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22121101008 = 2432997154081
BaseRepresentation
bin10100100110100001…
…010011011011010000
32010002122202100211100
4110212201103123100
5330301000213013
614055015544400
71412116153566
oct244641233320
963078670740
1022121101008
11942186a666
12435438b100
132116c730a6
1410dbca5a36
158970a0473
hex5268536d0

22121101008 has 60 divisors (see below), whose sum is σ = 61970855908. Its totient is φ = 7366256640.

The previous prime is 22121101007. The next prime is 22121101019. The reversal of 22121101008 is 80010112122.

It can be written as a sum of positive squares in 2 ways, for example, as 17199797904 + 4921303104 = 131148^2 + 70152^2 .

It is a super-2 number, since 2×221211010082 (a number of 21 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22121101007) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 66528 + ... + 220608.

Almost surely, 222121101008 is an apocalyptic number.

It is an amenable number.

22121101008 is an abundant number, since it is smaller than the sum of its proper divisors (39849754900).

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

22121101008 is a wasteful number, since it uses less digits than its factorization.

22121101008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 155092 (or 155083 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

The spelling of 22121101008 in words is "twenty-two billion, one hundred twenty-one million, one hundred one thousand, eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 997 1994 2991 3988 5982 7976 8973 11964 15952 17946 23928 35892 47856 71784 143568 154081 308162 462243 616324 924486 1232648 1386729 1848972 2465296 2773458 3697944 5546916 7395888 11093832 22187664 153618757 307237514 460856271 614475028 921712542 1228950056 1382568813 1843425084 2457900112 2765137626 3686850168 5530275252 7373700336 11060550504 22121101008