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1002311010012 = 2231397483113711
BaseRepresentation
bin11101001010111100110…
…01000100011011011100
310112211010202222220020110
432211132121010123130
5112410213104310022
62044242203250020
7132262126004364
oct16453631043334
93484122886213
101002311010012
11357094486a24
12142307b19910
1373695cc71a0
143672533d9a4
151b1145b000c
hexe95e6446dc

1002311010012 has 96 divisors (see below), whose sum is σ = 2545305247744. Its totient is φ = 305138534400.

The previous prime is 1002311010011. The next prime is 1002311010053. The reversal of 1002311010012 is 2100101132001.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a self number, because there is not a number n which added to its sum of digits gives 1002311010012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1002311010011) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 73095837 + ... + 73109547.

Almost surely, 21002311010012 is an apocalyptic number.

1002311010012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1002311010012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1272652623872).

1002311010012 is an abundant number, since it is smaller than the sum of its proper divisors (1542994237732).

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

1002311010012 is a wasteful number, since it uses less digits than its factorization.

1002311010012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18659 (or 18657 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 12.

Adding to 1002311010012 its reverse (2100101132001), we get a palindrome (3102412142013).

The spelling of 1002311010012 in words is "one trillion, two billion, three hundred eleven million, ten thousand, twelve".

Divisors: 1 2 3 4 6 12 13 26 39 52 78 97 156 194 291 388 582 1164 1261 2522 3783 4831 5044 7566 9662 13711 14493 15132 19324 27422 28986 41133 54844 57972 62803 82266 125606 164532 178243 188409 251212 356486 376818 468607 534729 712972 753636 937214 1069458 1329967 1405821 1874428 2138916 2659934 2811642 3989901 5319868 5623284 6091891 7979802 12183782 15959604 17289571 18275673 24367564 34579142 36551346 51868713 66237841 69158284 73102692 103737426 132475682 198713523 207474852 264951364 397427046 794854092 861091933 1722183866 2583275799 3444367732 5166551598 6425070577 10333103196 12850141154 19275211731 25700282308 38550423462 77100846924 83525917501 167051835002 250577752503 334103670004 501155505006 1002311010012