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313120331304420 = 2235155315832122793
BaseRepresentation
bin100011100110010000000001…
…0000111101000110111100100
31112001200000022021000201212010
41013030200002013220313210
5312020130414303220140
63025541254442154220
7122645124464454123
oct10714400207506744
91461600267021763
10313120331304420
119085164aa9a242
122b1509994b2970
1310594174ab5cc3
145747167ba5aba
15262eea20e0880
hex11cc8021e8de4

313120331304420 has 96 divisors (see below), whose sum is σ = 877856087066112. Its totient is φ = 83392236433408.

The previous prime is 313120331304409. The next prime is 313120331304433. The reversal of 313120331304420 is 24403133021313.

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

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, 146442544 + ... + 148565336.

It is an arithmetic number, because the mean of its divisors is an integer number (9144334240272).

Almost surely, 2313120331304420 is an apocalyptic number.

313120331304420 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

313120331304420 is an abundant number, since it is smaller than the sum of its proper divisors (564735755761692).

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

313120331304420 is a wasteful number, since it uses less digits than its factorization.

313120331304420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2125941 (or 2125939 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 30.

Adding to 313120331304420 its reverse (24403133021313), we get a palindrome (337523464325733).

The spelling of 313120331304420 in words is "three hundred thirteen trillion, one hundred twenty billion, three hundred thirty-one million, three hundred four thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 1553 1583 3106 3166 4659 4749 6212 6332 7765 7915 9318 9498 15530 15830 18636 18996 23295 23745 31060 31660 46590 47490 93180 94980 2122793 2458399 4245586 4916798 6368379 7375197 8491172 9833596 10613965 12291995 12736758 14750394 21227930 24583990 25473516 29500788 31841895 36875985 42455860 49167980 63683790 73751970 127367580 147503940 3296697529 3360381319 6593395058 6720762638 9890092587 10081143957 13186790116 13441525276 16483487645 16801906595 19780185174 20162287914 32966975290 33603813190 39560370348 40324575828 49450462935 50405719785 65933950580 67207626380 98900925870 100811439570 197801851740 201622879140 5218672188407 10437344376814 15656016565221 20874688753628 26093360942035 31312033130442 52186721884070 62624066260884 78280082826105 104373443768140 156560165652210 313120331304420