Search a number
-
+
122837780025 = 32523833142433
BaseRepresentation
bin111001001100110110…
…0111100011000111001
3102202001202221202212100
41302121230330120321
54003032432430100
6132233023534013
711606014621362
oct1623154743071
9382052852770
10122837780025
11481057a7274
121b98215a309
13b7780b184c
145d341a2b69
1532de1a4400
hex1c99b3c639

122837780025 has 36 divisors (see below), whose sum is σ = 220075058268. Its totient is φ = 65495930880.

The previous prime is 122837780003. The next prime is 122837780033. The reversal of 122837780025 is 520087738221.

It can be written as a sum of positive squares in 6 ways, for example, as 2226046761 + 120611733264 = 47181^2 + 347292^2 .

It is not a de Polignac number, because 122837780025 - 215 = 122837747257 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 791209 + ... + 933641.

It is an arithmetic number, because the mean of its divisors is an integer number (6113196063).

Almost surely, 2122837780025 is an apocalyptic number.

122837780025 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

122837780025 is a deficient number, since it is larger than the sum of its proper divisors (97237278243).

122837780025 is a wasteful number, since it uses less digits than its factorization.

122837780025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 146282 (or 146274 counting only the distinct ones).

The product of its (nonzero) digits is 376320, while the sum is 45.

The spelling of 122837780025 in words is "one hundred twenty-two billion, eight hundred thirty-seven million, seven hundred eighty thousand, twenty-five".

Divisors: 1 3 5 9 15 25 45 75 225 3833 11499 19165 34497 57495 95825 142433 172485 287475 427299 712165 862425 1281897 2136495 3560825 6409485 10682475 32047425 545945689 1637837067 2729728445 4913511201 8189185335 13648642225 24567556005 40945926675 122837780025