Search a number
-
+
1022002332132 = 2231913421333989
BaseRepresentation
bin11101101111101000001…
…01100000000111100100
310121200222002200201001010
432313310011200013210
5113221030044112012
62101300144502220
7133560112326645
oct16676405400744
93550862621033
101022002332132
11364479744761
121460a261a970
13754b3756192
14376726336cc
151b8b81a5c3c
hexedf41601e4

1022002332132 has 48 divisors (see below), whose sum is σ = 2510375716800. Its totient is φ = 322712565120.

The previous prime is 1022002332121. The next prime is 1022002332179. The reversal of 1022002332132 is 2312332002201.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 1022002332099 and 1022002332108.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 2892994 + ... + 3226982.

It is an arithmetic number, because the mean of its divisors is an integer number (52299494100).

Almost surely, 21022002332132 is an apocalyptic number.

1022002332132 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1022002332132 is an abundant number, since it is smaller than the sum of its proper divisors (1488373384668).

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

1022002332132 is a wasteful number, since it uses less digits than its factorization.

1022002332132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 347436 (or 347434 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 21.

Adding to 1022002332132 its reverse (2312332002201), we get a palindrome (3334334334333).

The spelling of 1022002332132 in words is "one trillion, twenty-two billion, two million, three hundred thirty-two thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 12 19 38 57 76 114 228 13421 26842 40263 53684 80526 161052 254999 333989 509998 667978 764997 1001967 1019996 1335956 1529994 2003934 3059988 4007868 6345791 12691582 19037373 25383164 38074746 76149492 4482466369 8964932738 13447399107 17929865476 26894798214 53789596428 85166861011 170333722022 255500583033 340667444044 511001166066 1022002332132