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104199194401 = 292111312
BaseRepresentation
bin110000100001011000…
…0011000011100100001
3100221221211011112001021
41201002300120130201
53201344443210101
6115511330205441
710346103352531
oct1410260303441
9327854145037
10104199194401
1140210801aa5
1218240123881
139a97795863
145086a274c1
152a9cc0a5a1
hex1842c18721

104199194401 has 9 divisors (see below), whose sum is σ = 107925865203. Its totient is φ = 100597080360.

The previous prime is 104199194389. The next prime is 104199194453. The reversal of 104199194401 is 104491991401.

The square root of 104199194401 is 322799.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 54639530001 + 49559664400 = 233751^2 + 222620^2 .

It is not a de Polignac number, because 104199194401 - 211 = 104199192353 is a prime.

It is a super-2 number, since 2×1041991944012 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (104199194471) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 9355606 + ... + 9366736.

Almost surely, 2104199194401 is an apocalyptic number.

104199194401 is the 322799-th square number.

104199194401 is the 161400-th centered octagonal number.

It is an amenable number.

104199194401 is a deficient number, since it is larger than the sum of its proper divisors (3726670802).

104199194401 is an frugal number, since it uses more digits than its factorization.

104199194401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22320 (or 11160 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 43.

The spelling of 104199194401 in words is "one hundred four billion, one hundred ninety-nine million, one hundred ninety-four thousand, four hundred one".

Divisors: 1 29 841 11131 322799 9361171 123899161 3593075669 104199194401