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22123290121 = 59225212
BaseRepresentation
bin10100100110101001…
…101001111000001001
32010002210212120201121
4110212221221320021
5330302030240441
614055134515241
71412143602052
oct244651517011
963083776647
1022123290121
119423025349
124355065b21
13211755b61a
1410dc2b5729
15897383dd1
hex526a69e09

22123290121 has 9 divisors (see below), whose sum is σ = 22513546983. Its totient is φ = 21739692240.

The previous prime is 22123290103. The next prime is 22123290127. The reversal of 22123290121 is 12109232122.

The square root of 22123290121 is 148739.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 17547721 + 22105742400 = 4189^2 + 148680^2 .

It is a de Polignac number, because none of the positive numbers 2k-22123290121 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (22123290127) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 8774341 + ... + 8776861.

Almost surely, 222123290121 is an apocalyptic number.

22123290121 is the 148739-th square number.

22123290121 is the 74370-th centered octagonal number.

It is an amenable number.

22123290121 is a deficient number, since it is larger than the sum of its proper divisors (390256862).

22123290121 is an frugal number, since it uses more digits than its factorization.

22123290121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5160 (or 2580 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 25.

Multiplying 22123290121 by its sum of digits (25), we get a square (553082253025 = 7436952).

The spelling of 22123290121 in words is "twenty-two billion, one hundred twenty-three million, two hundred ninety thousand, one hundred twenty-one".

Divisors: 1 59 2521 3481 148739 6355441 8775601 374971019 22123290121