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21110111220 = 22351176941593
BaseRepresentation
bin10011101010010000…
…101011101111110100
32000111012101202120010
4103222100223233310
5321213142024340
613410422540220
71345061661522
oct235220535764
960435352503
1021110111220
118a53120010
124111897670
131cb5688993
1410438d7312
1583844cb80
hex4ea42bbf4

21110111220 has 96 divisors (see below), whose sum is σ = 64567198080. Its totient is φ = 5110824960.

The previous prime is 21110111219. The next prime is 21110111249. The reversal of 21110111220 is 2211101112.

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 = 21110111196 and 21110111205.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 486744 + ... + 528336.

It is an arithmetic number, because the mean of its divisors is an integer number (672574980).

Almost surely, 221110111220 is an apocalyptic number.

21110111220 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 21110111220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32283599040).

21110111220 is an abundant number, since it is smaller than the sum of its proper divisors (43457086860).

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

21110111220 is a wasteful number, since it uses less digits than its factorization.

21110111220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42385 (or 42383 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 21110111220 its reverse (2211101112), we get a palindrome (23321212332).

The spelling of 21110111220 in words is "twenty-one billion, one hundred ten million, one hundred eleven thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 66 110 132 165 220 330 660 769 1538 2307 3076 3845 4614 7690 8459 9228 11535 15380 16918 23070 25377 33836 41593 42295 46140 50754 83186 84590 101508 124779 126885 166372 169180 207965 249558 253770 415930 457523 499116 507540 623895 831860 915046 1247790 1372569 1830092 2287615 2495580 2745138 4575230 5490276 6862845 9150460 13725690 27451380 31985017 63970034 95955051 127940068 159925085 191910102 319850170 351835187 383820204 479775255 639700340 703670374 959550510 1055505561 1407340748 1759175935 1919101020 2111011122 3518351870 4222022244 5277527805 7036703740 10555055610 21110111220