Search a number
-
+
122041131140 = 22567349926029
BaseRepresentation
bin111000110101000110…
…1111110000010000100
3102200000020220211001002
41301222031332002010
53444420012144030
6132022004552432
711550202333025
oct1615215760204
9380006824032
10122041131140
1147837045165
121b79b3b2718
13b67c033086
145c9a46ac4c
153294290245
hex1c6a37e084

122041131140 has 48 divisors (see below), whose sum is σ = 260195880000. Its totient is φ = 48072258432.

The previous prime is 122041131137. The next prime is 122041131169. The reversal of 122041131140 is 41131140221.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4675646 + ... + 4701674.

It is an arithmetic number, because the mean of its divisors is an integer number (5420747500).

Almost surely, 2122041131140 is an apocalyptic number.

122041131140 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122041131140 is an abundant number, since it is smaller than the sum of its proper divisors (138154748860).

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

122041131140 is a wasteful number, since it uses less digits than its factorization.

122041131140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29604 (or 29602 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 20.

Adding to 122041131140 its reverse (41131140221), we get a palindrome (163172271361).

The spelling of 122041131140 in words is "one hundred twenty-two billion, forty-one million, one hundred thirty-one thousand, one hundred forty".

Divisors: 1 2 4 5 10 20 67 134 268 335 670 1340 3499 6998 13996 17495 26029 34990 52058 69980 104116 130145 234433 260290 468866 520580 937732 1172165 1743943 2344330 3487886 4688660 6975772 8719715 17439430 34878860 91075471 182150942 364301884 455377355 910754710 1821509420 6102056557 12204113114 24408226228 30510282785 61020565570 122041131140