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21119123200 = 285271943577
BaseRepresentation
bin10011101010110011…
…000011111100000000
32000111211100121200011
4103222303003330000
5321222443420300
613411344034304
71345231404520
oct235263037400
960454317604
1021119123200
118a5821592a
124114902994
131cb74c2906
141044ba1680
1583912ceba
hex4eacc3f00

21119123200 has 432 divisors, whose sum is σ = 64458929920. Its totient is φ = 6688604160.

The previous prime is 21119123197. The next prime is 21119123213. The reversal of 21119123200 is 232191112.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 36601312 + ... + 36601888.

Almost surely, 221119123200 is an apocalyptic number.

21119123200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21119123200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32229464960).

21119123200 is an abundant number, since it is smaller than the sum of its proper divisors (43339806720).

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

21119123200 is a wasteful number, since it uses less digits than its factorization.

21119123200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 672 (or 653 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 22.

It can be divided in two parts, 2111912 and 3200, that added together give a palindrome (2115112).

The spelling of 21119123200 in words is "twenty-one billion, one hundred nineteen million, one hundred twenty-three thousand, two hundred".