Search a number
-
+
202102223122032 = 2435971363779351
BaseRepresentation
bin101101111100111110010111…
…001101111010111001110000
3222111120210011102022112220020
4231330332113031322321300
5202442220323104401112
61553500251330443440
760366255331111452
oct5574762715727160
9874523142275806
10202102223122032
115943a087181772
121a800921733580
1388a0208a9b7bc
1437c9b2a8b02d2
15185722153e48c
hexb7cf9737ae70

202102223122032 has 40 divisors (see below), whose sum is σ = 530946518378880. Its totient is φ = 66225587236800.

The previous prime is 202102223121979. The next prime is 202102223122061. The reversal of 202102223122032 is 230221322201202.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 202102223121993 and 202102223122011.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 35681886844 + ... + 35681892507.

It is an arithmetic number, because the mean of its divisors is an integer number (13273662959472).

Almost surely, 2202102223122032 is an apocalyptic number.

It is an amenable number.

202102223122032 is an abundant number, since it is smaller than the sum of its proper divisors (328844295256848).

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

202102223122032 is a wasteful number, since it uses less digits than its factorization.

202102223122032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71363779421 (or 71363779415 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 202102223122032 its reverse (230221322201202), we get a palindrome (432323545323234).

The spelling of 202102223122032 in words is "two hundred two trillion, one hundred two billion, two hundred twenty-three million, one hundred twenty-two thousand, thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 48 59 118 177 236 354 472 708 944 1416 2832 71363779351 142727558702 214091338053 285455117404 428182676106 570910234808 856365352212 1141820469616 1712730704424 3425461408848 4210462981709 8420925963418 12631388945127 16841851926836 25262777890254 33683703853672 50525555780508 67367407707344 101051111561016 202102223122032