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131020032123333 = 3289250365349811
BaseRepresentation
bin11101110010100101111010…
…011110010010000111000101
3122011220101121022102000102200
4131302211322132102013011
5114133113011210421313
61142353434414225113
736411612351535443
oct3562457236220705
9564811538360380
10131020032123333
11388243134a2951
12128406877b5199
13581519ca94c32
14244d590c8db93
1510231e97c3b73
hex77297a7921c5

131020032123333 has 24 divisors (see below), whose sum is σ = 191454037220160. Its totient is φ = 86330758599360.

The previous prime is 131020032123311. The next prime is 131020032123373. The reversal of 131020032123333 is 333321230020131.

131020032123333 is a `hidden beast` number, since 1 + 3 + 1 + 0 + 2 + 0 + 0 + 321 + 2 + 3 + 333 = 666.

It is not a de Polignac number, because 131020032123333 - 26 = 131020032123269 is a prime.

It is a super-2 number, since 2×1310200321233332 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 131020032123297 and 131020032123306.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131020032123373) 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, 30670003 + ... + 34679808.

It is an arithmetic number, because the mean of its divisors is an integer number (7977251550840).

Almost surely, 2131020032123333 is an apocalyptic number.

It is an amenable number.

131020032123333 is a deficient number, since it is larger than the sum of its proper divisors (60434005096827).

131020032123333 is a wasteful number, since it uses less digits than its factorization.

131020032123333 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65352409 (or 65352406 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 27.

Adding to 131020032123333 its reverse (333321230020131), we get a palindrome (464341262143464).

The spelling of 131020032123333 in words is "one hundred thirty-one trillion, twenty billion, thirty-two million, one hundred twenty-three thousand, three hundred thirty-three".

Divisors: 1 3 9 89 267 801 2503 7509 22527 222767 668301 2004903 65349811 196049433 588148299 5816133179 17448399537 52345198611 163570576933 490711730799 1472135192397 14557781347037 43673344041111 131020032123333