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100200211002 = 234976376493
BaseRepresentation
bin101110101010001100…
…1011110001000111010
3100120122010101010010000
41131110121132020322
53120202223223002
6114010434133430
710145024512023
oct1352431361072
9316563333100
10100200211002
1139549452641
1217504a21276
1395ab13baa8
144bc7899c4a
152916ad661c
hex175465e23a

100200211002 has 40 divisors (see below), whose sum is σ = 226837397556. Its totient is φ = 33055734528.

The previous prime is 100200210991. The next prime is 100200211009. The reversal of 100200211002 is 200112002001.

It can be written as a sum of positive squares in 2 ways, for example, as 100196938521 + 3272481 = 316539^2 + 1809^2 .

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

It is not an unprimeable number, because it can be changed into a prime (100200211009) by changing a digit.

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 19 ways as a sum of consecutive naturals, for example, 3172533 + ... + 3203960.

Almost surely, 2100200211002 is an apocalyptic number.

100200211002 is an abundant number, since it is smaller than the sum of its proper divisors (126637186554).

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

100200211002 is an equidigital number, since it uses as much as digits as its factorization.

100200211002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6376604 (or 6376595 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 100200211002 its reverse (200112002001), we get a palindrome (300312213003).

The spelling of 100200211002 in words is "one hundred billion, two hundred million, two hundred eleven thousand, two".

Divisors: 1 2 3 6 9 18 27 54 81 97 162 194 291 582 873 1746 2619 5238 7857 15714 6376493 12752986 19129479 38258958 57388437 114776874 172165311 344330622 516495933 618519821 1032991866 1237039642 1855559463 3711118926 5566678389 11133356778 16700035167 33400070334 50100105501 100200211002