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1003213002132 = 223311844455389
BaseRepresentation
bin11101001100101000010…
…01111001010110010100
310112220110122020211211000
432212110021321112110
5112414040012032012
62044511504143300
7132323360551125
oct16462411712624
93486418224730
101003213002132
11357507649a60
1214251a007b30
13737aab3a533
14367ad05804c
151b168881ddc
hexe994279594

1003213002132 has 48 divisors (see below), whose sum is σ = 2837370110400. Its totient is φ = 304003939680.

The previous prime is 1003213002083. The next prime is 1003213002139. The reversal of 1003213002132 is 2312003123001.

1003213002132 is a `hidden beast` number, since 10 + 0 + 321 + 300 + 2 + 1 + 32 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1003213002139) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 422226507 + ... + 422228882.

It is an arithmetic number, because the mean of its divisors is an integer number (59111877300).

Almost surely, 21003213002132 is an apocalyptic number.

1003213002132 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1003213002132 is an abundant number, since it is smaller than the sum of its proper divisors (1834157108268).

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

1003213002132 is a wasteful number, since it uses less digits than its factorization.

1003213002132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 844455413 (or 844455405 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 1003213002132 its reverse (2312003123001), we get a palindrome (3315216125133).

The spelling of 1003213002132 in words is "one trillion, three billion, two hundred thirteen million, two thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 11 12 18 22 27 33 36 44 54 66 99 108 132 198 297 396 594 1188 844455389 1688910778 2533366167 3377821556 5066732334 7600098501 9289009279 10133464668 15200197002 18578018558 22800295503 27867027837 30400394004 37156037116 45600591006 55734055674 83601083511 91201182012 111468111348 167202167022 250803250533 334404334044 501606501066 1003213002132