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131031301321220 = 22561130973820037
BaseRepresentation
bin11101110010110000011010…
…001010110111001000000100
3122011221110200200101120202012
4131302300122022313020010
5114133304101114234340
61142402540540233352
736412461540251666
oct3562603212671004
9564843620346665
10131031301321220
1138829076687033
12128428b183b858
1358162776c4271
14244dd3d7d6536
151023658cda565
hex772c1a2b7204

131031301321220 has 48 divisors (see below), whose sum is σ = 279679122859248. Its totient is φ = 51552842396160.

The previous prime is 131031301321211. The next prime is 131031301321357. The reversal of 131031301321220 is 22123103130131.

131031301321220 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 13556181424384 + 117475119896836 = 3681872^2 + 10838594^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 159377042 + ... + 160197078.

It is an arithmetic number, because the mean of its divisors is an integer number (5826648392901).

Almost surely, 2131031301321220 is an apocalyptic number.

131031301321220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131031301321220 is an abundant number, since it is smaller than the sum of its proper divisors (148647821538028).

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

131031301321220 is a wasteful number, since it uses less digits than its factorization.

131031301321220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 951080 (or 951078 counting only the distinct ones).

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

Adding to 131031301321220 its reverse (22123103130131), we get a palindrome (153154404451351).

The spelling of 131031301321220 in words is "one hundred thirty-one trillion, thirty-one billion, three hundred one million, three hundred twenty-one thousand, two hundred twenty".

Divisors: 1 2 4 5 10 20 61 122 244 305 610 1220 130973 261946 523892 654865 820037 1309730 1640074 2619460 3280148 4100185 7989353 8200370 15978706 16400740 31957412 39946765 50022257 79893530 100044514 159787060 200089028 250111285 500222570 1000445140 107402706001 214805412002 429610824004 537013530005 1074027060010 2148054120020 6551565066061 13103130132122 26206260264244 32757825330305 65515650660610 131031301321220