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2150428100 = 225222379613
BaseRepresentation
bin1000000000101100…
…1110110111000100
312112212102001210012
42000023032313010
513401002144400
6553215045352
7104201223452
oct20013166704
95485361705
102150428100
11a03951507
12500210858
13283696082
141658559d2
15c8bc8d35
hex802cedc4

2150428100 has 36 divisors (see below), whose sum is σ = 4669000644. Its totient is φ = 859697280.

The previous prime is 2150428099. The next prime is 2150428103. The reversal of 2150428100 is 18240512.

It can be written as a sum of positive squares in 6 ways, for example, as 293162884 + 1857265216 = 17122^2 + 43096^2 .

It is a super-2 number, since 2×21504281002 = 9248682026539220000, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2150428103) by changing a digit.

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, 218894 + ... + 228506.

Almost surely, 22150428100 is an apocalyptic number.

2150428100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2150428100 is an abundant number, since it is smaller than the sum of its proper divisors (2518572544).

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

2150428100 is a wasteful number, since it uses less digits than its factorization.

2150428100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11864 (or 11857 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 23.

The square root of 2150428100 is about 46372.7085687261. The cubic root of 2150428100 is about 1290.7485389857.

Adding to 2150428100 its reverse (18240512), we get a palindrome (2168668612).

The spelling of 2150428100 in words is "two billion, one hundred fifty million, four hundred twenty-eight thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 2237 4474 8948 9613 11185 19226 22370 38452 44740 48065 55925 96130 111850 192260 223700 240325 480650 961300 21504281 43008562 86017124 107521405 215042810 430085620 537607025 1075214050 2150428100