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21142083060 = 22325716779431
BaseRepresentation
bin10011101100001010…
…101001010111110100
32000120102120002200100
4103230022221113310
5321244333124220
613413524114100
71345630512060
oct235412512764
960512502610
1021142083060
118a6a177a1a
124120535930
131cbc1a1327
141047c5aaa0
1583b165d90
hex4ec2a95f4

21142083060 has 72 divisors (see below), whose sum is σ = 73292558976. Its totient is φ = 4832475840.

The previous prime is 21142083041. The next prime is 21142083071. The reversal of 21142083060 is 6038024112.

It is a super-2 number, since 2×211420830602 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8388456 + ... + 8390975.

It is an arithmetic number, because the mean of its divisors is an integer number (1017952208).

Almost surely, 221142083060 is an apocalyptic number.

21142083060 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21142083060 is an abundant number, since it is smaller than the sum of its proper divisors (52150475916).

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

21142083060 is a wasteful number, since it uses less digits than its factorization.

21142083060 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16779453 (or 16779448 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The spelling of 21142083060 in words is "twenty-one billion, one hundred forty-two million, eighty-three thousand, sixty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 28 30 35 36 42 45 60 63 70 84 90 105 126 140 180 210 252 315 420 630 1260 16779431 33558862 50338293 67117724 83897155 100676586 117456017 151014879 167794310 201353172 234912034 251691465 302029758 335588620 352368051 469824068 503382930 587280085 604059516 704736102 755074395 1006765860 1057104153 1174560170 1409472204 1510148790 1761840255 2114208306 2349120340 3020297580 3523680510 4228416612 5285520765 7047361020 10571041530 21142083060