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1024120402002 = 232130143732189
BaseRepresentation
bin11101110011100100101…
…01010011000001010010
310121220102201012210200100
432321302111103001102
5113234344310331002
62102250250233230
7133663441533525
oct16716225230122
93556381183610
101024120402002
113653662a4a25
12146593a25816
13757604cca69
14377d3a64bbc
151b98e0dc11c
hexee72553052

1024120402002 has 24 divisors (see below), whose sum is σ = 2220633143820. Its totient is φ = 341111066400.

The previous prime is 1024120401973. The next prime is 1024120402003. The reversal of 1024120402002 is 2002040214201.

1024120402002 is a `hidden beast` number, since 1 + 0 + 241 + 20 + 402 + 0 + 0 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 566317956681 + 457802445321 = 752541^2 + 676611^2 .

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

It is not an unprimeable number, because it can be changed into a prime (1024120402003) 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 11 ways as a sum of consecutive naturals, for example, 21842677 + ... + 21889512.

Almost surely, 21024120402002 is an apocalyptic number.

1024120402002 is an abundant number, since it is smaller than the sum of its proper divisors (1196512741818).

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

1024120402002 is a wasteful number, since it uses less digits than its factorization.

1024120402002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43733498 (or 43733495 counting only the distinct ones).

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

Adding to 1024120402002 its reverse (2002040214201), we get a palindrome (3026160616203).

The spelling of 1024120402002 in words is "one trillion, twenty-four billion, one hundred twenty million, four hundred two thousand, two".

Divisors: 1 2 3 6 9 18 1301 2602 3903 7806 11709 23418 43732189 87464378 131196567 262393134 393589701 787179402 56895577889 113791155778 170686733667 341373467334 512060201001 1024120402002