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45221520100 = 22523131444777
BaseRepresentation
bin101010000111011010…
…011010001011100100
311022201120021020111211
4222013122122023210
51220103202120400
632435142041204
73160426402321
oct520732321344
9138646236454
1045221520100
11181a6407409
128920719204
134358a91723
14228dc53b48
15129a0e8dba
hexa8769a2e4

45221520100 has 36 divisors (see below), whose sum is σ = 98444283364. Its totient is φ = 18030804480.

The previous prime is 45221520073. The next prime is 45221520101. The reversal of 45221520100 is 102512254.

It can be written as a sum of positive squares in 6 ways, for example, as 7759143396 + 37462376704 = 88086^2 + 193552^2 .

It is not an unprimeable number, because it can be changed into a prime (45221520101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 691089 + ... + 753688.

Almost surely, 245221520100 is an apocalyptic number.

It is an amenable number.

45221520100 is an abundant number, since it is smaller than the sum of its proper divisors (53222763264).

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

45221520100 is a wasteful number, since it uses less digits than its factorization.

45221520100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1445104 (or 1445097 counting only the distinct ones).

The product of its (nonzero) digits is 800, while the sum is 22.

The spelling of 45221520100 in words is "forty-five billion, two hundred twenty-one million, five hundred twenty thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 313 626 1252 1565 3130 6260 7825 15650 31300 1444777 2889554 5779108 7223885 14447770 28895540 36119425 72238850 144477700 452215201 904430402 1808860804 2261076005 4522152010 9044304020 11305380025 22610760050 45221520100