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1002412122252 = 2231717328403381
BaseRepresentation
bin11101001011001000110…
…10110010000010001100
310112211101211020221011020
432211210122302002030
5112410420000403002
62044300214354140
7132264464311302
oct16454432620214
93484354227136
101002412122252
11357136568062
1214233595b950
13736b0c3a008
1436734940272
151b11d3d42bc
hexe9646b208c

1002412122252 has 48 divisors (see below), whose sum is σ = 2490862987872. Its totient is φ = 312664407040.

The previous prime is 1002412122251. The next prime is 1002412122263. The reversal of 1002412122252 is 2522212142001.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (1002412122251) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14166399 + ... + 14236982.

It is an arithmetic number, because the mean of its divisors is an integer number (51892978914).

Almost surely, 21002412122252 is an apocalyptic number.

1002412122252 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1002412122252 is an abundant number, since it is smaller than the sum of its proper divisors (1488450865620).

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

1002412122252 is a wasteful number, since it uses less digits than its factorization.

1002412122252 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28403578 (or 28403576 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 24.

Adding to 1002412122252 its reverse (2522212142001), we get a palindrome (3524624264253).

The spelling of 1002412122252 in words is "one trillion, two billion, four hundred twelve million, one hundred twenty-two thousand, two hundred fifty-two".

Divisors: 1 2 3 4 6 12 17 34 51 68 102 173 204 346 519 692 1038 2076 2941 5882 8823 11764 17646 35292 28403381 56806762 85210143 113613524 170420286 340840572 482857477 965714954 1448572431 1931429908 2897144862 4913784913 5794289724 9827569826 14741354739 19655139652 29482709478 58965418956 83534343521 167068687042 250603030563 334137374084 501206061126 1002412122252