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31212253243431 = 3213101197106312613
BaseRepresentation
bin1110001100011001010110…
…10001000110100000100111
311002111212021121001010111100
413012030223101012200213
513042340143312242211
6150214413341211143
76401003506060101
oct706145321064047
9132455247033440
1031212253243431
119a44051288307
123601188560ab3
1314553c2498550
1479c976db4571
15391d805aa156
hex1c632b446827

31212253243431 has 96 divisors (see below), whose sum is σ = 49332281910912. Its totient is φ = 18901533772800.

The previous prime is 31212253243417. The next prime is 31212253243459. The reversal of 31212253243431 is 13434235221213.

31212253243431 is a `hidden beast` number, since 3 + 1 + 21 + 22 + 532 + 43 + 43 + 1 = 666.

It is not a de Polignac number, because 31212253243431 - 25 = 31212253243399 is a prime.

It is a super-2 number, since 2×312122532434312 (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31212253243331) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2474603481 + ... + 2474616093.

It is an arithmetic number, because the mean of its divisors is an integer number (513877936572).

Almost surely, 231212253243431 is an apocalyptic number.

31212253243431 is a deficient number, since it is larger than the sum of its proper divisors (18120028667481).

31212253243431 is a wasteful number, since it uses less digits than its factorization.

31212253243431 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13993 (or 13990 counting only the distinct ones).

The product of its digits is 103680, while the sum is 36.

Adding to 31212253243431 its reverse (13434235221213), we get a palindrome (44646488464644).

The spelling of 31212253243431 in words is "thirty-one trillion, two hundred twelve billion, two hundred fifty-three million, two hundred forty-three thousand, four hundred thirty-one".

Divisors: 1 3 9 13 39 101 117 197 303 591 909 1063 1313 1773 2561 3189 3939 7683 9567 11817 12613 13819 19897 23049 37839 41457 59691 107363 113517 124371 163969 179073 209411 258661 322089 491907 628233 775983 966267 1273913 1395719 1475721 1884699 2327949 2484761 2722343 3821739 4187157 7454283 8167029 11465217 12561471 13407619 16560869 21150511 22362849 24501087 32301893 40222857 49682607 63451533 96905679 120668571 149047821 174299047 190354599 250960861 274956643 290717037 522897141 752882583 824869929 1354169519 1568691423 2258647749 2474609787 2641300943 3262491193 4062508557 7923902829 9787473579 12187525671 17604203747 23771708487 29362420737 34336912259 52812611241 103010736777 158437833723 266771395243 309032210331 800314185729 2400942557187 3468028138159 10404084414477 31212253243431