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22100022222102 = 23211277402946837
BaseRepresentation
bin1010000011001100011111…
…11110010101110100010110
32220020202000112202200212100
411001212033332111310112
510344041321142101402
6115000335434302530
74440450103260636
oct501461776256426
986222015680770
1022100022222102
1170506264417a0
12258b170887a46
13c4403bb384c6
1456590aab46c6
15284d13edc71c
hex14198ff95d16

22100022222102 has 48 divisors (see below), whose sum is σ = 52424995411152. Its totient is φ = 6672799604160.

The previous prime is 22100022222017. The next prime is 22100022222107. The reversal of 22100022222102 is 20122222000122.

22100022222102 is a `hidden beast` number, since 221 + 0 + 0 + 0 + 222 + 221 + 0 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22100022222107) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 201418573 + ... + 201528264.

It is an arithmetic number, because the mean of its divisors is an integer number (1092187404399).

Almost surely, 222100022222102 is an apocalyptic number.

22100022222102 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

22100022222102 is an abundant number, since it is smaller than the sum of its proper divisors (30324973189050).

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

22100022222102 is a wasteful number, since it uses less digits than its factorization.

22100022222102 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 402947133 (or 402947130 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Adding to 22100022222102 its reverse (20122222000122), we get a palindrome (42222244222224).

The spelling of 22100022222102 in words is "twenty-two trillion, one hundred billion, twenty-two million, two hundred twenty-two thousand, one hundred two".

Divisors: 1 2 3 6 9 11 18 22 33 66 99 198 277 554 831 1662 2493 3047 4986 6094 9141 18282 27423 54846 402946837 805893674 1208840511 2417681022 3626521533 4432415207 7253043066 8864830414 13297245621 26594491242 39891736863 79783473726 111616273849 223232547698 334848821547 669697643094 1004546464641 1227779012339 2009092929282 2455558024678 3683337037017 7366674074034 11050011111051 22100022222102