Search a number
-
+
10020142242 = 23211313161683
BaseRepresentation
bin10010101010011111…
…10011110010100010
3221212022122222002100
421111033303302202
5131010124022432
64334142231230
7503210542455
oct112517636242
927768588070
1010020142242
1142821221a0
121b37885516
13c38c20566
146b0ac749c
153d9a3b07c
hex2553f3ca2

10020142242 has 48 divisors (see below), whose sum is σ = 23759787168. Its totient is φ = 3026687040.

The previous prime is 10020142217. The next prime is 10020142283. The reversal of 10020142242 is 24224102001.

10020142242 is a `hidden beast` number, since 1 + 0 + 0 + 201 + 422 + 42 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 18868 + ... + 142815.

It is an arithmetic number, because the mean of its divisors is an integer number (494995566).

Almost surely, 210020142242 is an apocalyptic number.

10020142242 is an abundant number, since it is smaller than the sum of its proper divisors (13739644926).

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

10020142242 is a wasteful number, since it uses less digits than its factorization.

10020142242 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 162015 (or 162012 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Adding to 10020142242 its reverse (24224102001), we get a palindrome (34244244243).

The spelling of 10020142242 in words is "ten billion, twenty million, one hundred forty-two thousand, two hundred forty-two".

Divisors: 1 2 3 6 9 11 18 22 33 66 99 198 313 626 939 1878 2817 3443 5634 6886 10329 20658 30987 61974 161683 323366 485049 970098 1455147 1778513 2910294 3557026 5335539 10671078 16006617 32013234 50606779 101213558 151820337 303640674 455461011 556674569 910922022 1113349138 1670023707 3340047414 5010071121 10020142242