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132133311300012 = 223113738969548387
BaseRepresentation
bin11110000010110010101111…
…000101010100000110101100
3122022211211011122120212000220
4132002302233011110012230
5114304333010143100022
61145005112154451340
736555213426442011
oct3602625705240654
9568754148525026
10132133311300012
113911347157a920
12129a03a2733b50
13589616ba2b8a9
14248b401bd5708
151042155e7085c
hex782caf1541ac

132133311300012 has 96 divisors (see below), whose sum is σ = 346317589013760. Its totient is φ = 38858074225920.

The previous prime is 132133311300007. The next prime is 132133311300013. The reversal of 132133311300012 is 210003113331231.

It is not an unprimeable number, because it can be changed into a prime (132133311300013) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 32874318 + ... + 36674069.

It is an arithmetic number, because the mean of its divisors is an integer number (3607474885560).

Almost surely, 2132133311300012 is an apocalyptic number.

132133311300012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

132133311300012 is an abundant number, since it is smaller than the sum of its proper divisors (214184277713748).

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

132133311300012 is a wasteful number, since it uses less digits than its factorization.

132133311300012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 69548831 (or 69548829 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 24.

Adding to 132133311300012 its reverse (210003113331231), we get a palindrome (342136424631243).

The spelling of 132133311300012 in words is "one hundred thirty-two trillion, one hundred thirty-three billion, three hundred eleven million, three hundred thousand, twelve".

Divisors: 1 2 3 4 6 11 12 22 33 37 44 66 74 111 132 148 222 389 407 444 778 814 1167 1221 1556 1628 2334 2442 4279 4668 4884 8558 12837 14393 17116 25674 28786 43179 51348 57572 86358 158323 172716 316646 474969 633292 949938 1899876 69548387 139096774 208645161 278193548 417290322 765032257 834580644 1530064514 2295096771 2573290319 3060129028 4590193542 5146580638 7719870957 9180387084 10293161276 15439741914 27054322543 28306193509 30879483828 54108645086 56612387018 81162967629 84918580527 108217290172 113224774036 162325935258 169837161054 297597547973 324651870516 339674322108 595195095946 892792643919 1001009934091 1190390191892 1785585287838 2002019868182 3003029802273 3571170575676 4004039736364 6006059604546 11011109275001 12012119209092 22022218550002 33033327825003 44044437100004 66066655650006 132133311300012