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1001001112002 = 232532773787969
BaseRepresentation
bin11101001000100000101…
…00001101000111000010
310112200202111012011222100
432210100110031013002
5112400022241041002
62043504211451230
7132214512030633
oct16442024150702
93480674164870
101001001112002
11356582039191
121420012b6b16
1373517804bc8
143663d3a388a
151b0895b711c
hexe91050d1c2

1001001112002 has 48 divisors (see below), whose sum is σ = 2217735219960. Its totient is φ = 326189500416.

The previous prime is 1001001111991. The next prime is 1001001112019. The reversal of 1001001112002 is 2002111001001.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 499154967081 + 501846144921 = 706509^2 + 708411^2 .

It is a Harshad number since it is a multiple of its sum of digits (9).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1629727 + ... + 2158242.

Almost surely, 21001001112002 is an apocalyptic number.

1001001112002 is an abundant number, since it is smaller than the sum of its proper divisors (1216734107958).

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

1001001112002 is a wasteful number, since it uses less digits than its factorization.

1001001112002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3788307 (or 3788304 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 1001001112002 its reverse (2002111001001), we get a palindrome (3003112113003).

The spelling of 1001001112002 in words is "one trillion, one billion, one million, one hundred twelve thousand, two".

Divisors: 1 2 3 6 9 18 53 106 159 277 318 477 554 831 954 1662 2493 4986 14681 29362 44043 88086 132129 264258 3787969 7575938 11363907 22727814 34091721 68183442 200762357 401524714 602287071 1049267413 1204574142 1806861213 2098534826 3147802239 3613722426 6295604478 9443406717 18886813434 55611172889 111222345778 166833518667 333667037334 500500556001 1001001112002