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21100021020 = 22335133005701
BaseRepresentation
bin10011101001101010…
…001100010100011100
32000110111102010102000
4103221222030110130
5321203101133040
613405422402300
71344610135161
oct235152142434
960414363360
1021100021020
118a48459101
12410a430390
131cb3565050
14104242c068
15837608130
hex4e9a8c51c

21100021020 has 96 divisors (see below), whose sum is σ = 70694111040. Its totient is φ = 5193849600.

The previous prime is 21100021001. The next prime is 21100021021. The reversal of 21100021020 is 2012000112.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 21100020993 and 21100021011.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21100021021) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1495831 + ... + 1509870.

It is an arithmetic number, because the mean of its divisors is an integer number (736396990).

Almost surely, 221100021020 is an apocalyptic number.

21100021020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21100021020 is an abundant number, since it is smaller than the sum of its proper divisors (49594090020).

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

21100021020 is a wasteful number, since it uses less digits than its factorization.

21100021020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3005732 (or 3005724 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 21100021020 its reverse (2012000112), we get a palindrome (23112021132).

The spelling of 21100021020 in words is "twenty-one billion, one hundred million, twenty-one thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 13 15 18 20 26 27 30 36 39 45 52 54 60 65 78 90 108 117 130 135 156 180 195 234 260 270 351 390 468 540 585 702 780 1170 1404 1755 2340 3510 7020 3005701 6011402 9017103 12022804 15028505 18034206 27051309 30057010 36068412 39074113 45085515 54102618 60114020 78148226 81153927 90171030 108205236 117222339 135256545 156296452 162307854 180342060 195370565 234444678 270513090 324615708 351667017 390741130 405769635 468889356 541026180 586111695 703334034 781482260 811539270 1055001051 1172223390 1406668068 1623078540 1758335085 2110002102 2344446780 3516670170 4220004204 5275005255 7033340340 10550010510 21100021020