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31300122424 = 23172316216173
BaseRepresentation
bin11101001001101000…
…011111011100111000
32222210100200222001111
4131021220133130320
51003100312404144
622213514130104
72155434436144
oct351150373470
988710628044
1031300122424
111230211527a
126096420934
132c4a8439cc
14172cd9c224
15c32d40534
hex749a1f738

31300122424 has 64 divisors (see below), whose sum is σ = 64892197440. Its totient is φ = 14078085120.

The previous prime is 31300122323. The next prime is 31300122431. The reversal of 31300122424 is 42422100313.

It is a junction number, because it is equal to n+sod(n) for n = 31300122395 and 31300122404.

It is a congruent number.

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, 5067402 + ... + 5073574.

It is an arithmetic number, because the mean of its divisors is an integer number (1013940585).

Almost surely, 231300122424 is an apocalyptic number.

31300122424 is a gapful number since it is divisible by the number (34) formed by its first and last digit.

It is an amenable number.

31300122424 is an abundant number, since it is smaller than the sum of its proper divisors (33592075016).

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

31300122424 is a wasteful number, since it uses less digits than its factorization.

31300122424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7840 (or 7836 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 22.

Adding to 31300122424 its reverse (42422100313), we get a palindrome (73722222737).

The spelling of 31300122424 in words is "thirty-one billion, three hundred million, one hundred twenty-two thousand, four hundred twenty-four".

Divisors: 1 2 4 8 17 23 34 46 68 92 136 184 391 782 1564 1621 3128 3242 6173 6484 12346 12968 24692 27557 37283 49384 55114 74566 104941 110228 141979 149132 209882 220456 283958 298264 419764 567916 633811 839528 1135832 1267622 2413643 2535244 4827286 5070488 9654572 10006433 19309144 20012866 40025732 80051464 170109361 230147959 340218722 460295918 680437444 920591836 1360874888 1841183672 3912515303 7825030606 15650061212 31300122424