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31311320301300 = 223521311371049059
BaseRepresentation
bin1110001111010001111000…
…00111111011111011110100
311002212022222202012002201210
413013220330013323323310
513101001040444120200
6150332115540121420
76411111464135514
oct707507407737364
9132768882162653
1031311320301300
119a82069031156
123618415996270
13146184c919410
147a3694181844
1539472c95c650
hex1c7a3c1fbef4

31311320301300 has 144 divisors (see below), whose sum is σ = 98426252191680. Its totient is φ = 7639194716160.

The previous prime is 31311320301269. The next prime is 31311320301311. The reversal of 31311320301300 is 310302311313.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 35083830 + ... + 35965229.

It is an arithmetic number, because the mean of its divisors is an integer number (683515640220).

Almost surely, 231311320301300 is an apocalyptic number.

31311320301300 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

31311320301300 is an abundant number, since it is smaller than the sum of its proper divisors (67114931890380).

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

31311320301300 is a wasteful number, since it uses less digits than its factorization.

31311320301300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71049202 (or 71049195 counting only the distinct ones).

The product of its (nonzero) digits is 486, while the sum is 21.

Adding to 31311320301300 its reverse (310302311313), we get a palindrome (31621622612613).

The spelling of 31311320301300 in words is "thirty-one trillion, three hundred eleven billion, three hundred twenty million, three hundred one thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 25 26 30 39 50 52 60 65 75 78 100 113 130 150 156 195 226 260 300 325 339 390 452 565 650 678 780 975 1130 1300 1356 1469 1695 1950 2260 2825 2938 3390 3900 4407 5650 5876 6780 7345 8475 8814 11300 14690 16950 17628 22035 29380 33900 36725 44070 73450 88140 110175 146900 220350 440700 71049059 142098118 213147177 284196236 355245295 426294354 710490590 852588708 923637767 1065735885 1420981180 1776226475 1847275534 2131471770 2770913301 3552452950 3694551068 4262943540 4618188835 5328679425 5541826602 7104905900 8028543667 9236377670 10657358850 11083653204 13854566505 16057087334 18472755340 21314717700 23090944175 24085631001 27709133010 32114174668 40142718335 46181888350 48171262002 55418266020 69272832525 80285436670 92363776700 96342524004 104371067671 120428155005 138545665050 160570873340 200713591675 208742135342 240856310010 277091330100 313113203013 401427183350 417484270684 481712620020 521855338355 602140775025 626226406026 802854366700 1043710676710 1204281550050 1252452812052 1565566015065 2087421353420 2408563100100 2609276691775 3131132030130 5218553383550 6262264060260 7827830075325 10437106767100 15655660150650 31311320301300