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21322742900 = 2252415200669
BaseRepresentation
bin10011110110111011…
…110011110001110100
32001001000111120101112
4103312323303301310
5322132110233100
613443500214152
71353253216124
oct236673636164
961030446345
1021322742900
119052150378
124170b3a358
13201a746644
141063c46c84
1584be4eb35
hex4f6ef3c74

21322742900 has 36 divisors (see below), whose sum is σ = 47398906380. Its totient is φ = 8321068800.

The previous prime is 21322742879. The next prime is 21322742921. The reversal of 21322742900 is 924722312.

It is an interprime number because it is at equal distance from previous prime (21322742879) and next prime (21322742921).

It can be written as a sum of positive squares in 6 ways, for example, as 8838256144 + 12484486756 = 94012^2 + 111734^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2596235 + ... + 2604434.

Almost surely, 221322742900 is an apocalyptic number.

21322742900 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21322742900 is an abundant number, since it is smaller than the sum of its proper divisors (26076163480).

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

21322742900 is a wasteful number, since it uses less digits than its factorization.

21322742900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5200724 (or 5200717 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 32.

The spelling of 21322742900 in words is "twenty-one billion, three hundred twenty-two million, seven hundred forty-two thousand, nine hundred".

Divisors: 1 2 4 5 10 20 25 41 50 82 100 164 205 410 820 1025 2050 4100 5200669 10401338 20802676 26003345 52006690 104013380 130016725 213227429 260033450 426454858 520066900 852909716 1066137145 2132274290 4264548580 5330685725 10661371450 21322742900