Search a number
-
+
2100100096 = 21019107941
BaseRepresentation
bin111110100101100…
…1111110000000000
312102100201010202001
41331023033300000
513300111200341
6544220233344
7103020361543
oct17513176000
95370633661
102100100096
119884a7316
124a739b854
132761245a3
1415ccb485a
15c4586d31
hex7d2cfc00

2100100096 has 44 divisors (see below), whose sum is σ = 4419145480. Its totient is φ = 994775040.

The previous prime is 2100100081. The next prime is 2100100097. The reversal of 2100100096 is 6900010012.

It is a Harshad number since it is a multiple of its sum of digits (19).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2100100097) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 34515 + ... + 73426.

Almost surely, 22100100096 is an apocalyptic number.

It is an amenable number.

2100100096 is an abundant number, since it is smaller than the sum of its proper divisors (2319045384).

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

2100100096 is a wasteful number, since it uses less digits than its factorization.

2100100096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 107980 (or 107962 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 19.

The square root of 2100100096 is about 45826.8490734417. The cubic root of 2100100096 is about 1280.5995108312.

The spelling of 2100100096 in words is "two billion, one hundred million, one hundred thousand, ninety-six".

Divisors: 1 2 4 8 16 19 32 38 64 76 128 152 256 304 512 608 1024 1216 2432 4864 9728 19456 107941 215882 431764 863528 1727056 2050879 3454112 4101758 6908224 8203516 13816448 16407032 27632896 32814064 55265792 65628128 110531584 131256256 262512512 525025024 1050050048 2100100096