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113121302331 = 3598310771963
BaseRepresentation
bin110100101011010001…
…1100001011100111011
3101210222121200120020010
41221112203201130323
53323133023133311
6123544530033003
711113152130152
oct1512643413473
9353877616203
10113121302331
1143a7a031814
1219b10118763
13a88a07306b
145691964599
152e2114cda6
hex1a568e173b

113121302331 has 32 divisors (see below), whose sum is σ = 156685777920. Its totient is φ = 72557269664.

The previous prime is 113121302299. The next prime is 113121302363. The reversal of 113121302331 is 133203121311.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (113121302299) and next prime (113121302363).

It is a cyclic number.

It is not a de Polignac number, because 113121302331 - 25 = 113121302299 is a prime.

It is a super-3 number, since 3×1131213023313 (a number of 34 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 113121302298 and 113121302307.

It is not an unprimeable number, because it can be changed into a prime (113121302831) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1535956 + ... + 1607918.

It is an arithmetic number, because the mean of its divisors is an integer number (4896430560).

Almost surely, 2113121302331 is an apocalyptic number.

113121302331 is a deficient number, since it is larger than the sum of its proper divisors (43564475589).

113121302331 is a wasteful number, since it uses less digits than its factorization.

113121302331 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72215.

The product of its (nonzero) digits is 324, while the sum is 21.

Adding to 113121302331 its reverse (133203121311), we get a palindrome (246324423642).

The spelling of 113121302331 in words is "one hundred thirteen billion, one hundred twenty-one million, three hundred two thousand, three hundred thirty-one".

Divisors: 1 3 59 83 107 177 249 321 4897 6313 8881 14691 18939 26643 71963 215889 523979 1571937 4245817 5972929 7700041 12737451 17918787 23100123 352402811 454302419 639103403 1057208433 1362907257 1917310209 37707100777 113121302331