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22100011002 = 234136419821
BaseRepresentation
bin10100100101010000…
…110110011111111010
32010001012001212210000
4110211100312133322
5330230100323002
614052543533430
71411441664646
oct244520663772
963035055700
1022100011002
119410975403
1243492ba276
13211279a7b4
1410d9175c26
158952d661c
hex5254367fa

22100011002 has 20 divisors (see below), whose sum is σ = 49520395386. Its totient is φ = 7366670280.

The previous prime is 22100011001. The next prime is 22100011049. The reversal of 22100011002 is 20011000122.

It can be written as a sum of positive squares in only one way, i.e., 20475034281 + 1624976721 = 143091^2 + 40311^2 .

It is a Harshad number since it is a multiple of its sum of digits (9).

It is not an unprimeable number, because it can be changed into a prime (22100011001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 68209749 + ... + 68210072.

Almost surely, 222100011002 is an apocalyptic number.

22100011002 is an abundant number, since it is smaller than the sum of its proper divisors (27420384384).

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

22100011002 is a wasteful number, since it uses less digits than its factorization.

22100011002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 136419835 (or 136419826 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 22100011002 its reverse (20011000122), we get a palindrome (42111011124).

The spelling of 22100011002 in words is "twenty-two billion, one hundred million, eleven thousand, two".

Divisors: 1 2 3 6 9 18 27 54 81 162 136419821 272839642 409259463 818518926 1227778389 2455556778 3683335167 7366670334 11050005501 22100011002