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1002112219990 = 257791631111741
BaseRepresentation
bin11101001010100101000…
…10101111101101010110
310112210121220221022121001
432211102202233231112
5112404311212014430
62044210342413514
7132254163216550
oct16452242575526
93483556838531
101002112219990
11356aa2250052
1214227143129a
1373663a7485b
1436706b944d0
151b101de43ca
hexe9528afb56

1002112219990 has 64 divisors (see below), whose sum is σ = 2100391925760. Its totient is φ = 337150719360.

The previous prime is 1002112219987. The next prime is 1002112219991. The reversal of 1002112219990 is 999122112001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1002112219991) 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, 345520 + ... + 1457260.

It is an arithmetic number, because the mean of its divisors is an integer number (32818623840).

Almost surely, 21002112219990 is an apocalyptic number.

1002112219990 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1002112219990 is an abundant number, since it is smaller than the sum of its proper divisors (1098279705770).

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

1002112219990 is a wasteful number, since it uses less digits than its factorization.

1002112219990 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1111997.

The product of its (nonzero) digits is 5832, while the sum is 37.

The spelling of 1002112219990 in words is "one trillion, two billion, one hundred twelve million, two hundred nineteen thousand, nine hundred ninety".

Divisors: 1 2 5 7 10 14 35 70 79 158 163 326 395 553 790 815 1106 1141 1630 2282 2765 5530 5705 11410 12877 25754 64385 90139 128770 180278 450695 901390 1111741 2223482 5558705 7782187 11117410 15564374 38910935 77821870 87827539 175655078 181213783 362427566 439137695 614792773 878275390 906068915 1229585546 1268496481 1812137830 2536992962 3073963865 6147927730 6342482405 12684964810 14315888857 28631777714 71579444285 100211221999 143158888570 200422443998 501056109995 1002112219990