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22100220222102 = 23211373016683077
BaseRepresentation
bin1010000011001100110111…
…10001101001101010010110
32220020202112100100010210200
411001212123301221222112
510344042222334101402
6115000411230201330
74440455026245261
oct501463361515226
986222470303720
1022100220222102
117050718189060
12258b207053246
13c44070b72379
145659290d5cd8
15284d2659e21c
hex14199bc69a96

22100220222102 has 48 divisors (see below), whose sum is σ = 53648691859152. Its totient is φ = 6516035444160.

The previous prime is 22100220222089. The next prime is 22100220222109. The reversal of 22100220222102 is 20122202200122.

22100220222102 is a `hidden beast` number, since 2 + 210 + 0 + 220 + 22 + 210 + 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 (22100220222109) 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, 1508334213 + ... + 1508348864.

It is an arithmetic number, because the mean of its divisors is an integer number (1117681080399).

Almost surely, 222100220222102 is an apocalyptic number.

22100220222102 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

22100220222102 is an abundant number, since it is smaller than the sum of its proper divisors (31548471637050).

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

22100220222102 is a wasteful number, since it uses less digits than its factorization.

22100220222102 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3016683133 (or 3016683130 counting only the distinct ones).

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

Adding to 22100220222102 its reverse (20122202200122), we get a palindrome (42222422422224).

It can be divided in two parts, 22100220 and 222102, that added together give a palindrome (22322322).

The spelling of 22100220222102 in words is "twenty-two trillion, one hundred billion, two hundred twenty million, two hundred twenty-two thousand, one hundred two".

Divisors: 1 2 3 6 9 11 18 22 33 37 66 74 99 111 198 222 333 407 666 814 1221 2442 3663 7326 3016683077 6033366154 9050049231 18100098462 27150147693 33183513847 54300295386 66367027694 99550541541 111617273849 199101083082 223234547698 298651624623 334851821547 597303249246 669703643094 1004555464641 1227790012339 2009110929282 2455580024678 3683370037017 7366740074034 11050110111051 22100220222102