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22101311124 = 2232613925309
BaseRepresentation
bin10100100101010101…
…110011111010010100
32010001021111221012200
4110211111303322110
5330230413423444
614053031444500
71411456021254
oct244525637224
963037457180
1022101311124
119411683192
124349826730
132112b344b9
1410d93d3964
15895491969
hex525573e94

22101311124 has 18 divisors (see below), whose sum is σ = 55867203210. Its totient is φ = 7367103696.

The previous prime is 22101311117. The next prime is 22101311153. The reversal of 22101311124 is 42111310122.

It can be written as a sum of positive squares in only one way, i.e., 11928571524 + 10172739600 = 109218^2 + 100860^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a super-2 number, since 2×221013111242 (a number of 21 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 22101311097 and 22101311106.

It is a congruent number.

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, 306962619 + ... + 306962690.

Almost surely, 222101311124 is an apocalyptic number.

It is an amenable number.

22101311124 is an abundant number, since it is smaller than the sum of its proper divisors (33765892086).

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

22101311124 is a wasteful number, since it uses less digits than its factorization.

22101311124 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 613925319 (or 613925314 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 22101311124 its reverse (42111310122), we get a palindrome (64212621246).

The spelling of 22101311124 in words is "twenty-two billion, one hundred one million, three hundred eleven thousand, one hundred twenty-four".

Divisors: 1 2 3 4 6 9 12 18 36 613925309 1227850618 1841775927 2455701236 3683551854 5525327781 7367103708 11050655562 22101311124