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10021112220 = 22357167142873
BaseRepresentation
bin10010101010100111…
…00000100110011100
3221212101111020122110
421111103200212130
5131010401042340
64334215114020
7503222022420
oct112523404634
927771436573
1010021112220
114282724a29
121b38072910
13c3919cc02
146b0c9ab80
153d9b7d680
hex2554e099c

10021112220 has 96 divisors (see below), whose sum is σ = 32259806208. Its totient is φ = 2276808192.

The previous prime is 10021112219. The next prime is 10021112237. The reversal of 10021112220 is 2221112001.

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 = 10021112196 and 10021112205.

It is a congruent number.

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, 1297 + ... + 141576.

It is an arithmetic number, because the mean of its divisors is an integer number (336039648).

Almost surely, 210021112220 is an apocalyptic number.

10021112220 is a gapful number since it is divisible by the number (10) 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 10021112220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16129903104).

10021112220 is an abundant number, since it is smaller than the sum of its proper divisors (22238693988).

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

10021112220 is a wasteful number, since it uses less digits than its factorization.

10021112220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 143059 (or 143057 counting only the distinct ones).

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

Adding to 10021112220 its reverse (2221112001), we get a palindrome (12242224221).

The spelling of 10021112220 in words is "ten billion, twenty-one million, one hundred twelve thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 60 70 84 105 140 167 210 334 420 501 668 835 1002 1169 1670 2004 2338 2505 3340 3507 4676 5010 5845 7014 10020 11690 14028 17535 23380 35070 70140 142873 285746 428619 571492 714365 857238 1000111 1428730 1714476 2000222 2143095 2857460 3000333 4000444 4286190 5000555 6000666 8572380 10001110 12001332 15001665 20002220 23859791 30003330 47719582 60006660 71579373 95439164 119298955 143158746 167018537 238597910 286317492 334037074 357896865 477195820 501055611 668074148 715793730 835092685 1002111222 1431587460 1670185370 2004222444 2505278055 3340370740 5010556110 10021112220