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100760121 = 32721120771
BaseRepresentation
bin1100000000101…
…11101000111001
321000121010220100
412000113220321
5201243310441
613555350013
72332306200
oct600275071
9230533810
10100760121
1151970630
12298b2309
1317b4b797
14d54c237
158ca4cb6
hex6017a39

100760121 has 36 divisors (see below), whose sum is σ = 184704624. Its totient is φ = 52340400.

The previous prime is 100760117. The next prime is 100760129. The reversal of 100760121 is 121067001.

It is not a de Polignac number, because 100760121 - 22 = 100760117 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 100760094 and 100760103.

It is not an unprimeable number, because it can be changed into a prime (100760129) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 5535 + ... + 15236.

It is an arithmetic number, because the mean of its divisors is an integer number (5130684).

Almost surely, 2100760121 is an apocalyptic number.

100760121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

100760121 is a deficient number, since it is larger than the sum of its proper divisors (83944503).

100760121 is a wasteful number, since it uses less digits than its factorization.

100760121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20802 (or 20792 counting only the distinct ones).

The product of its (nonzero) digits is 84, while the sum is 18.

The square root of 100760121 is about 10037.9341002021. The cubic root of 100760121 is about 465.3319724461.

The spelling of 100760121 in words is "one hundred million, seven hundred sixty thousand, one hundred twenty-one".

Divisors: 1 3 7 9 11 21 33 49 63 77 99 147 231 441 539 693 1617 4851 20771 62313 145397 186939 228481 436191 685443 1017779 1308573 1599367 2056329 3053337 4798101 9160011 11195569 14394303 33586707 100760121