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21107312400 = 2435217589427
BaseRepresentation
bin10011101010000110…
…000000011100010000
32000111000010120022010
4103222012000130100
5321211432444100
613410242542520
71345026123636
oct235206003420
960430116263
1021107312400
118a51589239
124110967a40
131cb4c18a85
1410433a9356
15838098750
hex4ea180710

21107312400 has 60 divisors (see below), whose sum is σ = 67613761232. Its totient is φ = 5628616320.

The previous prime is 21107312383. The next prime is 21107312407. The reversal of 21107312400 is 421370112.

It is a tau number, because it is divible by the number of its divisors (60).

It is not an unprimeable number, because it can be changed into a prime (21107312407) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 8793514 + ... + 8795913.

Almost surely, 221107312400 is an apocalyptic number.

21107312400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21107312400 is an abundant number, since it is smaller than the sum of its proper divisors (46506448832).

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

21107312400 is a wasteful number, since it uses less digits than its factorization.

21107312400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17589448 (or 17589437 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 21.

Adding to 21107312400 its reverse (421370112), we get a palindrome (21528682512).

The spelling of 21107312400 in words is "twenty-one billion, one hundred seven million, three hundred twelve thousand, four hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 48 50 60 75 80 100 120 150 200 240 300 400 600 1200 17589427 35178854 52768281 70357708 87947135 105536562 140715416 175894270 211073124 263841405 281430832 351788540 422146248 439735675 527682810 703577080 844292496 879471350 1055365620 1319207025 1407154160 1758942700 2110731240 2638414050 3517885400 4221462480 5276828100 7035770800 10553656200 21107312400