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10221112002 = 232329288069
BaseRepresentation
bin10011000010011100…
…11100101011000010
3222101022211021202210
421201032130223002
5131413101041002
64410121522550
7511201006233
oct114116345302
928338737683
1010221112002
114375607802
121b93043456
13c6b75708a
146cd67d08a
153ec4d796c
hex26139cac2

10221112002 has 48 divisors (see below), whose sum is σ = 22092183360. Its totient is φ = 3146493504.

The previous prime is 10221111961. The next prime is 10221112003. The reversal of 10221112002 is 20021112201.

It is a super-3 number, since 3×102211120023 (a number of 31 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (10221112003) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 72024 + ... + 160092.

It is an arithmetic number, because the mean of its divisors is an integer number (460253820).

Almost surely, 210221112002 is an apocalyptic number.

10221112002 is an abundant number, since it is smaller than the sum of its proper divisors (11871071358).

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

10221112002 is a wasteful number, since it uses less digits than its factorization.

10221112002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 88155 (or 88126 counting only the distinct ones).

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

Adding to 10221112002 its reverse (20021112201), we get a palindrome (30242224203).

The spelling of 10221112002 in words is "ten billion, two hundred twenty-one million, one hundred twelve thousand, two".

Divisors: 1 2 3 6 23 29 46 58 69 87 138 174 667 841 1334 1682 2001 2523 4002 5046 19343 38686 58029 88069 116058 176138 264207 528414 2025587 2554001 4051174 5108002 6076761 7662003 12153522 15324006 58742023 74066029 117484046 148132058 176226069 222198087 352452138 444396174 1703518667 3407037334 5110556001 10221112002