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1000130333202 = 23271113376722391
BaseRepresentation
bin11101000110111000110…
…10011100101000010010
310112121111210200001000200
432203130122130220102
5112341231331130302
62043241544000030
7132154106365140
oct16433432345022
93477453601020
101000130333202
11356175555190
121419b9760016
137340929cb90
1436599892590
151b037e0d81c
hexe8dc69ca12

1000130333202 has 384 divisors, whose sum is σ = 3032838402048. Its totient is φ = 229818124800.

The previous prime is 1000130333171. The next prime is 1000130333281. The reversal of 1000130333202 is 2023330310001.

1000130333202 is a `hidden beast` number, since 1 + 0 + 0 + 0 + 130 + 333 + 202 = 666.

It is a super-3 number, since 3×10001303332023 (a number of 37 digits) contains 333 as substring.

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 (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 44655427 + ... + 44677817.

It is an arithmetic number, because the mean of its divisors is an integer number (7898016672).

Almost surely, 21000130333202 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1000130333202, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1516419201024).

1000130333202 is an abundant number, since it is smaller than the sum of its proper divisors (2032708068846).

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

1000130333202 is a wasteful number, since it uses less digits than its factorization.

1000130333202 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22534 (or 22531 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

Adding to 1000130333202 its reverse (2023330310001), we get a palindrome (3023460643203).

The spelling of 1000130333202 in words is "one trillion, one hundred thirty million, three hundred thirty-three thousand, two hundred two".