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122881341 = 31119238521
BaseRepresentation
bin1110101001100…
…00010100111101
322120020000111210
413110300110331
5222424200331
620105435033
73021321432
oct724602475
9276200453
10122881341
11633aa630
123519ba79
131c5c556b
1412469b89
15abc4446
hex753053d

122881341 has 32 divisors (see below), whose sum is σ = 196346880. Its totient is φ = 67478400.

The previous prime is 122881331. The next prime is 122881349. The reversal of 122881341 is 143188221.

It is not a de Polignac number, because 122881341 - 26 = 122881277 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 122881299 and 122881308.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122881349) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10161 + ... + 18681.

It is an arithmetic number, because the mean of its divisors is an integer number (6135840).

Almost surely, 2122881341 is an apocalyptic number.

122881341 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

122881341 is a deficient number, since it is larger than the sum of its proper divisors (73465539).

122881341 is a wasteful number, since it uses less digits than its factorization.

122881341 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8577.

The product of its digits is 3072, while the sum is 30.

The square root of 122881341 is about 11085.1856547376. The cubic root of 122881341 is about 497.1590094525.

The spelling of 122881341 in words is "one hundred twenty-two million, eight hundred eighty-one thousand, three hundred forty-one".

Divisors: 1 3 11 19 23 33 57 69 209 253 437 627 759 1311 4807 8521 14421 25563 93731 161899 195983 281193 485697 587949 1780889 2155813 3723677 5342667 6467439 11171031 40960447 122881341