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31303364512 = 2573110694217
BaseRepresentation
bin11101001001110100…
…110110111110100000
32222210120210200100211
4131021310312332200
51003102130131022
622214111423504
72155504131250
oct351164667640
988716720324
1031303364512
1112303a2a092
126097524b94
132c4b40a5c4
14172d5a3960
15c33280e77
hex749d36fa0

31303364512 has 96 divisors (see below), whose sum is σ = 72789857280. Its totient is φ = 12967741440.

The previous prime is 31303364429. The next prime is 31303364531. The reversal of 31303364512 is 21546330313.

It is a super-2 number, since 2×313033645122 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (31).

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 7421028 + ... + 7425244.

It is an arithmetic number, because the mean of its divisors is an integer number (758227680).

Almost surely, 231303364512 is an apocalyptic number.

31303364512 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 31303364512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36394928640).

31303364512 is an abundant number, since it is smaller than the sum of its proper divisors (41486492768).

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

31303364512 is a wasteful number, since it uses less digits than its factorization.

31303364512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5334 (or 5326 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 31.

Adding to 31303364512 its reverse (21546330313), we get a palindrome (52849694825).

The spelling of 31303364512 in words is "thirty-one billion, three hundred three million, three hundred sixty-four thousand, five hundred twelve".

Divisors: 1 2 4 7 8 14 16 28 31 32 56 62 112 124 217 224 248 434 496 868 992 1069 1736 2138 3472 4217 4276 6944 7483 8434 8552 14966 16868 17104 29519 29932 33139 33736 34208 59038 59864 66278 67472 118076 119728 130727 132556 134944 231973 236152 239456 261454 265112 463946 472304 522908 530224 915089 927892 944608 1045816 1060448 1830178 1855784 2091632 3660356 3711568 4183264 4507973 7320712 7423136 9015946 14641424 18031892 29282848 31555811 36063784 63111622 72127568 126223244 139747163 144255136 252446488 279494326 504892976 558988652 978230141 1009785952 1117977304 1956460282 2235954608 3912920564 4471909216 7825841128 15651682256 31303364512