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100121000222012 = 22711616438287693
BaseRepresentation
bin10110110000111100111100…
…101001110001110100111100
3111010111110210122120200102212
4112300330330221301310330
5101110340302024101022
6552534541425235552
730042334502101640
oct2660747451616474
9433443718520385
10100121000222012
11299a1094526960
12b290154492bb8
1343b34a6617553
141aa1c4cd22c20
15b8959c49c3e2
hex5b0f3ca71d3c

100121000222012 has 96 divisors (see below), whose sum is σ = 222372222933504. Its totient is φ = 38309027500800.

The previous prime is 100121000222003. The next prime is 100121000222041. The reversal of 100121000222012 is 210222000121001.

It is a super-2 number, since 2×1001210002220122 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (14).

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, 7936838 + ... + 16224530.

It is an arithmetic number, because the mean of its divisors is an integer number (2316377322224).

Almost surely, 2100121000222012 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100121000222012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111186111466752).

100121000222012 is an abundant number, since it is smaller than the sum of its proper divisors (122251222711492).

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

100121000222012 is a wasteful number, since it uses less digits than its factorization.

100121000222012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8288419 (or 8288417 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 100121000222012 its reverse (210222000121001), we get a palindrome (310343000343013).

The spelling of 100121000222012 in words is "one hundred trillion, one hundred twenty-one billion, two hundred twenty-two thousand, twelve".

Divisors: 1 2 4 7 11 14 22 28 44 61 77 122 154 244 308 427 643 671 854 1286 1342 1708 2572 2684 4501 4697 7073 9002 9394 14146 18004 18788 28292 39223 49511 78446 99022 156892 198044 274561 431453 549122 862906 1098244 1725812 3020171 6040342 8287693 12080684 16575386 33150772 58013851 91164623 116027702 182329246 232055404 364658492 505549273 638152361 1011098546 1276304722 2022197092 2552609444 3538844911 5328986599 5561042003 7077689822 10657973198 11122084006 14155379644 21315946396 22244168012 37302906193 38927294021 58618852589 74605812386 77854588042 117237705178 149211624772 155709176084 234475410356 325068182539 410331968123 650136365078 820663936246 1300272730156 1641327872492 2275477277773 3575750007929 4550954555546 7151500015858 9101909111092 14303000031716 25030250055503 50060500111006 100121000222012