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10022211012 = 223111016731117
BaseRepresentation
bin10010101010101111…
…01100110111000100
3221212110120001220110
421111113230313010
5131011141223022
64334254433020
7503234250042
oct112527546704
927773501813
1010022211012
114283305520
121b38502770
13c39496098
146b10a5392
153d9ce900c
hex2555ecdc4

10022211012 has 96 divisors (see below), whose sum is σ = 25825048704. Its totient is φ = 2999808000.

The previous prime is 10022210993. The next prime is 10022211047. The reversal of 10022211012 is 21011222001.

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

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, 8971878 + ... + 8972994.

It is an arithmetic number, because the mean of its divisors is an integer number (269010924).

Almost surely, 210022211012 is an apocalyptic number.

10022211012 is a gapful number since it is divisible by the number (12) 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 10022211012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12912524352).

10022211012 is an abundant number, since it is smaller than the sum of its proper divisors (15802837692).

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

10022211012 is a wasteful number, since it uses less digits than its factorization.

10022211012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1909 (or 1907 counting only the distinct ones).

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

Adding to 10022211012 its reverse (21011222001), we get a palindrome (31033433013).

The spelling of 10022211012 in words is "ten billion, twenty-two million, two hundred eleven thousand, twelve".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 101 132 202 303 404 606 673 1111 1117 1212 1346 2019 2222 2234 2692 3333 3351 4038 4444 4468 6666 6702 7403 8076 12287 13332 13404 14806 22209 24574 29612 36861 44418 49148 67973 73722 88836 112817 135946 147444 203919 225634 271892 338451 407838 451268 676902 747703 751741 815676 1240987 1353804 1495406 1503482 2243109 2255223 2481974 2990812 3006964 3722961 4486218 4510446 4963948 7445922 8269151 8972436 9020892 14891844 16538302 24807453 33076604 49614906 75925841 99229812 151851682 227777523 303703364 455555046 835184251 911110092 1670368502 2505552753 3340737004 5011105506 10022211012