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21101020020 = 2234529449149
BaseRepresentation
bin10011101001101110…
…000000001101110100
32000110120021212210000
4103221232000031310
5321203330120040
613405500031300
71344621465543
oct235156001564
960416255700
1021101020020
118a48a80723
12410a832530
131cb3824982
14104260c15a
15837754130
hex4e9b80374

21101020020 has 120 divisors (see below), whose sum is σ = 68477409000. Its totient is φ = 5432894208.

The previous prime is 21101019959. The next prime is 21101020051. The reversal of 21101020020 is 2002010112.

It can be written as a sum of positive squares in 4 ways, for example, as 4019052816 + 17081967204 = 63396^2 + 130698^2 .

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 = 21101019984 and 21101020011.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 177595 + ... + 271554.

It is an arithmetic number, because the mean of its divisors is an integer number (570645075).

Almost surely, 221101020020 is an apocalyptic number.

21101020020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21101020020 is an abundant number, since it is smaller than the sum of its proper divisors (47376388980).

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

21101020020 is a wasteful number, since it uses less digits than its factorization.

21101020020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 449199 (or 449188 counting only the distinct ones).

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

Adding to 21101020020 its reverse (2002010112), we get a palindrome (23103030132).

The spelling of 21101020020 in words is "twenty-one billion, one hundred one million, twenty thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 29 30 36 45 54 58 60 81 87 90 108 116 135 145 162 174 180 261 270 290 324 348 405 435 522 540 580 783 810 870 1044 1305 1566 1620 1740 2349 2610 3132 3915 4698 5220 7830 9396 11745 15660 23490 46980 449149 898298 1347447 1796596 2245745 2694894 4042341 4491490 5389788 6737235 8084682 8982980 12127023 13025321 13474470 16169364 20211705 24254046 26050642 26948940 36381069 39075963 40423410 48508092 52101284 60635115 65126605 72762138 78151926 80846820 117227889 121270230 130253210 145524276 156303852 181905345 195379815 234455778 242540460 260506420 351683667 363810690 390759630 468911556 586139445 703367334 727621380 781519260 1055051001 1172278890 1406734668 1758418335 2110102002 2344557780 3516836670 4220204004 5275255005 7033673340 10550510010 21101020020