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1002310231122 = 232371504970317
BaseRepresentation
bin11101001010111100101…
…10000110010001010010
310112211010201112022210200
432211132112012101102
5112410212404343442
62044242134440030
7132262116251514
oct16453626062122
93484121468720
101002310231122
11357093aa4812
12142307803016
1373695ab37c5
14367251b9bb4
151b1144a934c
hexe95e586452

1002310231122 has 24 divisors (see below), whose sum is σ = 2230366011276. Its totient is φ = 325073588256.

The previous prime is 1002310231093. The next prime is 1002310231151. The reversal of 1002310231122 is 2211320132001.

1002310231122 is a `hidden beast` number, since 1 + 0 + 0 + 2 + 310 + 231 + 122 = 666.

It is an interprime number because it is at equal distance from previous prime (1002310231093) and next prime (1002310231151).

It can be written as a sum of positive squares in 2 ways, for example, as 991639547721 + 10670683401 = 995811^2 + 103299^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 1002310231095 and 1002310231104.

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 11 ways as a sum of consecutive naturals, for example, 752484493 + ... + 752485824.

Almost surely, 21002310231122 is an apocalyptic number.

1002310231122 is an abundant number, since it is smaller than the sum of its proper divisors (1228055780154).

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

1002310231122 is a wasteful number, since it uses less digits than its factorization.

1002310231122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1504970362 (or 1504970359 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 1002310231122 its reverse (2211320132001), we get a palindrome (3213630363123).

The spelling of 1002310231122 in words is "one trillion, two billion, three hundred ten million, two hundred thirty-one thousand, one hundred twenty-two".

Divisors: 1 2 3 6 9 18 37 74 111 222 333 666 1504970317 3009940634 4514910951 9029821902 13544732853 27089465706 55683901729 111367803458 167051705187 334103410374 501155115561 1002310231122