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10022102110224 = 243291957756853
BaseRepresentation
bin1001000111010111001111…
…0101100001000000010000
31022111002210112020210012100
42101311303311201000100
52303200231120011344
633152031250000400
72053034014234401
oct221656365410020
938432715223170
1010022102110224
113214393402616
12115a425876100
135791071ac659
1426910268d9a8
15125a704e1569
hex91d73d61010

10022102110224 has 60 divisors (see below), whose sum is σ = 28048308393196. Its totient is φ = 3340659960576.

The previous prime is 10022102110211. The next prime is 10022102110249. The reversal of 10022102110224 is 42201120122001.

10022102110224 is a `hidden beast` number, since 10 + 0 + 221 + 0 + 211 + 0 + 224 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 5709136784400 + 4312965325824 = 2389380^2 + 2076768^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 10022102110197 and 10022102110206.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 12863382 + ... + 13620234.

Almost surely, 210022102110224 is an apocalyptic number.

It is an amenable number.

10022102110224 is an abundant number, since it is smaller than the sum of its proper divisors (18026206282972).

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

10022102110224 is a wasteful number, since it uses less digits than its factorization.

10022102110224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 848824 (or 848815 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 10022102110224 its reverse (42201120122001), we get a palindrome (52223222232225).

The spelling of 10022102110224 in words is "ten trillion, twenty-two billion, one hundred two million, one hundred ten thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 91957 183914 275871 367828 551742 735656 756853 827613 1103484 1471312 1513706 1655226 2206968 2270559 3027412 3310452 4413936 4541118 6054824 6620904 6811677 9082236 12109648 13241808 13623354 18164472 27246708 36328944 54493416 108986832 69597931321 139195862642 208793793963 278391725284 417587587926 556783450568 626381381889 835175175852 1113566901136 1252762763778 1670350351704 2505525527556 3340700703408 5011051055112 10022102110224