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10221111992 = 2371318177569
BaseRepresentation
bin10011000010011100…
…11100101010111000
3222101022211021202102
421201032130222320
5131413101040432
64410121522532
7511201006220
oct114116345270
928338737672
1010221111992
1143756077a3
121b93043448
13c6b757080
146cd67d080
153ec4d7962
hex26139cab8

10221111992 has 64 divisors (see below), whose sum is σ = 23717803200. Its totient is φ = 4021125120.

The previous prime is 10221111961. The next prime is 10221112003. The reversal of 10221111992 is 29911112201.

It is a super-3 number, since 3×102211119923 (a number of 31 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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, 92984 + ... + 170552.

It is an arithmetic number, because the mean of its divisors is an integer number (370590675).

Almost surely, 210221111992 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10221111992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11858901600).

10221111992 is an abundant number, since it is smaller than the sum of its proper divisors (13496691208).

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

10221111992 is a wasteful number, since it uses less digits than its factorization.

10221111992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 77776 (or 77772 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 29.

The spelling of 10221111992 in words is "ten billion, two hundred twenty-one million, one hundred eleven thousand, nine hundred ninety-two".

Divisors: 1 2 4 7 8 13 14 26 28 52 56 91 104 181 182 362 364 724 728 1267 1448 2353 2534 4706 5068 9412 10136 16471 18824 32942 65884 77569 131768 155138 310276 542983 620552 1008397 1085966 2016794 2171932 4033588 4343864 7058779 8067176 14039989 14117558 28079978 28235116 56159956 56470232 98279923 112319912 182519857 196559846 365039714 393119692 730079428 786239384 1277638999 1460158856 2555277998 5110555996 10221111992