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132201213002304 = 26317163724742103
BaseRepresentation
bin11110000011110001111110…
…010101110000001001000000
3122100002022102211121201120120
4132003301332111300021000
5114311441041012033204
61145100222051540240
736563136204414435
oct3603617625601100
9570068384551516
10132201213002304
113913a246296856
12129b15928ba680
13589c6a0533164
142490803c85b8c
151043ccc2536d9
hex783c7e570240

132201213002304 has 112 divisors (see below), whose sum is σ = 370584066722688. Its totient is φ = 41449552764928.

The previous prime is 132201213002239. The next prime is 132201213002399. The reversal of 132201213002304 is 403200312102231.

It is a Harshad number since it is a multiple of its sum of digits (24).

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, 7027884 + ... + 17714219.

It is an arithmetic number, because the mean of its divisors is an integer number (3308786310024).

Almost surely, 2132201213002304 is an apocalyptic number.

It is an amenable number.

132201213002304 is an abundant number, since it is smaller than the sum of its proper divisors (238382853720384).

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

132201213002304 is a wasteful number, since it uses less digits than its factorization.

132201213002304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24743772 (or 24743762 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 132201213002304 its reverse (403200312102231), we get a palindrome (535401525104535).

The spelling of 132201213002304 in words is "one hundred thirty-two trillion, two hundred one billion, two hundred thirteen million, two thousand, three hundred four".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 48 51 64 68 96 102 136 192 204 272 408 544 816 1088 1632 1637 3264 3274 4911 6548 9822 13096 19644 26192 27829 39288 52384 55658 78576 83487 104768 111316 157152 166974 222632 314304 333948 445264 667896 890528 1335792 1781056 2671584 5343168 24742103 49484206 74226309 98968412 148452618 197936824 296905236 395873648 420615751 593810472 791747296 841231502 1187620944 1261847253 1583494592 1682463004 2375241888 2523694506 3364926008 4750483776 5047389012 6729852016 10094778024 13459704032 20189556048 26919408064 40379112096 40502822611 80758224192 81005645222 121508467833 162011290444 243016935666 324022580888 486033871332 648045161776 688547984387 972067742664 1296090323552 1377095968774 1944135485328 2065643953161 2592180647104 2754191937548 3888270970656 4131287906322 5508383875096 7776541941312 8262575812644 11016767750192 16525151625288 22033535500384 33050303250576 44067071000768 66100606501152 132201213002304