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3131332203132 = 2232728144220361
BaseRepresentation
bin101101100100010001111…
…100011001001001111100
3102002100111220222110012200
4231210101330121021330
5402300432021000012
610354303020231500
7442142221364430
oct55442174311174
912070456873180
103131332203132
11aa7a99438831
12426a5899b590
1319938b7063c3
14ab7b32a69c0
15566be5093dc
hex2d911f1927c

3131332203132 has 72 divisors (see below), whose sum is σ = 9078263437152. Its totient is φ = 891482457600.

The previous prime is 3131332203107. The next prime is 3131332203137. The reversal of 3131332203132 is 2313022331313.

3131332203132 is a `hidden beast` number, since 3 + 1 + 313 + 32 + 2 + 0 + 313 + 2 = 666.

3131332203132 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 3131332203096 and 3131332203105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3131332203137) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 22039369 + ... + 22180992.

Almost surely, 23131332203132 is an apocalyptic number.

It is an amenable number.

3131332203132 is an abundant number, since it is smaller than the sum of its proper divisors (5946931234020).

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

3131332203132 is a wasteful number, since it uses less digits than its factorization.

3131332203132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44220659 (or 44220654 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 27.

Adding to 3131332203132 its reverse (2313022331313), we get a palindrome (5444354534445).

The spelling of 3131332203132 in words is "three trillion, one hundred thirty-one billion, three hundred thirty-two million, two hundred three thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 84 126 252 281 562 843 1124 1686 1967 2529 3372 3934 5058 5901 7868 10116 11802 17703 23604 35406 70812 44220361 88440722 132661083 176881444 265322166 309542527 397983249 530644332 619085054 795966498 928627581 1238170108 1591932996 1857255162 2785882743 3714510324 5571765486 11143530972 12425921441 24851842882 37277764323 49703685764 74555528646 86981450087 111833292969 149111057292 173962900174 223666585938 260944350261 347925800348 447333171876 521888700522 782833050783 1043777401044 1565666101566 3131332203132