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21132075700 = 22522325433613
BaseRepresentation
bin10011101011100100…
…011110001010110100
32000112201201200011101
4103223210132022310
5321234302410300
613412525415444
71345446452101
oct235344361264
960481650141
1021132075700
118a6456227a
12411910a584
131cba0a9308
1410467b3aa8
1583a33ab6a
hex4eb91e2b4

21132075700 has 72 divisors (see below), whose sum is σ = 47882435328. Its totient is φ = 8079899520.

The previous prime is 21132075689. The next prime is 21132075707. The reversal of 21132075700 is 757023112.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21132075707) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5847094 + ... + 5850706.

It is an arithmetic number, because the mean of its divisors is an integer number (665033824).

Almost surely, 221132075700 is an apocalyptic number.

21132075700 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 21132075700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23941217664).

21132075700 is an abundant number, since it is smaller than the sum of its proper divisors (26750359628).

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

21132075700 is a wasteful number, since it uses less digits than its factorization.

21132075700 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6193 (or 6186 counting only the distinct ones).

The product of its (nonzero) digits is 2940, while the sum is 28.

Adding to 21132075700 its reverse (757023112), we get a palindrome (21889098812).

The spelling of 21132075700 in words is "twenty-one billion, one hundred thirty-two million, seventy-five thousand, seven hundred".

Divisors: 1 2 4 5 10 20 23 25 46 50 92 100 115 230 460 575 1150 2300 2543 3613 5086 7226 10172 12715 14452 18065 25430 36130 50860 58489 63575 72260 83099 90325 116978 127150 166198 180650 233956 254300 292445 332396 361300 415495 584890 830990 1169780 1462225 1661980 2077475 2924450 4154950 5848900 8309900 9187859 18375718 36751436 45939295 91878590 183757180 211320757 229696475 422641514 459392950 845283028 918785900 1056603785 2113207570 4226415140 5283018925 10566037850 21132075700