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101330232220231 = 71493131364922741
BaseRepresentation
bin10111000010100011001000…
…011111110001101001000111
3111021210002001002220220011021
4113002203020133301221013
5101240143303422021411
6555302244355452011
730225603421353460
oct2702431037615107
9437702032826137
10101330232220231
112a317a01461943
12b4465898b7007
1344705277611a1
141b045a35b3d67
15baac728dea71
hex5c28c87f1a47

101330232220231 has 32 divisors (see below), whose sum is σ = 116969383440000. Its totient is φ = 85985858949120.

The previous prime is 101330232220199. The next prime is 101330232220249. The reversal of 101330232220231 is 132022232033101.

It is a cyclic number.

It is not a de Polignac number, because 101330232220231 - 25 = 101330232220199 is a prime.

It is a super-2 number, since 2×1013302322202312 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 101330232220196 and 101330232220205.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101330232220031) 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 31 ways as a sum of consecutive naturals, for example, 4455827521 + ... + 4455850261.

It is an arithmetic number, because the mean of its divisors is an integer number (3655293232500).

Almost surely, 2101330232220231 is an apocalyptic number.

101330232220231 is a deficient number, since it is larger than the sum of its proper divisors (15639151219769).

101330232220231 is a wasteful number, since it uses less digits than its factorization.

101330232220231 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36859.

The product of its (nonzero) digits is 2592, while the sum is 25.

Adding to 101330232220231 its reverse (132022232033101), we get a palindrome (233352464253332).

The spelling of 101330232220231 in words is "one hundred one trillion, three hundred thirty billion, two hundred thirty-two million, two hundred twenty thousand, two hundred thirty-one".

Divisors: 1 7 149 313 1043 2191 13649 22741 46637 95543 159187 326459 2033701 3388409 4272137 7117933 14235907 23718863 29904959 49825531 310391909 636548413 1060572017 2172743363 4455838891 7424004119 46248394441 97152667517 323738761087 680068672619 14475747460033 101330232220231