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21110000120 = 23511283169531
BaseRepresentation
bin10011101010010000…
…010000100111111000
32000111012012010011022
4103222100100213320
5321213130000440
613410420322012
71345061016566
oct235220204770
960435163138
1021110000120
118a530545a0
124111843308
131cb564a241
1410438a8a36
15838429cb5
hex4ea4109f8

21110000120 has 64 divisors (see below), whose sum is σ = 51998855040. Its totient is φ = 7649193600.

The previous prime is 21110000101. The next prime is 21110000137. The reversal of 21110000120 is 2100001112.

It is a Harshad number since it is a multiple of its sum of digits (8).

It is a junction number, because it is equal to n+sod(n) for n = 21110000098 and 21110000107.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 39755 + ... + 209285.

It is an arithmetic number, because the mean of its divisors is an integer number (812482110).

Almost surely, 221110000120 is an apocalyptic number.

21110000120 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 21110000120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25999427520).

21110000120 is an abundant number, since it is smaller than the sum of its proper divisors (30888854920).

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

21110000120 is a wasteful number, since it uses less digits than its factorization.

21110000120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 169836 (or 169832 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 8.

Adding to 21110000120 its reverse (2100001112), we get a palindrome (23210001232).

The spelling of 21110000120 in words is "twenty-one billion, one hundred ten million, one hundred twenty", and thus it is an aban number.

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 110 220 283 440 566 1132 1415 2264 2830 3113 5660 6226 11320 12452 15565 24904 31130 62260 124520 169531 339062 678124 847655 1356248 1695310 1864841 3390620 3729682 6781240 7459364 9324205 14918728 18648410 37296820 47977273 74593640 95954546 191909092 239886365 383818184 479772730 527750003 959545460 1055500006 1919090920 2111000012 2638750015 4222000024 5277500030 10555000060 21110000120