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1000002021012 = 22321091635632777
BaseRepresentation
bin11101000110101001100…
…00111110011010010100
310112121011212020002210100
432203110300332122110
5112341001004133022
62043221121454100
7132150660634131
oct16432460763224
93477155202710
101000002021012
1135610a086355
121419827a1330
13733b88256c7
1436586811588
151b02ba151ac
hexe8d4c3e694

1000002021012 has 144 divisors (see below), whose sum is σ = 2572108418880. Its totient is φ = 327548634624.

The previous prime is 1000002020999. The next prime is 1000002021059. The reversal of 1000002021012 is 2101202000001.

1000002021012 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

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 = 1000002020985 and 1000002021003.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 360100168 + ... + 360102944.

It is an arithmetic number, because the mean of its divisors is an integer number (17861864020).

Almost surely, 21000002021012 is an apocalyptic number.

1000002021012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1000002021012 is an abundant number, since it is smaller than the sum of its proper divisors (1572106397868).

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

1000002021012 is a wasteful number, since it uses less digits than its factorization.

1000002021012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3622 (or 3617 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 1000002021012 its reverse (2101202000001), we get a palindrome (3101204021013).

The spelling of 1000002021012 in words is "one trillion, two million, twenty-one thousand, twelve".

Divisors: 1 2 3 4 6 9 12 18 36 109 163 218 326 327 436 489 563 652 654 978 981 1126 1308 1467 1689 1956 1962 2252 2777 2934 3378 3924 5067 5554 5868 6756 8331 10134 11108 16662 17767 20268 24993 33324 35534 49986 53301 61367 71068 91769 99972 106602 122734 159903 183538 184101 213204 245468 275307 302693 319806 367076 368202 452651 550614 552303 605386 639612 736404 825921 905302 908079 1101228 1104606 1210772 1357953 1563451 1651842 1810604 1816158 2209212 2715906 2724237 3126902 3303684 3632316 4073859 4690353 5431812 5448474 6253804 8147718 9380706 10002821 10896948 14071059 16295436 18761412 20005642 28142118 30008463 40011284 49338959 56284236 60016926 90025389 98677918 120033852 148016877 170416159 180050778 197355836 254842513 296033754 340832318 360101556 444050631 509685026 511248477 592067508 681664636 764527539 888101262 1019370052 1022496954 1529055078 1533745431 1776202524 2044993908 2293582617 3058110156 3067490862 4587165234 6134981724 9174330468 27777833917 55555667834 83333501751 111111335668 166667003502 250000505253 333334007004 500001010506 1000002021012