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21122160300 = 223252101232367
BaseRepresentation
bin10011101010111110…
…101001011010101100
32000112001001220210100
4103222332221122230
5321224233112200
613411533111100
71345266254163
oct235276513254
960461056710
1021122160300
118a599aa72a
124115928490
131cb8017107
1410453523da
1583952cd00
hex4eafa96ac

21122160300 has 108 divisors (see below), whose sum is σ = 66862033056. Its totient is φ = 5576784000.

The previous prime is 21122160287. The next prime is 21122160317. The reversal of 21122160300 is 306122112.

It is a super-2 number, since 2×211221603002 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 25284 + ... + 207083.

Almost surely, 221122160300 is an apocalyptic number.

21122160300 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 21122160300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33431016528).

21122160300 is an abundant number, since it is smaller than the sum of its proper divisors (45739872756).

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

21122160300 is a wasteful number, since it uses less digits than its factorization.

21122160300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 232488 (or 232478 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 21122160300 its reverse (306122112), we get a palindrome (21428282412).

The spelling of 21122160300 in words is "twenty-one billion, one hundred twenty-two million, one hundred sixty thousand, three hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 30 36 45 50 60 75 90 100 101 150 180 202 225 300 303 404 450 505 606 900 909 1010 1212 1515 1818 2020 2525 3030 3636 4545 5050 6060 7575 9090 10100 15150 18180 22725 30300 45450 90900 232367 464734 697101 929468 1161835 1394202 2091303 2323670 2788404 3485505 4182606 4647340 5809175 6971010 8365212 10456515 11618350 13942020 17427525 20913030 23236700 23469067 34855050 41826060 46938134 52282575 69710100 70407201 93876268 104565150 117345335 140814402 209130300 211221603 234690670 281628804 352036005 422443206 469381340 586726675 704072010 844886412 1056108015 1173453350 1408144020 1760180025 2112216030 2346906700 3520360050 4224432060 5280540075 7040720100 10561080150 21122160300