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2200102022104 = 237617112317369
BaseRepresentation
bin100000000001000000010…
…011001010101111011000
321210022211220002210110221
4200001000103022233120
5242021302104201404
64402413553445424
7314644402425430
oct40010023125730
97708756083427
102200102022104
11779070264778
122b6489870874
1312c612a5454c
14786b232b2c0
153c36a3a5954
hex200404cabd8

2200102022104 has 128 divisors (see below), whose sum is σ = 4863888691200. Its totient is φ = 913514112000.

The previous prime is 2200102022099. The next prime is 2200102022113. The reversal of 2200102022104 is 4012202010022.

It is a super-2 number, since 2×22001020221042 (a number of 25 digits) contains 22 as substring.

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, 298558132 + ... + 298565500.

It is an arithmetic number, because the mean of its divisors is an integer number (37999130400).

Almost surely, 22200102022104 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 2200102022104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2431944345600).

2200102022104 is an abundant number, since it is smaller than the sum of its proper divisors (2663786669096).

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

2200102022104 is a wasteful number, since it uses less digits than its factorization.

2200102022104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8745 (or 8741 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

Adding to 2200102022104 its reverse (4012202010022), we get a palindrome (6212304032126).

The spelling of 2200102022104 in words is "two trillion, two hundred billion, one hundred two million, twenty-two thousand, one hundred four".

Divisors: 1 2 4 7 8 14 28 56 61 71 122 142 244 284 427 488 497 568 854 994 1231 1708 1988 2462 3416 3976 4331 4924 7369 8617 8662 9848 14738 17234 17324 29476 30317 34468 34648 51583 58952 60634 68936 75091 87401 103166 121268 150182 174802 206332 242536 300364 349604 412664 449509 523199 525637 600728 611807 699208 899018 1046398 1051274 1223614 1798036 2092796 2102548 2447228 3146563 3596072 3662393 4185592 4205096 4894456 5331461 6293126 7324786 9071239 10662922 12586252 14649572 18142478 21325844 25172504 29299144 31915139 36284956 37320227 42651688 63498673 63830278 72569912 74640454 126997346 127660556 149280908 223405973 253994692 255321112 298561816 446811946 507989384 553345579 644057969 893623892 1106691158 1288115938 1787247784 2213382316 2576231876 3873419053 4426764632 4508405783 5152463752 7746838106 9016811566 15493676212 18033623132 30987352424 36067246264 39287536109 78575072218 157150144436 275012752763 314300288872 550025505526 1100051011052 2200102022104