Search a number
-
+
10101925100 = 2252208348497
BaseRepresentation
bin10010110100001111…
…10010010011101100
3222002000112222002002
421122013302103230
5131142043100400
64350223151432
7505222642451
oct113207622354
928060488062
1010101925100
114314300933
121b5b145578
13c4cb56297
146bb8d5828
153e1ce2ed5
hex25a1f24ec

10101925100 has 36 divisors (see below), whose sum is σ = 21932153544. Its totient is φ = 4038746880.

The previous prime is 10101925061. The next prime is 10101925109. The reversal of 10101925100 is 152910101.

10101925100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (10101925109) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 184052 + ... + 232548.

Almost surely, 210101925100 is an apocalyptic number.

10101925100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10101925100 is an abundant number, since it is smaller than the sum of its proper divisors (11830228444).

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

10101925100 is a wasteful number, since it uses less digits than its factorization.

10101925100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50594 (or 50587 counting only the distinct ones).

The product of its (nonzero) digits is 90, while the sum is 20.

The spelling of 10101925100 in words is "ten billion, one hundred one million, nine hundred twenty-five thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 2083 4166 8332 10415 20830 41660 48497 52075 96994 104150 193988 208300 242485 484970 969940 1212425 2424850 4849700 101019251 202038502 404077004 505096255 1010192510 2020385020 2525481275 5050962550 10101925100