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31311012233020 = 225131913072053771
BaseRepresentation
bin1110001111010001010011…
…10000101111111100111100
311002212022012021111121111111
413013220221300233330330
513100444423112424040
6150332025213131404
76411101033453332
oct707505160577474
9132768167447444
1031311012233020
119a81a20146973
12361834a789b64
131461800b550b0
147a36652abb52
153947108a7dea
hex1c7a29c2ff3c

31311012233020 has 96 divisors (see below), whose sum is σ = 71413694263296. Its totient is φ = 11462994028800.

The previous prime is 31311012232993. The next prime is 31311012233047. The reversal of 31311012233020 is 2033221011313.

It is an interprime number because it is at equal distance from previous prime (31311012232993) and next prime (31311012233047).

It is a junction number, because it is equal to n+sod(n) for n = 31311012232982 and 31311012233000.

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, 14218735 + ... + 16272505.

It is an arithmetic number, because the mean of its divisors is an integer number (743892648576).

Almost surely, 231311012233020 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 31311012233020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35706847131648).

31311012233020 is an abundant number, since it is smaller than the sum of its proper divisors (40102682030276).

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

31311012233020 is a wasteful number, since it uses less digits than its factorization.

31311012233020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2054291 (or 2054289 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 22.

Adding to 31311012233020 its reverse (2033221011313), we get a palindrome (33344233244333).

The spelling of 31311012233020 in words is "thirty-one trillion, three hundred eleven billion, twelve million, two hundred thirty-three thousand, twenty".

Divisors: 1 2 4 5 10 13 20 26 52 65 130 191 260 307 382 614 764 955 1228 1535 1910 2483 3070 3820 3991 4966 6140 7982 9932 12415 15964 19955 24830 39910 49660 58637 79820 117274 234548 293185 586370 762281 1172740 1524562 2053771 3049124 3811405 4107542 7622810 8215084 10268855 15245620 20537710 26699023 41075420 53398046 106796092 133495115 266990230 392270261 533980460 630507697 784540522 1261015394 1569081044 1961351305 2522030788 3152538485 3922702610 5099513393 6305076970 7845405220 8196600061 10199026786 12610153940 16393200122 20398053572 25497566965 32786400244 40983000305 50995133930 81966000610 101990267860 120426970127 163932001220 240853940254 481707880508 602134850635 1204269701270 1565550611651 2408539402540 3131101223302 6262202446604 7827753058255 15655506116510 31311012233020