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21170513120 = 255431433709
BaseRepresentation
bin10011101101110111…
…000110010011100000
32000122102001111101112
4103231313012103200
5321324122404440
613420421322452
71346424251411
oct235567062340
960572044345
1021170513120
118a84225939
124129b66428
131cc5046853
14104b93b808
1583d8ce965
hex4eddc64e0

21170513120 has 96 divisors (see below), whose sum is σ = 50318029440. Its totient is φ = 8417157120.

The previous prime is 21170513113. The next prime is 21170513129. The reversal of 21170513120 is 2131507112.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21170513129) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 29859326 + ... + 29860034.

It is an arithmetic number, because the mean of its divisors is an integer number (524146140).

Almost surely, 221170513120 is an apocalyptic number.

21170513120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21170513120 is an abundant number, since it is smaller than the sum of its proper divisors (29147516320).

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

21170513120 is a wasteful number, since it uses less digits than its factorization.

21170513120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1588 (or 1580 counting only the distinct ones).

The product of its (nonzero) digits is 420, while the sum is 23.

The spelling of 21170513120 in words is "twenty-one billion, one hundred seventy million, five hundred thirteen thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 431 433 709 862 866 1418 1724 1732 2155 2165 2836 3448 3464 3545 4310 4330 5672 6896 6928 7090 8620 8660 11344 13792 13856 14180 17240 17320 22688 28360 34480 34640 56720 68960 69280 113440 186623 305579 306997 373246 611158 613994 746492 933115 1222316 1227988 1492984 1527895 1534985 1866230 2444632 2455976 2985968 3055790 3069970 3732460 4889264 4911952 5971936 6111580 6139940 7464920 9778528 9823904 12223160 12279880 14929840 24446320 24559760 29859680 48892640 49119520 132315707 264631414 529262828 661578535 1058525656 1323157070 2117051312 2646314140 4234102624 5292628280 10585256560 21170513120