Search a number
-
+
10202112100 = 2252517919699
BaseRepresentation
bin10011000000001011…
…11110000001100100
3222100000001222210201
421200011332001210
5131343220041400
64404202400244
7510550344025
oct114005760144
928300058721
1010202112100
11436590a904
121b88800084
13c67833c2b
146cad34c4c
153ea9d306a
hex26017e064

10202112100 has 36 divisors (see below), whose sum is σ = 22143982000. Its totient is φ = 4079849760.

The previous prime is 10202112091. The next prime is 10202112113. The reversal of 10202112100 is 121120201.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 508051 + ... + 527749.

Almost surely, 210202112100 is an apocalyptic number.

10202112100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10202112100 is an abundant number, since it is smaller than the sum of its proper divisors (11941869900).

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

10202112100 is a wasteful number, since it uses less digits than its factorization.

10202112100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24892 (or 24885 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 10202112100 its reverse (121120201), we get a palindrome (10323232301).

The spelling of 10202112100 in words is "ten billion, two hundred two million, one hundred twelve thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 5179 10358 19699 20716 25895 39398 51790 78796 98495 103580 129475 196990 258950 393980 492475 517900 984950 1969900 102021121 204042242 408084484 510105605 1020211210 2040422420 2550528025 5101056050 10202112100