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1002331032132 = 2237310337929311
BaseRepresentation
bin11101001010111111001…
…01011100101001000100
310112211012011200010102110
432211133211130221010
5112410233221012012
62044244200341020
7132262461125043
oct16453745345104
93484164603373
101002331032132
113570a4811931
12142312774770
137369a1b76b1
1436727c7255a
151b11621773c
hexe95f95ca44

1002331032132 has 96 divisors (see below), whose sum is σ = 2400226017280. Its totient is φ = 325461991680.

The previous prime is 1002331032103. The next prime is 1002331032233. The reversal of 1002331032132 is 2312301332001.

It is a junction number, because it is equal to n+sod(n) for n = 1002331032099 and 1002331032108.

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, 34181757 + ... + 34211067.

Almost surely, 21002331032132 is an apocalyptic number.

1002331032132 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1002331032132 is an abundant number, since it is smaller than the sum of its proper divisors (1397894985148).

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

1002331032132 is a wasteful number, since it uses less digits than its factorization.

1002331032132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29873 (or 29871 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 21.

Adding to 1002331032132 its reverse (2312301332001), we get a palindrome (3314632364133).

The spelling of 1002331032132 in words is "one trillion, two billion, three hundred thirty-one million, thirty-two thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 12 73 103 146 206 219 292 309 379 412 438 618 758 876 1137 1236 1516 2274 4548 7519 15038 22557 27667 29311 30076 39037 45114 55334 58622 78074 83001 87933 90228 110668 117111 117244 156148 166002 175866 234222 332004 351732 468444 2139703 2849701 3019033 4279406 5699402 6038066 6419109 8549103 8558812 9057099 11108869 11398804 12076132 12838218 17098206 18114198 22217738 25676436 33326607 34196412 36228396 44435476 66653214 133306428 220389409 440778818 661168227 810947437 881557636 1144213507 1322336454 1621894874 2288427014 2432842311 2644672908 3243789748 3432640521 4576854028 4865684622 6865281042 9731369244 13730562084 83527586011 167055172022 250582758033 334110344044 501165516066 1002331032132