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1002221211012 = 223738331151971
BaseRepresentation
bin11101001010110010000…
…10100000110110000100
310112210220112000122011120
432211121002200312010
5112410022112223022
62044225234433540
7132256655506620
oct16453102406604
93483815018146
101002221211012
1135704882267a
121422a1a328b0
1373680515898
1436717446180
151b10b772d5c
hexe9590a0d84

1002221211012 has 48 divisors (see below), whose sum is σ = 2679568023552. Its totient is φ = 285601260960.

The previous prime is 1002221210983. The next prime is 1002221211023. The reversal of 1002221211012 is 2101121222001.

It is a junction number, because it is equal to n+sod(n) for n = 1002221210982 and 1002221211000.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15543814 + ... + 15608157.

It is an arithmetic number, because the mean of its divisors is an integer number (55824333824).

Almost surely, 21002221211012 is an apocalyptic number.

1002221211012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1002221211012 is an abundant number, since it is smaller than the sum of its proper divisors (1677346812540).

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

1002221211012 is a wasteful number, since it uses less digits than its factorization.

1002221211012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31152368 (or 31152366 counting only the distinct ones).

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

Adding to 1002221211012 its reverse (2101121222001), we get a palindrome (3103342433013).

The spelling of 1002221211012 in words is "one trillion, two billion, two hundred twenty-one million, two hundred eleven thousand, twelve".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 84 383 766 1149 1532 2298 2681 4596 5362 8043 10724 16086 32172 31151971 62303942 93455913 124607884 186911826 218063797 373823652 436127594 654191391 872255188 1308382782 2616765564 11931204893 23862409786 35793614679 47724819572 71587229358 83518434251 143174458716 167036868502 250555302753 334073737004 501110605506 1002221211012