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2151412100 = 225225938297
BaseRepresentation
bin1000000000111011…
…1111000110000100
312112221021001120122
42000032333012010
513401230141400
6553252121112
7104212462325
oct20016770604
95487231518
102151412100
11a04463832
12500606198
1328394bc16
14165a3044c
15c8d20685
hex803bf184

2151412100 has 36 divisors (see below), whose sum is σ = 4670927604. Its totient is φ = 860129280.

The previous prime is 2151412097. The next prime is 2151412117. The reversal of 2151412100 is 12141512.

It can be written as a sum of positive squares in 6 ways, for example, as 141324544 + 2010087556 = 11888^2 + 44834^2 .

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, 255152 + ... + 263448.

It is an arithmetic number, because the mean of its divisors is an integer number (129747989).

Almost surely, 22151412100 is an apocalyptic number.

2151412100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2151412100 is an abundant number, since it is smaller than the sum of its proper divisors (2519515504).

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

2151412100 is a wasteful number, since it uses less digits than its factorization.

2151412100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10904 (or 10897 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 17.

The square root of 2151412100 is about 46383.3170439545. The cubic root of 2151412100 is about 1290.9453839592.

Adding to 2151412100 its reverse (12141512), we get a palindrome (2163553612).

It can be divided in two parts, 2151412 and 100, that added together give a palindrome (2151512).

The spelling of 2151412100 in words is "two billion, one hundred fifty-one million, four hundred twelve thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 2593 5186 8297 10372 12965 16594 25930 33188 41485 51860 64825 82970 129650 165940 207425 259300 414850 829700 21514121 43028242 86056484 107570605 215141210 430282420 537853025 1075706050 2151412100