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2100093096 = 233177172497
BaseRepresentation
bin111110100101100…
…1110000010101000
312102100200210010210
41331023032002220
513300110434341
6544220141120
7103020332253
oct17513160250
95370623123
102100093096
119884a2032
124a73977a0
1327612134a
1415ccb209a
15c4584c16
hex7d2ce0a8

2100093096 has 64 divisors (see below), whose sum is σ = 5637444480. Its totient is φ = 649564160.

The previous prime is 2100093089. The next prime is 2100093119. The reversal of 2100093096 is 6903900012.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7281 + ... + 65216.

It is an arithmetic number, because the mean of its divisors is an integer number (88085070).

Almost surely, 22100093096 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2100093096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2818722240).

2100093096 is an abundant number, since it is smaller than the sum of its proper divisors (3537351384).

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

2100093096 is a wasteful number, since it uses less digits than its factorization.

2100093096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72594 (or 72590 counting only the distinct ones).

The product of its (nonzero) digits is 2916, while the sum is 30.

The square root of 2100093096 is about 45826.7726989366. The cubic root of 2100093096 is about 1280.5980880091.

The spelling of 2100093096 in words is "two billion, one hundred million, ninety-three thousand, ninety-six".

Divisors: 1 2 3 4 6 8 12 17 24 34 51 68 71 102 136 142 204 213 284 408 426 568 852 1207 1704 2414 3621 4828 7242 9656 14484 28968 72497 144994 217491 289988 434982 579976 869964 1232449 1739928 2464898 3697347 4929796 5147287 7394694 9859592 10294574 14789388 15441861 20589148 29578776 30883722 41178296 61767444 87503879 123534888 175007758 262511637 350015516 525023274 700031032 1050046548 2100093096