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21110022120 = 233511101158341
BaseRepresentation
bin10011101010010000…
…010101111111101000
32000111012020020100010
4103222100111333220
5321213131201440
613410421011520
71345061140665
oct235220257750
960435206303
1021110022120
118a5306a080
124111853ba0
131cb5657265
1410438b2a6c
15838431580
hex4ea415fe8

21110022120 has 128 divisors (see below), whose sum is σ = 69771818880. Its totient is φ = 5066880000.

The previous prime is 21110022107. The next prime is 21110022139. The reversal of 21110022120 is 2122001112.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 21110022096 and 21110022105.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 54150 + ... + 212490.

It is an arithmetic number, because the mean of its divisors is an integer number (545092335).

Almost surely, 221110022120 is an apocalyptic number.

21110022120 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 21110022120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34885909440).

21110022120 is an abundant number, since it is smaller than the sum of its proper divisors (48661796760).

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

21110022120 is a wasteful number, since it uses less digits than its factorization.

21110022120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 158467 (or 158463 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 21110022120 its reverse (2122001112), we get a palindrome (23232023232).

The spelling of 21110022120 in words is "twenty-one billion, one hundred ten million, twenty-two thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 24 30 33 40 44 55 60 66 88 101 110 120 132 165 202 220 264 303 330 404 440 505 606 660 808 1010 1111 1212 1320 1515 2020 2222 2424 3030 3333 4040 4444 5555 6060 6666 8888 11110 12120 13332 16665 22220 26664 33330 44440 66660 133320 158341 316682 475023 633364 791705 950046 1266728 1583410 1741751 1900092 2375115 3166820 3483502 3800184 4750230 5225253 6333640 6967004 8708755 9500460 10450506 13934008 15992441 17417510 19000920 20901012 26126265 31984882 34835020 41802024 47977323 52252530 63969764 69670040 79962205 95954646 104505060 127939528 159924410 175916851 191909292 209010120 239886615 319848820 351833702 383818584 479773230 527750553 639697640 703667404 879584255 959546460 1055501106 1407334808 1759168510 1919092920 2111002212 2638752765 3518337020 4222004424 5277505530 7036674040 10555011060 21110022120