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122130140445 = 33543110871931
BaseRepresentation
bin111000110111110000…
…1100000110100011101
3102200020110101221212000
41301233201200310131
54000110303443240
6132034504432513
711552333031255
oct1615741406435
9380213357760
10122130140445
114788230a175
121b805178739
13b6945c90c1
145ca81da965
15329bec3430
hex1c6f860d1d

122130140445 has 64 divisors (see below), whose sum is σ = 217937018880. Its totient is φ = 64891540800.

The previous prime is 122130140401. The next prime is 122130140449. The reversal of 122130140445 is 544041031221.

122130140445 is a `hidden beast` number, since 1 + 2 + 213 + 0 + 1 + 4 + 0 + 445 = 666.

It is not a de Polignac number, because 122130140445 - 26 = 122130140381 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122130140449) 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 63 ways as a sum of consecutive naturals, for example, 63246130 + ... + 63248060.

It is an arithmetic number, because the mean of its divisors is an integer number (3405265920).

Almost surely, 2122130140445 is an apocalyptic number.

122130140445 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

122130140445 is a deficient number, since it is larger than the sum of its proper divisors (95806878435).

122130140445 is a wasteful number, since it uses less digits than its factorization.

122130140445 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3463 (or 3457 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

Adding to 122130140445 its reverse (544041031221), we get a palindrome (666171171666).

The spelling of 122130140445 in words is "one hundred twenty-two billion, one hundred thirty million, one hundred forty thousand, four hundred forty-five".

Divisors: 1 3 5 9 15 27 45 135 431 1087 1293 1931 2155 3261 3879 5435 5793 6465 9655 9783 11637 16305 17379 19395 28965 29349 48915 52137 58185 86895 146745 260685 468497 832261 1405491 2098997 2342485 2496783 4161305 4216473 6296991 7027455 7490349 10494985 12483915 12649419 18890973 21082365 22471047 31484955 37451745 56672919 63247095 94454865 112355235 283364595 904667707 2714003121 4523338535 8142009363 13570015605 24426028089 40710046815 122130140445