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2210100011130 = 2351153130396979
BaseRepresentation
bin100000001010010100001…
…110011110000001111010
321211021122200002021001210
4200022110032132001322
5242202241100324010
64411150025223550
7315450224063454
oct40122416360172
97737580067053
102210100011130
11782330925920
122b83ba031bb6
131305471b959b
1478d800c92d4
153c752eb7b20
hex2029439e07a

2210100011130 has 128 divisors (see below), whose sum is σ = 5900207339520. Its totient is φ = 525263880960.

The previous prime is 2210100011087. The next prime is 2210100011167. The reversal of 2210100011130 is 311100010122.

It is a super-2 number, since 2×22101000111302 (a number of 25 digits) contains 22 as substring.

It is a Curzon number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 22740981 + ... + 22837959.

It is an arithmetic number, because the mean of its divisors is an integer number (46095369840).

Almost surely, 22210100011130 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2210100011130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2950103669760).

2210100011130 is an abundant number, since it is smaller than the sum of its proper divisors (3690107328390).

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

2210100011130 is a wasteful number, since it uses less digits than its factorization.

2210100011130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 98356.

The product of its (nonzero) digits is 12, while the sum is 12.

Adding to 2210100011130 its reverse (311100010122), we get a palindrome (2521200021252).

The spelling of 2210100011130 in words is "two trillion, two hundred ten billion, one hundred million, eleven thousand, one hundred thirty".

Divisors: 1 2 3 5 6 10 11 15 22 30 33 53 55 66 106 110 159 165 265 318 330 530 583 795 1166 1303 1590 1749 2606 2915 3498 3909 5830 6515 7818 8745 13030 14333 17490 19545 28666 39090 42999 69059 71665 85998 96979 138118 143330 193958 207177 214995 290937 345295 414354 429990 484895 581874 690590 759649 969790 1035885 1066769 1454685 1519298 2071770 2133538 2278947 2909370 3200307 3798245 4557894 5139887 5333845 6400614 7596490 10279774 10667690 11394735 15419661 16001535 22789470 25699435 30839322 32003070 51398870 56538757 77098305 113077514 126363637 154196610 169616271 252727274 282693785 339232542 379090911 565387570 631818185 758181822 848081355 1263636370 1390000007 1696162710 1895454555 2780000014 3790909110 4170000021 6697272761 6950000035 8340000042 13394545522 13900000070 20091818283 20850000105 33486363805 40183636566 41700000210 66972727610 73670000371 100459091415 147340000742 200918182830 221010001113 368350001855 442020002226 736700003710 1105050005565 2210100011130