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22102000100 = 2252221020001
BaseRepresentation
bin10100100101011000…
…011100000111100100
32010001022210221022022
4110211120130013210
5330231103000400
614053054322312
71411464621035
oct244530340744
963038727268
1022102000100
119412003894
124349ab9398
132113015c8b
1410d9532a8c
1589557ab85
hex52561c1e4

22102000100 has 18 divisors (see below), whose sum is σ = 47961340434. Its totient is φ = 8840800000.

The previous prime is 22102000099. The next prime is 22102000111. The reversal of 22102000100 is 100020122.

It can be written as a sum of positive squares in 3 ways, for example, as 196224064 + 21905776036 = 14008^2 + 148006^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 110509901 + ... + 110510100.

It is an arithmetic number, because the mean of its divisors is an integer number (2664518913).

Almost surely, 222102000100 is an apocalyptic number.

22102000100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22102000100 is an abundant number, since it is smaller than the sum of its proper divisors (25859340334).

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

22102000100 is a wasteful number, since it uses less digits than its factorization.

22102000100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 221020015 (or 221020008 counting only the distinct ones).

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

Adding to 22102000100 its reverse (100020122), we get a palindrome (22202020222).

The spelling of 22102000100 in words is "twenty-two billion, one hundred two million, one hundred", and thus it is an aban number.

Divisors: 1 2 4 5 10 20 25 50 100 221020001 442040002 884080004 1105100005 2210200010 4420400020 5525500025 11051000050 22102000100