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31240023210 = 23251122868689
BaseRepresentation
bin11101000110000011…
…001110110010101010
32222122011121121102200
4131012003032302222
51002434421220320
622203530041030
72154104546604
oct350603166252
988564547380
1031240023210
11122811a6900
12607a279176
132c3b260846
141724dd6174
15c2c91d290
hex7460cecaa

31240023210 has 72 divisors (see below), whose sum is σ = 89279370180. Its totient is φ = 7573336320.

The previous prime is 31240023137. The next prime is 31240023211. The reversal of 31240023210 is 1232004213.

31240023210 is a `hidden beast` number, since 31 + 2 + 400 + 23 + 210 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 28335998889 + 2904024321 = 168333^2 + 53889^2 .

It is a super-2 number, since 2×312400232102 (a number of 22 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (31240023211) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1423455 + ... + 1445234.

Almost surely, 231240023210 is an apocalyptic number.

31240023210 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

31240023210 is an abundant number, since it is smaller than the sum of its proper divisors (58039346970).

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

31240023210 is a wasteful number, since it uses less digits than its factorization.

31240023210 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2868724 (or 2868710 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 31240023210 its reverse (1232004213), we get a palindrome (32472027423).

The spelling of 31240023210 in words is "thirty-one billion, two hundred forty million, twenty-three thousand, two hundred ten".

Divisors: 1 2 3 5 6 9 10 11 15 18 22 30 33 45 55 66 90 99 110 121 165 198 242 330 363 495 605 726 990 1089 1210 1815 2178 3630 5445 10890 2868689 5737378 8606067 14343445 17212134 25818201 28686890 31555579 43030335 51636402 63111158 86060670 94666737 129091005 157777895 189333474 258182010 284000211 315555790 347111369 473333685 568000422 694222738 946667370 1041334107 1420001055 1735556845 2082668214 2840002110 3124002321 3471113690 5206670535 6248004642 10413341070 15620011605 31240023210