Search a number
-
+
131110100130120 = 23351092584167751
BaseRepresentation
bin11101110011111001110010…
…111100011101100101001000
3122012020000002022020211022220
4131303321302330131211020
5114141101441113130440
61142503052024214040
736421251335134506
oct3563716274354510
9565200068224286
10131110100130120
11388595325434a1
121285602330a320
135820824a086c7
142453a96c11676
15102571bad58d0
hex773e72f1d948

131110100130120 has 32 divisors (see below), whose sum is σ = 393330300390720. Its totient is φ = 34962693368000.

The previous prime is 131110100130101. The next prime is 131110100130131. The reversal of 131110100130120 is 21031001011131.

It is a super-2 number, since 2×1311101001301202 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 131110100130120.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 546292083756 + ... + 546292083995.

It is an arithmetic number, because the mean of its divisors is an integer number (12291571887210).

Almost surely, 2131110100130120 is an apocalyptic number.

131110100130120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131110100130120 is an abundant number, since it is smaller than the sum of its proper divisors (262220200260600).

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

131110100130120 is a wasteful number, since it uses less digits than its factorization.

131110100130120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1092584167765 (or 1092584167761 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 15.

Adding to 131110100130120 its reverse (21031001011131), we get a palindrome (152141101141251).

The spelling of 131110100130120 in words is "one hundred thirty-one trillion, one hundred ten billion, one hundred million, one hundred thirty thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 1092584167751 2185168335502 3277752503253 4370336671004 5462920838755 6555505006506 8740673342008 10925841677510 13111010013012 16388762516265 21851683355020 26222020026024 32777525032530 43703366710040 65555050065060 131110100130120