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31320422124 = 223172926919681
BaseRepresentation
bin11101001010110101…
…111011011011101100
32222211202220022000020
4131022311323123230
51003121012001444
622215521202140
72156102124015
oct351265733354
988752808006
1031320422124
111231261a792
1260a1190350
132c51b00674
14173196400c
15c34a00119
hex74ad7b6ec

31320422124 has 96 divisors (see below), whose sum is σ = 80349796800. Its totient is φ = 9451438080.

The previous prime is 31320422117. The next prime is 31320422131. The reversal of 31320422124 is 42122402313.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (31320422117) and next prime (31320422131).

It is a junction number, because it is equal to n+sod(n) for n = 31320422094 and 31320422103.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1581564 + ... + 1601244.

It is an arithmetic number, because the mean of its divisors is an integer number (836977050).

Almost surely, 231320422124 is an apocalyptic number.

31320422124 is a gapful number since it is divisible by the number (34) 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 31320422124, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40174898400).

31320422124 is an abundant number, since it is smaller than the sum of its proper divisors (49029374676).

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

31320422124 is a wasteful number, since it uses less digits than its factorization.

31320422124 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20003 (or 20001 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 31320422124 its reverse (42122402313), we get a palindrome (73442824437).

The spelling of 31320422124 in words is "thirty-one billion, three hundred twenty million, four hundred twenty-two thousand, one hundred twenty-four".

Divisors: 1 2 3 4 6 12 17 29 34 51 58 68 87 102 116 174 204 269 348 493 538 807 986 1076 1479 1614 1972 2958 3228 4573 5916 7801 9146 13719 15602 18292 19681 23403 27438 31204 39362 46806 54876 59043 78724 93612 118086 132617 236172 265234 334577 397851 530468 570749 669154 795702 1003731 1141498 1338308 1591404 1712247 2007462 2282996 3424494 4014924 5294189 6848988 9702733 10588378 15882567 19405466 21176756 29108199 31765134 38810932 58216398 63530268 90001213 116432796 153531481 180002426 270003639 307062962 360004852 460594443 540007278 614125924 921188886 1080014556 1842377772 2610035177 5220070354 7830105531 10440140708 15660211062 31320422124