Search a number
-
+
142100243122122 = 2351991469283073
BaseRepresentation
bin100000010011110101001010…
…100000111000011111001010
3200122010122120021012121200000
4200103311022200320133022
5122111132244214401442
61222115541150023430
741634255331210365
oct4023651240703712
9618118507177600
10142100243122122
11413064137733aa
1213b2bb8baa7b76
136139cc2c5943c
14271398d2070dc
151166547c29d4c
hex813d4a8387ca

142100243122122 has 48 divisors (see below), whose sum is σ = 320891423361600. Its totient is φ = 47128723817472.

The previous prime is 142100243122021. The next prime is 142100243122127. The reversal of 142100243122122 is 221221342001241.

142100243122122 is a `hidden beast` number, since 1 + 4 + 2 + 1 + 0 + 0 + 2 + 431 + 221 + 2 + 2 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (142100243122127) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 734544823 + ... + 734738250.

It is an arithmetic number, because the mean of its divisors is an integer number (6685237986700).

Almost surely, 2142100243122122 is an apocalyptic number.

142100243122122 is an abundant number, since it is smaller than the sum of its proper divisors (178791180239478).

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

142100243122122 is a wasteful number, since it uses less digits than its factorization.

142100243122122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1469283289 (or 1469283277 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

Adding to 142100243122122 its reverse (221221342001241), we get a palindrome (363321585123363).

The spelling of 142100243122122 in words is "one hundred forty-two trillion, one hundred billion, two hundred forty-three million, one hundred twenty-two thousand, one hundred twenty-two".

Divisors: 1 2 3 6 9 18 27 54 81 162 199 243 398 486 597 1194 1791 3582 5373 10746 16119 32238 48357 96714 1469283073 2938566146 4407849219 8815698438 13223547657 26447095314 39670642971 79341285942 119011928913 238023857826 292387331527 357035786739 584774663054 714071573478 877161994581 1754323989162 2631485983743 5262971967486 7894457951229 15788915902458 23683373853687 47366747707374 71050121561061 142100243122122