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2013022002222 = 2327211586135401
BaseRepresentation
bin11101010010110001011…
…101100001110000101110
321010102221222001002210200
4131102301131201300232
5230440132113032342
64140434115414330
7265302363461100
oct35226135416056
97112858032720
102013022002222
117067994938a0
12286178bb43a6
13117a9a36a92a
146d606105570
153756b32894c
hex1d4b1761c2e

2013022002222 has 144 divisors (see below), whose sum is σ = 5535977554224. Its totient is φ = 522758880000.

The previous prime is 2013022002179. The next prime is 2013022002307. The reversal of 2013022002222 is 2222002203102.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 2013022002195 and 2013022002204.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 56845722 + ... + 56881122.

It is an arithmetic number, because the mean of its divisors is an integer number (38444288571).

Almost surely, 22013022002222 is an apocalyptic number.

2013022002222 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 2013022002222, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2767988777112).

2013022002222 is an abundant number, since it is smaller than the sum of its proper divisors (3522955552002).

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

2013022002222 is a wasteful number, since it uses less digits than its factorization.

2013022002222 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41295 (or 41285 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

Adding to 2013022002222 its reverse (2222002203102), we get a palindrome (4235024205324).

The spelling of 2013022002222 in words is "two trillion, thirteen billion, twenty-two million, two thousand, two hundred twenty-two".

Divisors: 1 2 3 6 7 9 11 14 18 21 22 33 42 49 63 66 77 98 99 126 147 154 198 231 294 441 462 539 693 882 1078 1386 1617 3234 4851 5861 9702 11722 17583 35166 35401 41027 52749 64471 70802 82054 105498 106203 123081 128942 193413 212406 246162 247807 287189 318609 369243 386826 389411 451297 495614 574378 580239 637218 738486 743421 778822 861567 902594 1160478 1168233 1353891 1486842 1723134 1734649 2230263 2336466 2584701 2707782 2725877 3159079 3469298 3504699 4061673 4460526 5169402 5203947 5451754 6318158 7009398 8123346 8177631 9477237 10407894 15611841 16355262 18954474 19081139 24532893 28431711 31223682 38162278 49065786 56863422 57243417 114486834 171730251 207485261 343460502 414970522 622455783 1244911566 1452396827 1867367349 2282337871 2904793654 3734734698 4357190481 4564675742 6847013613 8714380962 10166777789 13071571443 13694027226 15976365097 20333555578 20541040839 26143142886 30500333367 31952730194 41082081678 47929095291 61000666734 91501000101 95858190582 111834555679 143787285873 183002000202 223669111358 287574571746 335503667037 671007334074 1006511001111 2013022002222