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31125252114 = 23211594875471
BaseRepresentation
bin11100111111001101…
…011010100000010010
32222100011122122002100
4130333031122200102
51002221031031424
622144310101230
72151212164155
oct347715324022
988304578070
1031125252114
1112222436660
12604794a816
132c20547958
141713a7bc9c
15c227ebdc9
hex73f35a812

31125252114 has 96 divisors (see below), whose sum is σ = 74983034880. Its totient is φ = 9251301600.

The previous prime is 31125252083. The next prime is 31125252127. The reversal of 31125252114 is 41125252113.

It is a happy number.

31125252114 is a `hidden beast` number, since 3 + 1 + 125 + 2 + 521 + 14 = 666.

It is a super-2 number, since 2×311252521142 (a number of 22 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5686399 + ... + 5691869.

It is an arithmetic number, because the mean of its divisors is an integer number (781073280).

Almost surely, 231125252114 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 31125252114, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37491517440).

31125252114 is an abundant number, since it is smaller than the sum of its proper divisors (43857782766).

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

31125252114 is a wasteful number, since it uses less digits than its factorization.

31125252114 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6036 (or 6033 counting only the distinct ones).

The product of its digits is 2400, while the sum is 27.

Subtracting 31125252114 from its reverse (41125252113), we obtain a palindrome (9999999999).

The spelling of 31125252114 in words is "thirty-one billion, one hundred twenty-five million, two hundred fifty-two thousand, one hundred fourteen".

Divisors: 1 2 3 6 9 11 18 22 33 59 66 99 118 177 198 354 487 531 649 974 1062 1298 1461 1947 2922 3894 4383 5357 5471 5841 8766 10714 10942 11682 16071 16413 28733 32142 32826 48213 49239 57466 60181 86199 96426 98478 120362 172398 180543 258597 316063 322789 361086 517194 541629 632126 645578 948189 968367 1083258 1896378 1936734 2664377 2844567 2905101 3550679 5328754 5689134 5810202 7101358 7993131 10652037 15986262 21304074 23979393 29308147 31956111 47958786 58616294 63912222 87924441 157198243 175848882 263773323 314396486 471594729 527546646 943189458 1414784187 1729180673 2829568374 3458361346 5187542019 10375084038 15562626057 31125252114