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1002101010012 = 2232172621624731
BaseRepresentation
bin11101001010100011101…
…11111110111001011100
310112210121010211210101200
432211101313332321130
5112404300324310022
62044205302235500
7132253666020444
oct16452167767134
93483533753350
101002101010012
11356a96993903
12142269725b90
137366164b32b
14367054b7124
151b100e2cbac
hexe951dfee5c

1002101010012 has 72 divisors (see below), whose sum is σ = 2683121483952. Its totient is φ = 314264179200.

The previous prime is 1002101010007. The next prime is 1002101010041. The reversal of 1002101010012 is 2100101012001.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 1002101009976 and 1002101010003.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1291687 + ... + 1916417.

It is an arithmetic number, because the mean of its divisors is an integer number (37265576166).

Almost surely, 21002101010012 is an apocalyptic number.

1002101010012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1002101010012 is an abundant number, since it is smaller than the sum of its proper divisors (1681020473940).

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

1002101010012 is a wasteful number, since it uses less digits than its factorization.

1002101010012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 627379 (or 627374 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 1002101010012 its reverse (2100101012001), we get a palindrome (3102202022013).

The spelling of 1002101010012 in words is "one trillion, two billion, one hundred one million, ten thousand, twelve".

Divisors: 1 2 3 4 6 9 12 17 18 34 36 51 68 102 153 204 306 612 2621 5242 7863 10484 15726 23589 31452 44557 47178 89114 94356 133671 178228 267342 401013 534684 624731 802026 1249462 1604052 1874193 2498924 3748386 5622579 7496772 10620427 11245158 21240854 22490316 31861281 42481708 63722562 95583843 127445124 191167686 382335372 1637419951 3274839902 4912259853 6549679804 9824519706 14736779559 19649039412 27836139167 29473559118 55672278334 58947118236 83508417501 111344556668 167016835002 250525252503 334033670004 501050505006 1002101010012