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2002311023310 = 2335135312784751
BaseRepresentation
bin11101001000110011000…
…010011000101011001110
321002102022111102222222000
4131020303002120223032
5230301213110221220
64131503214133130
7264443063610243
oct35106302305316
97072274388860
102002311023310
117021a2410904
12284089ab11a6
13116a81298aa0
146ccab78b5ca
1537140d2a390
hex1d233098ace

2002311023310 has 256 divisors, whose sum is σ = 5904922705920. Its totient is φ = 479763648000.

The previous prime is 2002311023309. The next prime is 2002311023399. The reversal of 2002311023310 is 133201132002.

2002311023310 is a `hidden beast` number, since 2 + 0 + 0 + 231 + 102 + 331 + 0 = 666.

It is a super-2 number, since 2×20023110233102 (a number of 25 digits) contains 22 as substring.

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

It is a congruent number.

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 127 ways as a sum of consecutive naturals, for example, 23583435 + ... + 23668185.

It is an arithmetic number, because the mean of its divisors is an integer number (23066104320).

Almost surely, 22002311023310 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2002311023310, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2952461352960).

2002311023310 is an abundant number, since it is smaller than the sum of its proper divisors (3902611682610).

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

2002311023310 is a wasteful number, since it uses less digits than its factorization.

2002311023310 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84960 (or 84954 counting only the distinct ones).

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

Adding to 2002311023310 its reverse (133201132002), we get a palindrome (2135512155312).

The spelling of 2002311023310 in words is "two trillion, two billion, three hundred eleven million, twenty-three thousand, three hundred ten".