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1001103320232 = 233241339127141
BaseRepresentation
bin11101001000101100110…
…10000110010010101000
310112201000121111220022100
432210112122012102220
5112400224422221412
62043522302253400
7132220162551051
oct16442632062250
93481017456270
101001103320232
113566247a87a4
1214202b587260
1373532a3c852
143664cbab728
151b093555edc
hexe9166864a8

1001103320232 has 48 divisors (see below), whose sum is σ = 2777451292980. Its totient is φ = 325562054400.

The previous prime is 1001103320177. The next prime is 1001103320297. The reversal of 1001103320232 is 2320233011001.

1001103320232 is a `hidden beast` number, since 1 + 0 + 0 + 110 + 3 + 320 + 232 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 686389052196 + 314714268036 = 828486^2 + 560994^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 169560619 + ... + 169566522.

Almost surely, 21001103320232 is an apocalyptic number.

1001103320232 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1001103320232 is an abundant number, since it is smaller than the sum of its proper divisors (1776347972748).

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

1001103320232 is a wasteful number, since it uses less digits than its factorization.

1001103320232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 339127194 (or 339127187 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 1001103320232 its reverse (2320233011001), we get a palindrome (3321336331233).

The spelling of 1001103320232 in words is "one trillion, one billion, one hundred three million, three hundred twenty thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 41 72 82 123 164 246 328 369 492 738 984 1476 2952 339127141 678254282 1017381423 1356508564 2034762846 2713017128 3052144269 4069525692 6104288538 8139051384 12208577076 13904212781 24417154152 27808425562 41712638343 55616851124 83425276686 111233702248 125137915029 166850553372 250275830058 333701106744 500551660116 1001103320232