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31338386120 = 2357119157773
BaseRepresentation
bin11101001011111010…
…011101001011001000
32222220000200221222102
4131023322131023020
51003140111323440
622221402212532
72156410613126
oct351372351310
988800627872
1031338386120
111232177a368
1260a71b4148
132c55750152
1417340bc916
15c3639cb15
hex74be9d2c8

31338386120 has 64 divisors (see below), whose sum is σ = 71880099840. Its totient is φ = 12293881600.

The previous prime is 31338386099. The next prime is 31338386161. The reversal of 31338386120 is 2168383313.

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, 513554 + ... + 571326.

It is an arithmetic number, because the mean of its divisors is an integer number (1123126560).

Almost surely, 231338386120 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 31338386120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35940049920).

31338386120 is an abundant number, since it is smaller than the sum of its proper divisors (40541713720).

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

31338386120 is a wasteful number, since it uses less digits than its factorization.

31338386120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58046 (or 58042 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 38.

The spelling of 31338386120 in words is "thirty-one billion, three hundred thirty-eight million, three hundred eighty-six thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 71 142 191 284 355 382 568 710 764 955 1420 1528 1910 2840 3820 7640 13561 27122 54244 57773 67805 108488 115546 135610 231092 271220 288865 462184 542440 577730 1155460 2310920 4101883 8203766 11034643 16407532 20509415 22069286 32815064 41018830 44138572 55173215 82037660 88277144 110346430 164075320 220692860 441385720 783459653 1566919306 3133838612 3917298265 6267677224 7834596530 15669193060 31338386120