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22105103553 = 3413171234853
BaseRepresentation
bin10100100101100100…
…010001110011000001
32010001112122121110000
4110211210101303001
5330232401303203
614053245030213
71411533165021
oct244544216301
963045577400
1022105103553
119413833525
12434ab55369
132113861740
1410d9adda81
158959904a3
hex525911cc1

22105103553 has 40 divisors (see below), whose sum is σ = 37653168168. Its totient is φ = 12802945536.

The previous prime is 22105103543. The next prime is 22105103561. The reversal of 22105103553 is 35530150122.

It is a happy number.

22105103553 is a `hidden beast` number, since 2 + 2 + 1 + 0 + 5 + 103 + 553 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 7228910529 + 14876193024 = 85023^2 + 121968^2 .

It is not a de Polignac number, because 22105103553 - 213 = 22105095361 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (22105103543) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 599526 + ... + 635327.

Almost surely, 222105103553 is an apocalyptic number.

It is an amenable number.

22105103553 is a deficient number, since it is larger than the sum of its proper divisors (15548064615).

22105103553 is a wasteful number, since it uses less digits than its factorization.

22105103553 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1234895 (or 1234886 counting only the distinct ones).

The product of its (nonzero) digits is 4500, while the sum is 27.

Adding to 22105103553 its reverse (35530150122), we get a palindrome (57635253675).

The spelling of 22105103553 in words is "twenty-two billion, one hundred five million, one hundred three thousand, five hundred fifty-three".

Divisors: 1 3 9 13 17 27 39 51 81 117 153 221 351 459 663 1053 1377 1989 5967 17901 1234853 3704559 11113677 16053089 20992501 33341031 48159267 62977503 100023093 144477801 188932509 272902513 433433403 566797527 818707539 1300300209 1700392581 2456122617 7368367851 22105103553