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31331320112120 = 2357415694796501
BaseRepresentation
bin1110001111110111001000…
…01101001010001111111000
311002221020121120100202110212
413013323210031022033320
513101313020422041440
6150345224301330252
76412420214544050
oct707734415121770
9132836546322425
1031331320112120
119a8a5a1441026
123620277866988
1314636b9258bc2
147a4630418560
15394eed68c465
hex1c7ee434a3f8

31331320112120 has 128 divisors (see below), whose sum is σ = 82676345673600. Its totient is φ = 10461742080000.

The previous prime is 31331320112117. The next prime is 31331320112153. The reversal of 31331320112120 is 2121102313313.

It is a congruent number.

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, 4133870 + ... + 8930370.

It is an arithmetic number, because the mean of its divisors is an integer number (645908950575).

Almost surely, 231331320112120 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 31331320112120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41338172836800).

31331320112120 is an abundant number, since it is smaller than the sum of its proper divisors (51345025561480).

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

31331320112120 is a wasteful number, since it uses less digits than its factorization.

31331320112120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4797129 (or 4797125 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 23.

Adding to 31331320112120 its reverse (2121102313313), we get a palindrome (33452422425433).

The spelling of 31331320112120 in words is "thirty-one trillion, three hundred thirty-one billion, three hundred twenty million, one hundred twelve thousand, one hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 41 56 70 82 140 164 205 280 287 328 410 569 574 820 1138 1148 1435 1640 2276 2296 2845 2870 3983 4552 5690 5740 7966 11380 11480 15932 19915 22760 23329 31864 39830 46658 79660 93316 116645 159320 163303 186632 233290 326606 466580 653212 816515 933160 1306424 1633030 3266060 4796501 6532120 9593002 19186004 23982505 33575507 38372008 47965010 67151014 95930020 134302028 167877535 191860040 196656541 268604056 335755070 393313082 671510140 786626164 983282705 1343020280 1376595787 1573252328 1966565410 2729209069 2753191574 3933130820 5458418138 5506383148 6882978935 7866261640 10916836276 11012766296 13646045345 13765957870 19104463483 21833672552 27292090690 27531915740 38208926966 54584181380 55063831480 76417853932 95522317415 109168362760 111897571829 152835707864 191044634830 223795143658 382089269660 447590287316 559487859145 764178539320 783283002803 895180574632 1118975718290 1566566005606 2237951436580 3133132011212 3916415014015 4475902873160 6266264022424 7832830028030 15665660056060 31331320112120