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102012111131131 = 4113626431825937
BaseRepresentation
bin10111001100011110001011…
…101001011001000111111011
3111101012021002102101120212001
4113030132023221121013323
5101332331300422144011
61000543414503201431
730326063132436445
oct2714361351310773
9441167072346761
10102012111131131
112a560103313043
12b536769746277
1344bc915881ca6
141b295abd6b495
15bbd880b707c1
hex5cc78ba591fb

102012111131131 has 8 divisors (see below), whose sum is σ = 104500345323024. Its totient is φ = 99523883316480.

The previous prime is 102012111131101. The next prime is 102012111131137. The reversal of 102012111131131 is 131131111210201.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 102012111131131 - 211 = 102012111129083 is a prime.

It is a super-2 number, since 2×1020121111311312 (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 102012111131099 and 102012111131108.

It is not an unprimeable number, because it can be changed into a prime (102012111131137) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 54955395 + ... + 56781331.

It is an arithmetic number, because the mean of its divisors is an integer number (13062543165378).

Almost surely, 2102012111131131 is an apocalyptic number.

102012111131131 is a deficient number, since it is larger than the sum of its proper divisors (2488234191893).

102012111131131 is a wasteful number, since it uses less digits than its factorization.

102012111131131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3188621.

The product of its (nonzero) digits is 36, while the sum is 19.

Adding to 102012111131131 its reverse (131131111210201), we get a palindrome (233143222341332).

The spelling of 102012111131131 in words is "one hundred two trillion, twelve billion, one hundred eleven million, one hundred thirty-one thousand, one hundred thirty-one".

Divisors: 1 41 1362643 1825937 55868363 74863417 2488100271491 102012111131131