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1022000202012 = 22331103914831783
BaseRepresentation
bin11101101111100111111…
…01011000000100011100
310121200221221200111001210
432313303331120010130
5113221024022431022
62101300031104420
7133560055245456
oct16676375300434
93550857614053
101022000202012
1136447851a329
121460a1972110
13754b318b75a
143767223b2d6
151b8b7dd4a0c
hexedf3f5811c

1022000202012 has 96 divisors (see below), whose sum is σ = 2467005399040. Its totient is φ = 328953493440.

The previous prime is 1022000202007. The next prime is 1022000202059. The reversal of 1022000202012 is 2102020002201.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 573190473 + ... + 573192255.

Almost surely, 21022000202012 is an apocalyptic number.

1022000202012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1022000202012 is an abundant number, since it is smaller than the sum of its proper divisors (1445005197028).

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

1022000202012 is a wasteful number, since it uses less digits than its factorization.

1022000202012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4343 (or 4341 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

Adding to 1022000202012 its reverse (2102020002201), we get a palindrome (3124020204213).

The spelling of 1022000202012 in words is "one trillion, twenty-two billion, two hundred two thousand, twelve".

Divisors: 1 2 3 4 6 12 31 62 93 124 186 372 1039 1483 1783 2078 2966 3117 3566 4156 4449 5349 5932 6234 7132 8898 10698 12468 17796 21396 32209 45973 55273 64418 91946 96627 110546 128836 137919 165819 183892 193254 221092 275838 331638 386508 551676 663276 1540837 1852537 2644189 3081674 3705074 4622511 5288378 5557611 6163348 7410148 7932567 9245022 10576756 11115222 15865134 18490044 22230444 31730268 47765947 57428647 81969859 95531894 114857294 143297841 163939718 172285941 191063788 229714588 245909577 286595682 327879436 344571882 491819154 573191364 689143764 983638308 2747312371 5494624742 8241937113 10989249484 16483874226 32967748452 85166683501 170333367002 255500050503 340666734004 511000101006 1022000202012