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1002212221220 = 2257103491141551
BaseRepresentation
bin11101001010110001000…
…00001110000100100100
310112210212220002220111022
432211120200032010210
5112410012312034340
62044224314030312
7132256516215410
oct16453040160444
93483786086438
101002212221220
113570437424a1
1214229aa18398
137367b6b8a92
1436716185d40
151b10aa993b5
hexe95880e124

1002212221220 has 96 divisors (see below), whose sum is σ = 2433625399296. Its totient is φ = 339584112000.

The previous prime is 1002212221189. The next prime is 1002212221243. The reversal of 1002212221220 is 221222122001.

It is a happy 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, 7009445 + ... + 7150995.

It is an arithmetic number, because the mean of its divisors is an integer number (25350264576).

Almost surely, 21002212221220 is an apocalyptic number.

1002212221220 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 1002212221220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1216812699648).

1002212221220 is an abundant number, since it is smaller than the sum of its proper divisors (1431413178076).

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

1002212221220 is a wasteful number, since it uses less digits than its factorization.

1002212221220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 142161 (or 142159 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 17.

Adding to 1002212221220 its reverse (221222122001), we get a palindrome (1223434343221).

The spelling of 1002212221220 in words is "one trillion, two billion, two hundred twelve million, two hundred twenty-one thousand, two hundred twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 103 140 206 412 491 515 721 982 1030 1442 1964 2060 2455 2884 3437 3605 4910 6874 7210 9820 13748 14420 17185 34370 50573 68740 101146 141551 202292 252865 283102 354011 505730 566204 707755 708022 990857 1011460 1415510 1416044 1770055 1981714 2831020 3540110 3963428 4954285 7080220 9908570 14579753 19817140 29159506 58319012 69501541 72898765 102058271 139003082 145797530 204116542 278006164 291595060 347507705 408233084 486510787 510291355 695015410 973021574 1020582710 1390030820 1946043148 2041165420 2432553935 4865107870 7158658723 9730215740 14317317446 28634634892 35793293615 50110611061 71586587230 100221222122 143173174460 200442444244 250553055305 501106110610 1002212221220