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1002221221110 = 235313729125871
BaseRepresentation
bin11101001010110010000…
…10100011010011110110
310112210220112001011000120
432211121002203103312
5112410022113033420
62044225234552410
7132256655551224
oct16453102432366
93483815034016
101002221221110
1135704882a21a
121422a1a38706
137368051a365
1436717449b14
151b10b775d40
hexe9590a34f6

1002221221110 has 64 divisors (see below), whose sum is σ = 2550028345344. Its totient is φ = 251647516800.

The previous prime is 1002221221081. The next prime is 1002221221117. The reversal of 1002221221110 is 111221222001.

1002221221110 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 Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 1002221221110.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1002221221117) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 14528526 + ... + 14597345.

It is an arithmetic number, because the mean of its divisors is an integer number (39844192896).

Almost surely, 21002221221110 is an apocalyptic number.

1002221221110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1002221221110 is an abundant number, since it is smaller than the sum of its proper divisors (1547807124234).

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

1002221221110 is a wasteful number, since it uses less digits than its factorization.

1002221221110 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29125949.

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 1002221221110 its reverse (111221222001), we get a palindrome (1113442443111).

The spelling of 1002221221110 in words is "one trillion, two billion, two hundred twenty-one million, two hundred twenty-one thousand, one hundred ten".

Divisors: 1 2 3 5 6 10 15 30 31 37 62 74 93 111 155 185 186 222 310 370 465 555 930 1110 1147 2294 3441 5735 6882 11470 17205 34410 29125871 58251742 87377613 145629355 174755226 291258710 436888065 873776130 902902001 1077657227 1805804002 2155314454 2708706003 3232971681 4514510005 5388286135 5417412006 6465943362 9029020010 10776572270 13543530015 16164858405 27087060030 32329716810 33407374037 66814748074 100222122111 167036870185 200444244222 334073740370 501110610555 1002221221110