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100272041065 = 572409273637
BaseRepresentation
bin101110101100010101…
…1011110110001101001
3100120211010112110102201
41131120223132301221
53120324120303230
6114021521500201
710146556200100
oct1353053366151
9316733473381
10100272041065
1139585a53629
1217524aa1661
1395bcc9b5a1
144bd3237037
15291d0745ca
hex1758adec69

100272041065 has 12 divisors (see below), whose sum is σ = 139971584196. Its totient is φ = 68757970848.

The previous prime is 100272041041. The next prime is 100272041117. The reversal of 100272041065 is 560140272001.

It can be written as a sum of positive squares in 2 ways, for example, as 13988265984 + 86283775081 = 118272^2 + 293741^2 .

It is not a de Polignac number, because 100272041065 - 221 = 100269943913 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 204636574 + ... + 204637063.

It is an arithmetic number, because the mean of its divisors is an integer number (11664298683).

Almost surely, 2100272041065 is an apocalyptic number.

It is an amenable number.

100272041065 is a deficient number, since it is larger than the sum of its proper divisors (39699543131).

100272041065 is an equidigital number, since it uses as much as digits as its factorization.

100272041065 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 409273656 (or 409273649 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 28.

The spelling of 100272041065 in words is "one hundred billion, two hundred seventy-two million, forty-one thousand, sixty-five".

Divisors: 1 5 7 35 49 245 409273637 2046368185 2864915459 14324577295 20054408213 100272041065