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104109495201 = 32178913158363
BaseRepresentation
bin110000011110101101…
…0001101001110100001
3100221201120101022212200
41200331122031032201
53201204012321301
6115454403443413
710343634052035
oct1407532151641
9327646338780
10104109495201
1140175106728
1218216086569
139a8201a7ca
145078b581c5
152a94ddcc86
hex183d68d3a1

104109495201 has 48 divisors (see below), whose sum is σ = 162247250880. Its totient is φ = 64095482880.

The previous prime is 104109495157. The next prime is 104109495211. The reversal of 104109495201 is 102594901401.

It is a happy number.

104109495201 is a `hidden beast` number, since 1 + 0 + 41 + 0 + 94 + 9 + 520 + 1 = 666.

It is a de Polignac number, because none of the positive numbers 2k-104109495201 is a prime.

It is not an unprimeable number, because it can be changed into a prime (104109495211) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1754646 + ... + 1813008.

It is an arithmetic number, because the mean of its divisors is an integer number (3380151060).

Almost surely, 2104109495201 is an apocalyptic number.

It is an amenable number.

104109495201 is a deficient number, since it is larger than the sum of its proper divisors (58137755679).

104109495201 is a wasteful number, since it uses less digits than its factorization.

104109495201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 58606 (or 58603 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 36.

The spelling of 104109495201 in words is "one hundred four billion, one hundred nine million, four hundred ninety-five thousand, two hundred one".

Divisors: 1 3 9 17 51 89 131 153 267 393 801 1179 1513 2227 4539 6681 11659 13617 20043 34977 58363 104931 175089 198203 525267 594609 992171 1783827 2976513 5194307 7645553 8929539 15582921 22936659 46748763 68809977 88303219 129974401 264909657 389923203 680454217 794728971 1169769609 2041362651 6124087953 11567721689 34703165067 104109495201