Search a number
-
+
10000929100 = 22524110124151
BaseRepresentation
bin10010101000001101…
…00001000101001100
3221210222111211121111
421110012201011030
5130440214212400
64332214341404
7502555331461
oct112406410514
927728454544
1010000929100
11427229a068
121b3135a864
13c34c54336
146ac325668
153d7ee33ba
hex2541a114c

10000929100 has 72 divisors (see below), whose sum is σ = 22452375456. Its totient is φ = 3864000000.

The previous prime is 10000929079. The next prime is 10000929131. The reversal of 10000929100 is 192900001.

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, 402025 + ... + 426175.

It is an arithmetic number, because the mean of its divisors is an integer number (311838548).

Almost surely, 210000929100 is an apocalyptic number.

10000929100 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 10000929100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11226187728).

10000929100 is an abundant number, since it is smaller than the sum of its proper divisors (12451446356).

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

10000929100 is a wasteful number, since it uses less digits than its factorization.

10000929100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24307 (or 24300 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 22.

The spelling of 10000929100 in words is "ten billion, nine hundred twenty-nine thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 41 50 82 100 101 164 202 205 404 410 505 820 1010 1025 2020 2050 2525 4100 4141 5050 8282 10100 16564 20705 24151 41410 48302 82820 96604 103525 120755 207050 241510 414100 483020 603775 990191 1207550 1980382 2415100 2439251 3960764 4878502 4950955 9757004 9901910 12196255 19803820 24392510 24754775 48785020 49509550 60981275 99019100 100009291 121962550 200018582 243925100 400037164 500046455 1000092910 2000185820 2500232275 5000464550 10000929100