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31121414268 = 22371989219097
BaseRepresentation
bin11100111110111110…
…110001100001111100
32222022220102122112220
4130332332301201330
51002214040224033
622144051525340
72151134441130
oct347676614174
988286378486
1031121414268
111222025518a
1260465b9850
132c1c802b39
14171335d3c0
15c222debb3
hex73efb187c

31121414268 has 96 divisors (see below), whose sum is σ = 88340313600. Its totient is φ = 8329153536.

The previous prime is 31121414267. The next prime is 31121414281. The reversal of 31121414268 is 86241412113.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31121414263) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 32496 + ... + 251592.

It is an arithmetic number, because the mean of its divisors is an integer number (920211600).

Almost surely, 231121414268 is an apocalyptic number.

31121414268 is a gapful number since it is divisible by the number (38) 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 31121414268, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44170156800).

31121414268 is an abundant number, since it is smaller than the sum of its proper divisors (57218899332).

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

31121414268 is a wasteful number, since it uses less digits than its factorization.

31121414268 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 219219 (or 219217 counting only the distinct ones).

The product of its digits is 9216, while the sum is 33.

The spelling of 31121414268 in words is "thirty-one billion, one hundred twenty-one million, four hundred fourteen thousand, two hundred sixty-eight".

Divisors: 1 2 3 4 6 7 12 14 19 21 28 38 42 57 76 84 89 114 133 178 228 266 267 356 399 532 534 623 798 1068 1246 1596 1691 1869 2492 3382 3738 5073 6764 7476 10146 11837 20292 23674 35511 47348 71022 142044 219097 438194 657291 876388 1314582 1533679 2629164 3067358 4162843 4601037 6134716 8325686 9202074 12488529 16651372 18404148 19499633 24977058 29139901 38999266 49954116 58279802 58498899 77998532 87419703 116559604 116997798 136497431 174839406 233995596 272994862 349678812 370493027 409492293 545989724 740986054 818984586 1111479081 1481972108 1637969172 2222958162 2593451189 4445916324 5186902378 7780353567 10373804756 15560707134 31121414268