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31123211136 = 273196169931
BaseRepresentation
bin11100111111000101…
…101000001110000000
32222100000210221101120
4130333011220032000
51002220020224021
622144154232240
72151155633613
oct347705501600
988300727346
1031123211136
11122212721a6
126047125680
132c1ccb1984
1417136aa17a
15c225472c6
hex73f168380

31123211136 has 128 divisors (see below), whose sum is σ = 88449993600. Its totient is φ = 9667123200.

The previous prime is 31123211083. The next prime is 31123211149. The reversal of 31123211136 is 63111232113.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 410091 + ... + 480021.

It is an arithmetic number, because the mean of its divisors is an integer number (691015575).

Almost surely, 231123211136 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 31123211136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44224996800).

31123211136 is an abundant number, since it is smaller than the sum of its proper divisors (57326782464).

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

31123211136 is a wasteful number, since it uses less digits than its factorization.

31123211136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 70028 (or 70016 counting only the distinct ones).

The product of its digits is 648, while the sum is 24.

Adding to 31123211136 its reverse (63111232113), we get a palindrome (94234443249).

The spelling of 31123211136 in words is "thirty-one billion, one hundred twenty-three million, two hundred eleven thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 12 16 19 24 32 38 48 57 61 64 76 96 114 122 128 152 183 192 228 244 304 366 384 456 488 608 732 912 976 1159 1216 1464 1824 1952 2318 2432 2928 3477 3648 3904 4636 5856 6954 7296 7808 9272 11712 13908 18544 23424 27816 37088 55632 69931 74176 111264 139862 148352 209793 222528 279724 419586 445056 559448 839172 1118896 1328689 1678344 2237792 2657378 3356688 3986067 4265791 4475584 5314756 6713376 7972134 8531582 8951168 10629512 12797373 13426752 15944268 17063164 21259024 25594746 26853504 31888536 34126328 42518048 51189492 63777072 68252656 81050029 85036096 102378984 127554144 136505312 162100058 170072192 204757968 243150087 255108288 273010624 324200116 409515936 486300174 510216576 546021248 648400232 819031872 972600348 1296800464 1638063744 1945200696 2593600928 3890401392 5187201856 7780802784 10374403712 15561605568 31123211136