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10221220200210 = 23523149440922549
BaseRepresentation
bin1001010010111101000000…
…1100101111111100010010
31100012010202102001210120220
42110233100030233330102
52314431024332401320
633423321433413510
72103313236125235
oct224572014577422
940163672053526
1010221220200210
113290882377768
121190b35b6a296
13591b1a89a086
142749d15a341c
1512ad2630de40
hex94bd032ff12

10221220200210 has 128 divisors (see below), whose sum is σ = 25776273600000. Its totient is φ = 2588951980032.

The previous prime is 10221220200203. The next prime is 10221220200313. The reversal of 10221220200210 is 1200202212201.

10221220200210 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 10221220200210.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 453278016 + ... + 453300564.

It is an arithmetic number, because the mean of its divisors is an integer number (201377137500).

Almost surely, 210221220200210 is an apocalyptic number.

10221220200210 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 10221220200210, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12888136800000).

10221220200210 is an abundant number, since it is smaller than the sum of its proper divisors (15555053399790).

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

10221220200210 is a wasteful number, since it uses less digits than its factorization.

10221220200210 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27140.

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

Adding to 10221220200210 its reverse (1200202212201), we get a palindrome (11421422412411).

The spelling of 10221220200210 in words is "ten trillion, two hundred twenty-one billion, two hundred twenty million, two hundred thousand, two hundred ten".

Divisors: 1 2 3 5 6 10 15 23 30 46 69 115 138 149 230 298 345 447 690 745 894 1490 2235 3427 4409 4470 6854 8818 10281 13227 17135 20562 22045 22549 26454 34270 44090 45098 51405 66135 67647 101407 102810 112745 132270 135294 202814 225490 304221 338235 507035 518627 608442 656941 676470 1014070 1037254 1313882 1521105 1555881 1970823 2593135 3042210 3111762 3284705 3359801 3941646 5186270 6569410 6719602 7779405 9854115 10079403 15109643 15558810 16799005 19708230 20158806 30219286 33598010 45328929 50397015 75548215 77275423 90657858 99418541 100794030 151096430 154550846 198837082 226644645 231826269 298255623 386377115 453289290 463652538 497092705 596511246 772754230 994185410 1159131345 1491278115 2286626443 2318262690 2982556230 4573252886 6859879329 11433132215 13719758658 14813362609 22866264430 29626725218 34299396645 44440087827 68598793290 74066813045 88880175654 148133626090 222200439135 340707340007 444400878270 681414680014 1022122020021 1703536700035 2044244040042 3407073400070 5110610100105 10221220200210