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31352144310 = 235512902117
BaseRepresentation
bin11101001100101110…
…111100000110110110
32222220222120221200000
4131030232330012312
51003202122104220
622223013132130
72156635554354
oct351456740666
988828527600
1031352144310
1112329517073
1260ab92a046
132c585594a6
141735c607d4
15c376b9390
hex74cbbc1b6

31352144310 has 48 divisors (see below), whose sum is σ = 84534677136. Its totient is φ = 8360571168.

The previous prime is 31352144309. The next prime is 31352144333. The reversal of 31352144310 is 1344125313.

It is a happy number.

31352144310 is a `hidden beast` number, since 3 + 13 + 5 + 214 + 431 + 0 = 666.

It is a super-2 number, since 2×313521443102 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6448629 + ... + 6453488.

It is an arithmetic number, because the mean of its divisors is an integer number (1761139107).

Almost surely, 231352144310 is an apocalyptic number.

31352144310 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

31352144310 is an abundant number, since it is smaller than the sum of its proper divisors (53182532826).

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

31352144310 is a wasteful number, since it uses less digits than its factorization.

31352144310 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12902139 (or 12902127 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

Adding to 31352144310 its reverse (1344125313), we get a palindrome (32696269623).

The spelling of 31352144310 in words is "thirty-one billion, three hundred fifty-two million, one hundred forty-four thousand, three hundred ten".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 81 90 135 162 243 270 405 486 810 1215 2430 12902117 25804234 38706351 64510585 77412702 116119053 129021170 193531755 232238106 348357159 387063510 580595265 696714318 1045071477 1161190530 1741785795 2090142954 3135214431 3483571590 5225357385 6270428862 10450714770 15676072155 31352144310