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31331421330 = 23511237952253
BaseRepresentation
bin11101001011011111…
…111000110010010010
32222212112121010002020
4131023133320302102
51003131320440310
622220553032310
72156264454456
oct351337706222
988775533066
1031331421330
1112318852640
1260a49b5696
132c54181c81
1417331c8666
15c35974170
hex74b7f8c92

31331421330 has 128 divisors (see below), whose sum is σ = 86683115520. Its totient is φ = 7173154560.

The previous prime is 31331421313. The next prime is 31331421343. The reversal of 31331421330 is 3312413313.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 31331421330.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 573484 + ... + 625736.

It is an arithmetic number, because the mean of its divisors is an integer number (677211840).

Almost surely, 231331421330 is an apocalyptic number.

31331421330 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 31331421330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43341557760).

31331421330 is an abundant number, since it is smaller than the sum of its proper divisors (55351694190).

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

31331421330 is a wasteful number, since it uses less digits than its factorization.

31331421330 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52376.

The product of its (nonzero) digits is 1944, while the sum is 24.

Adding to 31331421330 its reverse (3312413313), we get a palindrome (34643834643).

The spelling of 31331421330 in words is "thirty-one billion, three hundred thirty-one million, four hundred twenty-one thousand, three hundred thirty".

Divisors: 1 2 3 5 6 10 11 15 22 23 30 33 46 55 66 69 79 110 115 138 158 165 230 237 253 330 345 395 474 506 690 759 790 869 1185 1265 1518 1738 1817 2370 2530 2607 3634 3795 4345 5214 5451 7590 8690 9085 10902 13035 18170 19987 26070 27255 39974 52253 54510 59961 99935 104506 119922 156759 199870 261265 299805 313518 522530 574783 599610 783795 1149566 1201819 1567590 1724349 2403638 2873915 3448698 3605457 4127987 5747830 6009095 7210914 8255974 8621745 12018190 12383961 13220009 17243490 18027285 20639935 24767922 26440018 36054570 39660027 41279870 45407857 61919805 66100045 79320054 90815714 94943701 123839610 132200090 136223571 189887402 198300135 227039285 272447142 284831103 396600270 454078570 474718505 569662206 681117855 949437010 1044380711 1362235710 1424155515 2088761422 2848311030 3133142133 5221903555 6266284266 10443807110 15665710665 31331421330