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132322412343312 = 243215111095487347
BaseRepresentation
bin11110000101100010110110…
…011000100011000000010000
3122100111220021102120011122100
4132011202312120203000100
5114320432300024441222
61145232024350240400
736604656506002032
oct3605426630430020
9570456242504570
10132322412343312
1139186690147594
1212a10b781b6100
1358aac47040a59
1424966205c9c52
1510470226644ac
hex7858b6623010

132322412343312 has 120 divisors (see below), whose sum is σ = 373107617887680. Its totient is φ = 43775851449600.

The previous prime is 132322412343263. The next prime is 132322412343361. The reversal of 132322412343312 is 213343214223231.

It is a happy number.

132322412343312 is a `hidden beast` number, since 1 + 3 + 2 + 322 + 4 + 12 + 3 + 4 + 3 + 312 = 666.

It is an interprime number because it is at equal distance from previous prime (132322412343263) and next prime (132322412343361).

It is a super-2 number, since 2×1323224123433122 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 21370423 + ... + 26857769.

It is an arithmetic number, because the mean of its divisors is an integer number (3109230149064).

Almost surely, 2132322412343312 is an apocalyptic number.

132322412343312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 132322412343312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186553808943840).

132322412343312 is an abundant number, since it is smaller than the sum of its proper divisors (240785205544368).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

132322412343312 is a wasteful number, since it uses less digits than its factorization.

132322412343312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5488621 (or 5488612 counting only the distinct ones).

The product of its digits is 124416, while the sum is 36.

Adding to 132322412343312 its reverse (213343214223231), we get a palindrome (345665626566543).

The spelling of 132322412343312 in words is "one hundred thirty-two trillion, three hundred twenty-two billion, four hundred twelve million, three hundred forty-three thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 151 302 453 604 906 1109 1208 1359 1812 2218 2416 2718 3327 3624 4436 5436 6654 7248 8872 9981 10872 13308 17744 19962 21744 26616 39924 53232 79848 159696 167459 334918 502377 669836 1004754 1339672 1507131 2009508 2679344 3014262 4019016 5487347 6028524 8038032 10974694 12057048 16462041 21949388 24114096 32924082 43898776 49386123 65848164 87797552 98772246 131696328 197544492 263392656 395088984 790177968 828589397 1657178794 2485768191 3314357588 4971536382 6085467823 6628715176 7457304573 9943072764 12170935646 13257430352 14914609146 18256403469 19886145528 24341871292 29829218292 36512806938 39772291056 48683742584 54769210407 59658436584 73025613876 97367485168 109538420814 119316873168 146051227752 219076841628 292102455504 438153683256 876307366512 918905641273 1837811282546 2756716923819 3675622565092 5513433847638 7351245130184 8270150771457 11026867695276 14702490260368 16540301542914 22053735390552 33080603085828 44107470781104 66161206171656 132322412343312