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132000222330312 = 23371964736388607
BaseRepresentation
bin11110000000110110110010…
…010111001011110111001000
3122022101002122110012200120220
4132000312302113023313020
5114300142423404032222
61144424022012150040
736542462364040050
oct3600666227136710
9568332573180526
10132000222330312
1139071a862a3076
121297a63b468320
13588674bbc184b
142484bb83a4560
15103d966d41b5c
hex780db25cbdc8

132000222330312 has 128 divisors (see below), whose sum is σ = 397054542643200. Its totient is φ = 35723858139648.

The previous prime is 132000222330283. The next prime is 132000222330359. The reversal of 132000222330312 is 213033222000231.

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 31 ways as a sum of consecutive naturals, for example, 17467513 + ... + 23856119.

It is an arithmetic number, because the mean of its divisors is an integer number (3101988614400).

Almost surely, 2132000222330312 is an apocalyptic number.

132000222330312 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 132000222330312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (198527271321600).

132000222330312 is an abundant number, since it is smaller than the sum of its proper divisors (265054320312888).

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

132000222330312 is a wasteful number, since it uses less digits than its factorization.

132000222330312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6395115 (or 6395111 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 24.

Adding to 132000222330312 its reverse (213033222000231), we get a palindrome (345033444330543).

The spelling of 132000222330312 in words is "one hundred thirty-two trillion, two hundred twenty-two million, three hundred thirty thousand, three hundred twelve".

Divisors: 1 2 3 4 6 7 8 12 14 19 21 24 28 38 42 56 57 76 84 114 133 152 168 228 266 399 456 532 798 1064 1596 3192 6473 12946 19419 25892 38838 45311 51784 77676 90622 122987 135933 155352 181244 245974 271866 362488 368961 491948 543732 737922 860909 983896 1087464 1475844 1721818 2582727 2951688 3443636 5165454 6388607 6887272 10330908 12777214 19165821 20661816 25554428 38331642 44720249 51108856 76663284 89440498 121383533 134160747 153326568 178880996 242767066 268321494 357761992 364150599 485534132 536642988 728301198 849684731 971068264 1073285976 1456602396 1699369462 2549054193 2913204792 3398738924 5098108386 6797477848 10196216772 20392433544 41353453111 82706906222 124060359333 165413812444 248120718666 289474171777 330827624888 496241437332 578948343554 785715609109 868422515331 992482874664 1157896687108 1571431218218 1736845030662 2315793374216 2357146827327 3142862436436 3473690061324 4714293654654 5500009263763 6285724872872 6947380122648 9428587309308 11000018527526 16500027791289 18857174618616 22000037055052 33000055582578 44000074110104 66000111165156 132000222330312