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22100100102 = 23668322193
BaseRepresentation
bin10100100101010001…
…001100010000000110
32010001012020102000000
4110211101030100012
5330230111200402
614052545502130
71411442515503
oct244521142006
963035212000
1022100100102
119410a26343
124349341946
1321127cc212
1410d919a4aa
15895302c1c
hex52544c406

22100100102 has 56 divisors (see below), whose sum is σ = 49777502184. Its totient is φ = 7355582784.

The previous prime is 22100100101. The next prime is 22100100107. The reversal of 22100100102 is 20100100122.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22100100101) by changing a digit.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 984718 + ... + 1006910.

Almost surely, 222100100102 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22100100102, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24888751092).

22100100102 is an abundant number, since it is smaller than the sum of its proper divisors (27677402082).

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

22100100102 is an equidigital number, since it uses as much as digits as its factorization.

22100100102 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22896 (or 22881 counting only the distinct ones).

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

Adding to 22100100102 its reverse (20100100122), we get a palindrome (42200200224).

The spelling of 22100100102 in words is "twenty-two billion, one hundred million, one hundred thousand, one hundred two".

Divisors: 1 2 3 6 9 18 27 54 81 162 243 486 683 729 1366 1458 2049 4098 6147 12294 18441 22193 36882 44386 55323 66579 110646 133158 165969 199737 331938 399474 497907 599211 995814 1198422 1797633 3595266 5392899 10785798 15157819 16178697 30315638 32357394 45473457 90946914 136420371 272840742 409261113 818522226 1227783339 2455566678 3683350017 7366700034 11050050051 22100100102