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10131132132333 = 321213799274103
BaseRepresentation
bin1001001101101101011010…
…0010000010101111101101
31022212112020000110210001100
42103123112202002233231
52311442024311213313
633314102225433313
72063643620154102
oct223332642025755
938775200423040
1010131132132333
113256652a74a03
12117759379b839
13586491751434
142704c6adcaa9
15128802388173
hex936d6882bed

10131132132333 has 12 divisors (see below), whose sum is σ = 14633979665760. Its totient is φ = 6754031715336.

The previous prime is 10131132132311. The next prime is 10131132132347. The reversal of 10131132132333 is 33323123113101.

10131132132333 is a `hidden beast` number, since 1 + 0 + 1 + 3 + 1 + 1 + 321 + 3 + 2 + 333 = 666.

It is not a de Polignac number, because 10131132132333 - 29 = 10131132131821 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 10131132132297 and 10131132132306.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10131132132833) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3544641 + ... + 5729462.

It is an arithmetic number, because the mean of its divisors is an integer number (1219498305480).

Almost surely, 210131132132333 is an apocalyptic number.

It is an amenable number.

10131132132333 is a deficient number, since it is larger than the sum of its proper divisors (4502847533427).

10131132132333 is a wasteful number, since it uses less digits than its factorization.

10131132132333 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9395488 (or 9395485 counting only the distinct ones).

The product of its (nonzero) digits is 2916, while the sum is 27.

Adding to 10131132132333 its reverse (33323123113101), we get a palindrome (43454255245434).

The spelling of 10131132132333 in words is "ten trillion, one hundred thirty-one billion, one hundred thirty-two million, one hundred thirty-two thousand, three hundred thirty-three".

Divisors: 1 3 9 121379 364137 1092411 9274103 27822309 83466927 1125681348037 3377044044111 10131132132333