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122431121020 = 225131932439839
BaseRepresentation
bin111001000000101110…
…1101010011001111100
3102201000102202100120201
41302001131222121330
54001214331333040
6132124415453244
711562646233535
oct1620135523174
9381012670521
10122431121020
1147a171a334a
121b889b27224
13b711a7b310
145cd618768c
1532b8627a9a
hex1c8176a67c

122431121020 has 48 divisors (see below), whose sum is σ = 278317428480. Its totient is φ = 44971094016.

The previous prime is 122431121011. The next prime is 122431121027. The reversal of 122431121020 is 20121134221.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122431121027) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1169740 + ... + 1270099.

It is an arithmetic number, because the mean of its divisors is an integer number (5798279760).

Almost surely, 2122431121020 is an apocalyptic number.

122431121020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122431121020 is an abundant number, since it is smaller than the sum of its proper divisors (155886307460).

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

122431121020 is a wasteful number, since it uses less digits than its factorization.

122431121020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2440054 (or 2440052 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 19.

Adding to 122431121020 its reverse (20121134221), we get a palindrome (142552255241).

The spelling of 122431121020 in words is "one hundred twenty-two billion, four hundred thirty-one million, one hundred twenty-one thousand, twenty".

Divisors: 1 2 4 5 10 13 20 26 52 65 130 193 260 386 772 965 1930 2509 3860 5018 10036 12545 25090 50180 2439839 4879678 9759356 12199195 24398390 31717907 48796780 63435814 126871628 158589535 317179070 470888927 634358140 941777854 1883555708 2354444635 4708889270 6121556051 9417778540 12243112102 24486224204 30607780255 61215560510 122431121020