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1002022000122 = 2311135357738189
BaseRepresentation
bin11101001010011010010…
…10100101010111111010
310112210101122011200012110
432211031022211113322
5112404120113000442
62044153400553150
7132252016320063
oct16451512452772
93483348150173
101002022000122
11356a56329580
121422471827b6
137364b176810
14366d8bcb56a
151b0e902269c
hexe94d2a55fa

1002022000122 has 128 divisors (see below), whose sum is σ = 2403044340480. Its totient is φ = 274513674240.

The previous prime is 1002022000093. The next prime is 1002022000141. The reversal of 1002022000122 is 2210002202001.

It is a junction number, because it is equal to n+sod(n) for n = 1002022000098 and 1002022000107.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 26219404 + ... + 26257592.

It is an arithmetic number, because the mean of its divisors is an integer number (18773783910).

Almost surely, 21002022000122 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1002022000122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1201522170240).

1002022000122 is an abundant number, since it is smaller than the sum of its proper divisors (1401022340358).

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

1002022000122 is a wasteful number, since it uses less digits than its factorization.

1002022000122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38848.

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

Adding to 1002022000122 its reverse (2210002202001), we get a palindrome (3212024202123).

The spelling of 1002022000122 in words is "one trillion, two billion, twenty-two million, one hundred twenty-two", and thus it is an aban number.

Divisors: 1 2 3 6 11 13 22 26 33 39 53 66 78 106 143 159 286 318 429 577 583 689 858 1154 1166 1378 1731 1749 2067 3462 3498 4134 6347 7501 7579 12694 15002 15158 19041 22503 22737 30581 38082 38189 45006 45474 61162 76378 82511 91743 114567 165022 183486 229134 247533 336391 397553 420079 495066 496457 672782 795106 840158 992914 1009173 1192659 1260237 1489371 2018346 2024017 2385318 2520474 2978742 4048034 4373083 5461027 6072051 8746166 10922054 12144102 13119249 16383081 22035053 22264187 26238498 26312221 32766162 44070106 44528374 52624442 66105159 66792561 78936663 132210318 133585122 157873326 242385583 286455689 289434431 484771166 572911378 578868862 727156749 859367067 868303293 1167857809 1454313498 1718734134 1736606586 2335715618 3151012579 3503573427 6302025158 7007146854 9453037737 12846435899 15182151517 18906075474 25692871798 30364303034 38539307697 45546454551 77078615394 91092909102 167003666687 334007333374 501011000061 1002022000122