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100222022001010 = 25713472343278513
BaseRepresentation
bin10110110010011011000010…
…000001010010000101110010
3111010212010120000212202222011
4112302123002001102011302
5101114014200113013020
6553053210012433134
730052542064046650
oct2662330201220562
9433763500782864
10100222022001010
1129a2aa14700708
12b2a78484787aa
1343bcb85a1b240
141aa6ab395ddd0
15b8c01126b35a
hex5b26c2052172

100222022001010 has 64 divisors (see below), whose sum is σ = 226754375242752. Its totient is φ = 31043753726976.

The previous prime is 100222022001001. The next prime is 100222022001037. The reversal of 100222022001010 is 10100220222001.

It is a happy number.

100222022001010 is digitally balanced in base 3, 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 (13).

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 1171596487 + ... + 1171682026.

It is an arithmetic number, because the mean of its divisors is an integer number (3543037113168).

Almost surely, 2100222022001010 is an apocalyptic number.

100222022001010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

100222022001010 is an abundant number, since it is smaller than the sum of its proper divisors (126532353241742).

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

100222022001010 is a wasteful number, since it uses less digits than its factorization.

100222022001010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2343278587.

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

Adding to 100222022001010 its reverse (10100220222001), we get a palindrome (110322242223011).

The spelling of 100222022001010 in words is "one hundred trillion, two hundred twenty-two billion, twenty-two million, one thousand, ten".

Divisors: 1 2 5 7 10 13 14 26 35 47 65 70 91 94 130 182 235 329 455 470 611 658 910 1222 1645 3055 3290 4277 6110 8554 21385 42770 2343278513 4686557026 11716392565 16402949591 23432785130 30462620669 32805899182 60925241338 82014747955 110134090111 152313103345 164029495910 213238344683 220268180222 304626206690 426476689366 550670450555 770938630777 1066191723415 1101340901110 1431743171443 1541877261554 2132383446830 2863486342886 3854693153885 7158715857215 7709386307770 10022202200101 14317431714430 20044404400202 50111011000505 100222022001010