Search a number
-
+
1032010132131 = 321193077111997
BaseRepresentation
bin11110000010010001001…
…10001110101010100011
310122122210120010121202100
433001020212032222203
5113402024043212011
62110033210421443
7134363113246266
oct17011046165243
93578716117670
101032010132131
113687448a6a50
12148016131883
1376419c44a24
1437d41826cdd
151bca1aa4d56
hexf04898eaa3

1032010132131 has 24 divisors (see below), whose sum is σ = 1626229775664. Its totient is φ = 625448381760.

The previous prime is 1032010132019. The next prime is 1032010132151. The reversal of 1032010132131 is 1312310102301.

1032010132131 is a `hidden beast` number, since 10 + 320 + 10 + 1 + 321 + 3 + 1 = 666.

It is not a de Polignac number, because 1032010132131 - 210 = 1032010131107 is a prime.

It is a super-2 number, since 2×10320101321312 (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1032010132151) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9158625 + ... + 9270621.

It is an arithmetic number, because the mean of its divisors is an integer number (67759573986).

Almost surely, 21032010132131 is an apocalyptic number.

1032010132131 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

1032010132131 is a deficient number, since it is larger than the sum of its proper divisors (594219643533).

1032010132131 is a wasteful number, since it uses less digits than its factorization.

1032010132131 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 205091 (or 205088 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 1032010132131 its reverse (1312310102301), we get a palindrome (2344320234432).

The spelling of 1032010132131 in words is "one trillion, thirty-two billion, ten million, one hundred thirty-two thousand, one hundred thirty-one".

Divisors: 1 3 9 11 33 99 93077 111997 279231 335991 837693 1007973 1023847 1231967 3071541 3695901 9214623 11087703 10424344769 31273034307 93819102921 114667792459 344003377377 1032010132131