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10116066100 = 2252731346171
BaseRepresentation
bin10010110101111011…
…01110101100110100
3222010000011101212211
421122331232230310
5131204203103400
64351450223204
7505454100040
oct113275565464
928100141784
1010116066100
11432128a208
121b63a24b04
13c52a6793a
146bd737020
153e3187dba
hex25af6eb34

10116066100 has 72 divisors (see below), whose sum is σ = 25168541888. Its totient is φ = 3457209600.

The previous prime is 10116066091. The next prime is 10116066119. The reversal of 10116066100 is 166061101.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 196015 + ... + 242185.

Almost surely, 210116066100 is an apocalyptic number.

10116066100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10116066100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12584270944).

10116066100 is an abundant number, since it is smaller than the sum of its proper divisors (15052475788).

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

10116066100 is a wasteful number, since it uses less digits than its factorization.

10116066100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46505 (or 46498 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 22.

The spelling of 10116066100 in words is "ten billion, one hundred sixteen million, sixty-six thousand, one hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 50 70 100 140 175 313 350 626 700 1252 1565 2191 3130 4382 6260 7825 8764 10955 15650 21910 31300 43820 46171 54775 92342 109550 184684 219100 230855 323197 461710 646394 923420 1154275 1292788 1615985 2308550 3231970 4617100 6463940 8079925 14451523 16159850 28903046 32319700 57806092 72257615 101160661 144515230 202321322 289030460 361288075 404642644 505803305 722576150 1011606610 1445152300 2023213220 2529016525 5058033050 10116066100