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132313304224 = 25311993591867
BaseRepresentation
bin111101100111001111…
…1001100110010100000
3110122112010211021110001
41323032133030302200
54131434201213344
6140441153145344
712362563346353
oct1731637146240
9418463737401
10132313304224
1151128457902
122178755b254
13c6282274ba
1465927dc29a
153695eb1ed4
hex1ece7ccca0

132313304224 has 96 divisors (see below), whose sum is σ = 271143936000. Its totient is φ = 63489381120.

The previous prime is 132313304209. The next prime is 132313304239. The reversal of 132313304224 is 422403313231.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (132313304209) and next prime (132313304239).

It is a junction number, because it is equal to n+sod(n) for n = 132313304192 and 132313304201.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 70868539 + ... + 70870405.

It is an arithmetic number, because the mean of its divisors is an integer number (2824416000).

Almost surely, 2132313304224 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 132313304224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135571968000).

132313304224 is an abundant number, since it is smaller than the sum of its proper divisors (138830631776).

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

132313304224 is a wasteful number, since it uses less digits than its factorization.

132313304224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2466 (or 2458 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 28.

Adding to 132313304224 its reverse (422403313231), we get a palindrome (554716617455).

The spelling of 132313304224 in words is "one hundred thirty-two billion, three hundred thirteen million, three hundred four thousand, two hundred twenty-four".

Divisors: 1 2 4 8 16 31 32 62 124 199 248 359 398 496 718 796 992 1436 1592 1867 2872 3184 3734 5744 6169 6368 7468 11129 11488 12338 14936 22258 24676 29872 44516 49352 57877 59744 71441 89032 98704 115754 142882 178064 197408 231508 285764 356128 371533 463016 571528 670253 743066 926032 1143056 1340506 1486132 1852064 2214671 2286112 2681012 2972264 4429342 5362024 5944528 8858684 10724048 11517523 11889056 17717368 20777843 21448096 23035046 35434736 41555686 46070092 70869472 83111372 92140184 133380347 166222744 184280368 266760694 332445488 368560736 533521388 664890976 1067042776 2134085552 4134790757 4268171104 8269581514 16539163028 33078326056 66156652112 132313304224