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331311013020 = 223451315731767
BaseRepresentation
bin1001101001000111010…
…11001101110010011100
31011200011122010021220000
410310203223031302130
520412011104404040
6412111400454300
732636124100521
oct4644353156234
91150148107800
10331311013020
1111856547a869
125426347a390
132531c9b6650
141206d737148
158941451130
hex4d23acdc9c

331311013020 has 120 divisors (see below), whose sum is σ = 1119283829664. Its totient is φ = 81553474944.

The previous prime is 331311013013. The next prime is 331311013051. The reversal of 331311013020 is 20310113133.

It is a happy number.

331311013020 is a `hidden beast` number, since 331 + 31 + 1 + 0 + 1 + 302 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 331311012984 and 331311013002.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 7844824 + ... + 7886943.

Almost surely, 2331311013020 is an apocalyptic number.

331311013020 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

331311013020 is an abundant number, since it is smaller than the sum of its proper divisors (787972816644).

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

331311013020 is a wasteful number, since it uses less digits than its factorization.

331311013020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15731801 (or 15731790 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

Adding to 331311013020 its reverse (20310113133), we get a palindrome (351621126153).

The spelling of 331311013020 in words is "three hundred thirty-one billion, three hundred eleven million, thirteen thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 13 15 18 20 26 27 30 36 39 45 52 54 60 65 78 81 90 108 117 130 135 156 162 180 195 234 260 270 324 351 390 405 468 540 585 702 780 810 1053 1170 1404 1620 1755 2106 2340 3510 4212 5265 7020 10530 21060 15731767 31463534 47195301 62927068 78658835 94390602 141585903 157317670 188781204 204512971 235976505 283171806 314635340 409025942 424757709 471953010 566343612 613538913 707929515 818051884 849515418 943906020 1022564855 1227077826 1274273127 1415859030 1699030836 1840616739 2045129710 2123788545 2454155652 2548546254 2831718060 3067694565 3681233478 4090259420 4247577090 5097092508 5521850217 6135389130 6371365635 7362466956 8495154180 9203083695 11043700434 12270778260 12742731270 16565550651 18406167390 22087400868 25485462540 27609251085 33131101302 36812334780 55218502170 66262202604 82827753255 110437004340 165655506510 331311013020