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122433325140 = 223571012886217
BaseRepresentation
bin111001000000110011…
…0000100100001010100
3102201000120220100001210
41302001212010201110
54001220412401030
6132124535021420
711563004043540
oct1620146044124
9381016810053
10122433325140
1147a18469335
121b88a80a870
13b712370629
145cd659ca20
1532b8910bb0
hex1c81984854

122433325140 has 96 divisors (see below), whose sum is σ = 395665853184. Its totient is φ = 27707673600.

The previous prime is 122433325129. The next prime is 122433325141. The reversal of 122433325140 is 41523334221.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 122433325098 and 122433325107.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122433325141) by changing a digit.

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, 1400689 + ... + 1485528.

It is an arithmetic number, because the mean of its divisors is an integer number (4121519304).

Almost surely, 2122433325140 is an apocalyptic number.

122433325140 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122433325140 is an abundant number, since it is smaller than the sum of its proper divisors (273232528044).

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

122433325140 is a wasteful number, since it uses less digits than its factorization.

122433325140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2886337 (or 2886335 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 30.

Adding to 122433325140 its reverse (41523334221), we get a palindrome (163956659361).

The spelling of 122433325140 in words is "one hundred twenty-two billion, four hundred thirty-three million, three hundred twenty-five thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 60 70 84 101 105 140 202 210 303 404 420 505 606 707 1010 1212 1414 1515 2020 2121 2828 3030 3535 4242 6060 7070 8484 10605 14140 21210 42420 2886217 5772434 8658651 11544868 14431085 17317302 20203519 28862170 34634604 40407038 43293255 57724340 60610557 80814076 86586510 101017595 121221114 173173020 202035190 242442228 291507917 303052785 404070380 583015834 606105570 874523751 1166031668 1212211140 1457539585 1749047502 2040555419 2915079170 3498095004 4081110838 4372618755 5830158340 6121666257 8162221676 8745237510 10202777095 12243332514 17490475020 20405554190 24486665028 30608331285 40811108380 61216662570 122433325140