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100002221001 = 344121275783
BaseRepresentation
bin101110100100010011…
…0001100101111001001
3100120010022211011220000
41131020212030233021
53114301032033001
6113535042353213
710140101565504
oct1351046145711
9316108734800
10100002221001
1139457712841
121746a65b809
139579109647
144ba947c13b
152904527a86
hex174898cbc9

100002221001 has 60 divisors (see below), whose sum is σ = 154350806016. Its totient is φ = 64518793920.

The previous prime is 100002220999. The next prime is 100002221009. The reversal of 100002221001 is 100122200001.

It is not a de Polignac number, because 100002221001 - 21 = 100002220999 is a prime.

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

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (100002221009) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 17289556 + ... + 17295338.

Almost surely, 2100002221001 is an apocalyptic number.

It is an amenable number.

100002221001 is a deficient number, since it is larger than the sum of its proper divisors (54348585015).

100002221001 is an equidigital number, since it uses as much as digits as its factorization.

100002221001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6004 (or 5954 counting only the distinct ones).

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

Adding to 100002221001 its reverse (100122200001), we get a palindrome (200124421002).

The spelling of 100002221001 in words is "one hundred billion, two million, two hundred twenty-one thousand, one".

Divisors: 1 3 9 27 41 81 123 127 369 381 1107 1143 1681 3321 3429 5043 5207 5783 10287 15129 15621 17349 45387 46863 52047 136161 140589 156141 213487 237103 421767 468423 640461 711309 734441 1921383 2133927 2203323 5764149 6401781 6609969 9721223 17292447 19205343 19829907 29163669 30112081 59489721 87491007 90336243 262473021 271008729 787419063 813026187 1234595321 2439078561 3703785963 11111357889 33334073667 100002221001