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1002212012220 = 223541631645647
BaseRepresentation
bin11101001010110000111…
…11011011000010111100
310112210212212201021210120
432211120133123002330
5112410012233342340
62044224305334540
7132256514355156
oct16453037330274
93483785637716
101002212012220
1135704360a471
1214229a937450
137367b644903
143671612dad6
151b10aa574d0
hexe9587db0bc

1002212012220 has 96 divisors (see below), whose sum is σ = 2879197526016. Its totient is φ = 260324467200.

The previous prime is 1002212012183. The next prime is 1002212012251. The reversal of 1002212012220 is 222102122001.

It is a super-2 number, since 2×10022120122202 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 1002212012220.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1229437 + ... + 1875083.

It is an arithmetic number, because the mean of its divisors is an integer number (29991640896).

Almost surely, 21002212012220 is an apocalyptic number.

1002212012220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1002212012220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1439598763008).

1002212012220 is an abundant number, since it is smaller than the sum of its proper divisors (1876985513796).

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

1002212012220 is a wasteful number, since it uses less digits than its factorization.

1002212012220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 646331 (or 646329 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 1002212012220 its reverse (222102122001), we get a palindrome (1224314134221).

The spelling of 1002212012220 in words is "one trillion, two billion, two hundred twelve million, twelve thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 41 60 82 123 164 205 246 410 492 615 631 820 1230 1262 1893 2460 2524 3155 3786 6310 7572 9465 12620 18930 25871 37860 51742 77613 103484 129355 155226 258710 310452 388065 517420 645647 776130 1291294 1552260 1936941 2582588 3228235 3873882 6456470 7747764 9684705 12912940 19369410 26471527 38738820 52943054 79414581 105886108 132357635 158829162 264715270 317658324 397072905 407403257 529430540 794145810 814806514 1222209771 1588291620 1629613028 2037016285 2444419542 4074032570 4888839084 6111048855 8148065140 12222097710 16703533537 24444195420 33407067074 50110600611 66814134148 83517667685 100221201222 167035335370 200442402444 250553003055 334070670740 501106006110 1002212012220