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31311371910 = 23572132126037
BaseRepresentation
bin11101001010010011…
…011001111010000110
32222211010212111110010
4131022103121322012
51003111202400120
622214555211050
72155632161400
oct351223317206
988733774403
1031311371910
11123084a9175
12609a146a86
132c4cc82200
141730689b70
15c33d137e0
hex74a4d9e86

31311371910 has 144 divisors (see below), whose sum is σ = 94658571216. Its totient is φ = 6606302976.

The previous prime is 31311371899. The next prime is 31311371911. The reversal of 31311371910 is 1917311313.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31311371911) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 185412 + ... + 311448.

It is an arithmetic number, because the mean of its divisors is an integer number (657351189).

Almost surely, 231311371910 is an apocalyptic number.

31311371910 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 31311371910, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47329285608).

31311371910 is an abundant number, since it is smaller than the sum of its proper divisors (63347199306).

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

31311371910 is a wasteful number, since it uses less digits than its factorization.

31311371910 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 126087 (or 126067 counting only the distinct ones).

The product of its (nonzero) digits is 1701, while the sum is 30.

The spelling of 31311371910 in words is "thirty-one billion, three hundred eleven million, three hundred seventy-one thousand, nine hundred ten".

Divisors: 1 2 3 5 6 7 10 13 14 15 21 26 30 35 39 42 49 65 70 78 91 98 105 130 147 169 182 195 210 245 273 294 338 390 455 490 507 546 637 735 845 910 1014 1183 1274 1365 1470 1690 1911 2366 2535 2730 3185 3549 3822 5070 5915 6370 7098 8281 9555 11830 16562 17745 19110 24843 35490 41405 49686 82810 124215 126037 248430 252074 378111 630185 756222 882259 1260370 1638481 1764518 1890555 2646777 3276962 3781110 4411295 4915443 5293554 6175813 8192405 8822590 9830886 11469367 12351626 13233885 16384810 18527439 21300253 22938734 24577215 26467770 30879065 34408101 37054878 42600506 49154430 57346835 61758130 63900759 68816202 80285569 92637195 106501265 114693670 127801518 149101771 160571138 172040505 185274390 213002530 240856707 298203542 319503795 344081010 401427845 447305313 481713414 639007590 745508855 802855690 894610626 1043712397 1204283535 1491017710 2087424794 2236526565 2408567070 3131137191 4473053130 5218561985 6262274382 10437123970 15655685955 31311371910