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22102020100 = 2252775728493
BaseRepresentation
bin10100100101011000…
…100001000000000100
32010001022211221202001
4110211120201000010
5330231104120400
614053054555044
71411465033246
oct244530410004
963038757661
1022102020100
119412017916
124349b08a84
132113022104
1410d953a096
15895581a6a
hex525621004

22102020100 has 36 divisors (see below), whose sum is σ = 47969250084. Its totient is φ = 8839358080.

The previous prime is 22102020097. The next prime is 22102020103. The reversal of 22102020100 is 102020122.

It is an interprime number because it is at equal distance from previous prime (22102020097) and next prime (22102020103).

It can be written as a sum of positive squares in 6 ways, for example, as 55115776 + 22046904324 = 7424^2 + 148482^2 .

It is a Harshad number since it is a multiple of its sum of digits (10).

It is not an unprimeable number, because it can be changed into a prime (22102020103) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 761454 + ... + 789946.

It is an arithmetic number, because the mean of its divisors is an integer number (1332479169).

Almost surely, 222102020100 is an apocalyptic number.

22102020100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22102020100 is an abundant number, since it is smaller than the sum of its proper divisors (25867229984).

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

22102020100 is a wasteful number, since it uses less digits than its factorization.

22102020100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36264 (or 36257 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

Adding to 22102020100 its reverse (102020122), we get a palindrome (22204040222).

The spelling of 22102020100 in words is "twenty-two billion, one hundred two million, twenty thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 7757 15514 28493 31028 38785 56986 77570 113972 142465 155140 193925 284930 387850 569860 712325 775700 1424650 2849300 221020201 442040402 884080804 1105101005 2210202010 4420404020 5525505025 11051010050 22102020100