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130010100100122 = 231117616091880789
BaseRepresentation
bin11101100011111001010101…
…110101010110110000011010
3122001022211210102010112110010
4131203321111311112300122
5114020041141111200442
61140301452050102350
736245630323143504
oct3543712565266032
9561284712115403
10130010100100122
1138474a79171a10
12126b89b357a9b6
135770b90c1c8a8
14241674573ad74
151006cdb12ab9c
hex763e55d56c1a

130010100100122 has 64 divisors (see below), whose sum is σ = 300349223164800. Its totient is φ = 37078907873280.

The previous prime is 130010100100103. The next prime is 130010100100123. The reversal of 130010100100122 is 221001001010031.

It is a super-2 number, since 2×1300101001001222 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 130010100100098 and 130010100100107.

It is not an unprimeable number, because it can be changed into a prime (130010100100123) 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, 68184904 + ... + 70065692.

It is an arithmetic number, because the mean of its divisors is an integer number (4692956611950).

Almost surely, 2130010100100122 is an apocalyptic number.

130010100100122 is an abundant number, since it is smaller than the sum of its proper divisors (170339123064678).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

130010100100122 is a wasteful number, since it uses less digits than its factorization.

130010100100122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1942431.

The product of its (nonzero) digits is 12, while the sum is 12.

Adding to 130010100100122 its reverse (221001001010031), we get a palindrome (351011101110153).

Subtracting 130010100100122 from its reverse (221001001010031), we obtain a palindrome (90990900909909).

The spelling of 130010100100122 in words is "one hundred thirty trillion, ten billion, one hundred million, one hundred thousand, one hundred twenty-two".

Divisors: 1 2 3 6 11 17 22 33 34 51 66 102 187 374 561 1122 61609 123218 184827 369654 677699 1047353 1355398 1880789 2033097 2094706 3142059 3761578 4066194 5642367 6284118 11284734 11520883 20688679 23041766 31973413 34562649 41377358 62066037 63946826 69125298 95920239 124132074 191840478 351707543 703415086 1055122629 2110245258 115873529501 231747059002 347620588503 695241177006 1274608824511 1969850001517 2549217649022 3823826473533 3939700003034 5909550004551 7647652947066 11819100009102 21668350016687 43336700033374 65005050050061 130010100100122