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2331136441053 = 3271071783193951
BaseRepresentation
bin100001111011000010100…
…011110011101011011101
322020212001220110222010200
4201323002203303223131
5301143131412103203
64542524224054113
7330263506545450
oct41730243635335
98225056428120
102331136441053
118196a18260a2
12317958a64339
1313ba960276a4
1480b82d43497
1540988e489a3
hex21ec28f3add

2331136441053 has 48 divisors (see below), whose sum is σ = 3886388453376. Its totient is φ = 1318881722400.

The previous prime is 2331136441043. The next prime is 2331136441069. The reversal of 2331136441053 is 3501446311332.

2331136441053 is a `hidden beast` number, since 2 + 3 + 3 + 1 + 1 + 3 + 644 + 1 + 0 + 5 + 3 = 666.

It is not a de Polignac number, because 2331136441053 - 210 = 2331136440029 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 2331136440999 and 2331136441017.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2331136441043) 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 47 ways as a sum of consecutive naturals, for example, 11922228 + ... + 12116178.

It is an arithmetic number, because the mean of its divisors is an integer number (80966426112).

Almost surely, 22331136441053 is an apocalyptic number.

It is an amenable number.

2331136441053 is a deficient number, since it is larger than the sum of its proper divisors (1555252012323).

2331136441053 is a wasteful number, since it uses less digits than its factorization.

2331136441053 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 195854 (or 195851 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 36.

The spelling of 2331136441053 in words is "two trillion, three hundred thirty-one billion, one hundred thirty-six million, four hundred forty-one thousand, fifty-three".

Divisors: 1 3 7 9 21 63 107 321 749 963 1783 2247 5349 6741 12481 16047 37443 112329 190781 193951 572343 581853 1335467 1357657 1717029 1745559 4006401 4072971 12019203 12218913 20752757 62258271 145269299 186774813 345814633 435807897 1037443899 1307423691 2420702431 3112331697 7262107293 21786321879 37002165731 111006497193 259015160117 333019491579 777045480351 2331136441053