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133001213310 = 232571223172619
BaseRepresentation
bin111101111011101111…
…1010111010101111110
3110201022002020200022100
41323313133113111332
54134341302311220
6141033325325530
712415615442250
oct1736737272576
9421262220270
10133001213310
1151450799109
1221939a068a6
13c7078c23b4
146619d09cd0
1536d6596d90
hex1ef77d757e

133001213310 has 96 divisors (see below), whose sum is σ = 395529039360. Its totient is φ = 30375244224.

The previous prime is 133001213309. The next prime is 133001213329. The reversal of 133001213310 is 13312100331.

It is a happy number.

133001213310 is a `hidden beast` number, since 1 + 330 + 0 + 1 + 2 + 1 + 331 + 0 = 666.

It is a super-2 number, since 2×1330012133102 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 684181 + ... + 856799.

It is an arithmetic number, because the mean of its divisors is an integer number (4120094160).

Almost surely, 2133001213310 is an apocalyptic number.

133001213310 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 133001213310, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (197764519680).

133001213310 is an abundant number, since it is smaller than the sum of its proper divisors (262527826050).

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

133001213310 is a wasteful number, since it uses less digits than its factorization.

133001213310 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 173862 (or 173859 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

Adding to 133001213310 its reverse (13312100331), we get a palindrome (146313313641).

The spelling of 133001213310 in words is "one hundred thirty-three billion, one million, two hundred thirteen thousand, three hundred ten".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 30 35 42 45 63 70 90 105 126 210 315 630 1223 2446 3669 6115 7338 8561 11007 12230 17122 18345 22014 25683 36690 42805 51366 55035 77049 85610 110070 128415 154098 172619 256830 345238 385245 517857 770490 863095 1035714 1208333 1553571 1726190 2416666 2589285 3107142 3624999 5178570 6041665 7249998 7767855 10874997 12083330 15535710 18124995 21749994 36249990 54374985 108749970 211113037 422226074 633339111 1055565185 1266678222 1477791259 1900017333 2111130370 2955582518 3166695555 3800034666 4433373777 6333391110 7388956295 8866747554 9500086665 13300121331 14777912590 19000173330 22166868885 26600242662 44333737770 66500606655 133001213310