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21122146760 = 23511133692683
BaseRepresentation
bin10011101010111110…
…100110000111001000
32000112001001020012212
4103222332212013020
5321224232144020
613411532524252
71345266166541
oct235276460710
960461036185
1021122146760
118a599a0540
124115920688
131cb8010bc0
14104534b4c8
15839528cc5
hex4eafa61c8

21122146760 has 64 divisors (see below), whose sum is σ = 55833382080. Its totient is φ = 7089949440.

The previous prime is 21122146739. The next prime is 21122146783. The reversal of 21122146760 is 6764122112.

It is a super-2 number, since 2×211221467602 (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1840622 + ... + 1852061.

It is an arithmetic number, because the mean of its divisors is an integer number (872396595).

Almost surely, 221122146760 is an apocalyptic number.

21122146760 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21122146760 is an abundant number, since it is smaller than the sum of its proper divisors (34711235320).

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

21122146760 is a wasteful number, since it uses less digits than its factorization.

21122146760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3692718 (or 3692714 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 32.

Adding to 21122146760 its reverse (6764122112), we get a palindrome (27886268872).

The spelling of 21122146760 in words is "twenty-one billion, one hundred twenty-two million, one hundred forty-six thousand, seven hundred sixty".

Divisors: 1 2 4 5 8 10 11 13 20 22 26 40 44 52 55 65 88 104 110 130 143 220 260 286 440 520 572 715 1144 1430 2860 5720 3692683 7385366 14770732 18463415 29541464 36926830 40619513 48004879 73853660 81239026 96009758 147707320 162478052 192019516 203097565 240024395 324956104 384039032 406195130 480048790 528053669 812390260 960097580 1056107338 1624780520 1920195160 2112214676 2640268345 4224429352 5280536690 10561073380 21122146760