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122035140 = 22335673373
BaseRepresentation
bin1110100011000…
…01101111000100
322111122000202000
413101201233010
5222220111030
620035345300
73011165403
oct721415704
9274560660
10122035140
1162981897
1234a52230
131c38a356
14122c963a
15aaa8860
hex7461bc4

122035140 has 96 divisors (see below), whose sum is σ = 385445760. Its totient is φ = 32047488.

The previous prime is 122035117. The next prime is 122035181. The reversal of 122035140 is 41530221.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a nialpdrome in base 15.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 34494 + ... + 37866.

It is an arithmetic number, because the mean of its divisors is an integer number (4015060).

Almost surely, 2122035140 is an apocalyptic number.

122035140 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 122035140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (192722880).

122035140 is an abundant number, since it is smaller than the sum of its proper divisors (263410620).

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

122035140 is a wasteful number, since it uses less digits than its factorization.

122035140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3458 (or 3450 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 122035140 is about 11046.9516157173. The cubic root of 122035140 is about 496.0151801199.

Adding to 122035140 its reverse (41530221), we get a palindrome (163565361).

The spelling of 122035140 in words is "one hundred twenty-two million, thirty-five thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 67 90 108 134 135 180 201 268 270 335 402 540 603 670 804 1005 1206 1340 1809 2010 2412 3015 3373 3618 4020 6030 6746 7236 9045 10119 12060 13492 16865 18090 20238 30357 33730 36180 40476 50595 60714 67460 91071 101190 121428 151785 182142 202380 225991 303570 364284 451982 455355 607140 677973 903964 910710 1129955 1355946 1821420 2033919 2259910 2711892 3389865 4067838 4519820 6101757 6779730 8135676 10169595 12203514 13559460 20339190 24407028 30508785 40678380 61017570 122035140