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131320122011330 = 25717580119023107
BaseRepresentation
bin11101110110111101011001…
…001110010110111011000010
3122012222002012002110211022212
4131312331121032112323002
5114203022102213330310
61143143344202102122
736442365020516210
oct3566753116267302
9565862162424285
10131320122011330
113892a60740434a
121288a8771aa942
1358375854067b5
14245dcdbd0dcb0
15102ae0ecdb205
hex776f59396ec2

131320122011330 has 64 divisors (see below), whose sum is σ = 286084412220672. Its totient is φ = 42368261683200.

The previous prime is 131320122011329. The next prime is 131320122011339. The reversal of 131320122011330 is 33110221023131.

It is a super-4 number, since 4×1313201220113304 (a number of 58 digits) contains 4444 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 131320122011296 and 131320122011305.

It is not an unprimeable number, because it can be changed into a prime (131320122011339) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2608364 + ... + 16414743.

It is an arithmetic number, because the mean of its divisors is an integer number (4470068940948).

Almost surely, 2131320122011330 is an apocalyptic number.

131320122011330 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

131320122011330 is an abundant number, since it is smaller than the sum of its proper divisors (154764290209342).

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

131320122011330 is a wasteful number, since it uses less digits than its factorization.

131320122011330 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19028939.

The product of its (nonzero) digits is 648, while the sum is 23.

Adding to 131320122011330 its reverse (33110221023131), we get a palindrome (164430343034461).

The spelling of 131320122011330 in words is "one hundred thirty-one trillion, three hundred twenty billion, one hundred twenty-two million, eleven thousand, three hundred thirty".

Divisors: 1 2 5 7 10 14 17 34 35 70 85 119 170 238 595 1190 5801 11602 29005 40607 58010 81214 98617 197234 203035 406070 493085 690319 986170 1380638 3451595 6903190 19023107 38046214 95115535 133161749 190231070 266323498 323392819 646785638 665808745 1331617490 1616964095 2263749733 3233928190 4527499466 11318748665 22637497330 110353043707 220706087414 551765218535 772471305949 1103530437070 1544942611898 1876001743019 3752003486038 3862356529745 7724713059490 9380008715095 13132012201133 18760017430190 26264024402266 65660061005665 131320122011330