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2222012101000 = 23533735957137
BaseRepresentation
bin100000010101011010001…
…111011111000110001000
321212102101211210010101111
4200111122033133012020
5242401140044213000
64420440034500104
7316351350140446
oct40253217370610
97772354703344
102222012101000
117873939a329a
122ba783434634
131316c5081483
1479790181b96
153cbedb70cba
hex2055a3df188

2222012101000 has 64 divisors (see below), whose sum is σ = 5213448892080. Its totient is φ = 886421836800.

The previous prime is 2222012100961. The next prime is 2222012101003. The reversal of 2222012101000 is 1012102222.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 31842974916 + 2190169126084 = 178446^2 + 1479922^2 .

It is not an unprimeable number, because it can be changed into a prime (2222012101003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2605569 + ... + 3351568.

Almost surely, 22222012101000 is an apocalyptic number.

2222012101000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2222012101000 is an abundant number, since it is smaller than the sum of its proper divisors (2991436791080).

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

2222012101000 is a wasteful number, since it uses less digits than its factorization.

2222012101000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5957531 (or 5957517 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 2222012101000 its reverse (1012102222), we get a palindrome (2223024203222).

The spelling of 2222012101000 in words is "two trillion, two hundred twenty-two billion, twelve million, one hundred one thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 125 200 250 373 500 746 1000 1492 1865 2984 3730 7460 9325 14920 18650 37300 46625 74600 93250 186500 373000 5957137 11914274 23828548 29785685 47657096 59571370 119142740 148928425 238285480 297856850 595713700 744642125 1191427400 1489284250 2222012101 2978568500 4444024202 5957137000 8888048404 11110060505 17776096808 22220121010 44440242020 55550302525 88880484040 111100605050 222201210100 277751512625 444402420200 555503025250 1111006050500 2222012101000