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31213313310 = 2354675474073
BaseRepresentation
bin11101000100011101…
…010101110100011110
32222120022100121100010
4131010131111310132
51002411102011220
622201133344050
72153331533304
oct350435256436
988508317303
1031213313310
1112268113303
126071338026
132c3586b27a
141721642274
15c2a3e41e0
hex744755d1e

31213313310 has 64 divisors (see below), whose sum is σ = 75228072192. Its totient is φ = 8288507136.

The previous prime is 31213313309. The next prime is 31213313311. The reversal of 31213313310 is 1331331213.

It is an interprime number because it is at equal distance from previous prime (31213313309) and next prime (31213313311).

It is a super-2 number, since 2×312133133102 (a number of 22 digits) contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31213313311) 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 31 ways as a sum of consecutive naturals, for example, 7661434 + ... + 7665506.

It is an arithmetic number, because the mean of its divisors is an integer number (1175438628).

Almost surely, 231213313310 is an apocalyptic number.

31213313310 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

31213313310 is an abundant number, since it is smaller than the sum of its proper divisors (44014758882).

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

31213313310 is a wasteful number, since it uses less digits than its factorization.

31213313310 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5097.

The product of its (nonzero) digits is 486, while the sum is 21.

Adding to 31213313310 its reverse (1331331213), we get a palindrome (32544644523).

The spelling of 31213313310 in words is "thirty-one billion, two hundred thirteen million, three hundred thirteen thousand, three hundred ten".

Divisors: 1 2 3 5 6 10 15 30 467 547 934 1094 1401 1641 2335 2735 2802 3282 4073 4670 5470 7005 8146 8205 12219 14010 16410 20365 24438 40730 61095 122190 255449 510898 766347 1277245 1532694 1902091 2227931 2554490 3804182 3831735 4455862 5706273 6683793 7663470 9510455 11139655 11412546 13367586 19020910 22279310 28531365 33418965 57062730 66837930 1040443777 2080887554 3121331331 5202218885 6242662662 10404437770 15606656655 31213313310