Search a number
-
+
2010003301332 = 2235132331223099
BaseRepresentation
bin11101001111111101100…
…010000110001111010100
321010011011120211012200000
4131033331202012033110
5230412441321120312
64135214402251300
7265134520106625
oct35177542061724
97104146735600
102010003301332
1170548a510174
12285676056b30
13117708b393a0
146d3db231a4c
15374412ddadc
hex1d3fd8863d4

2010003301332 has 288 divisors, whose sum is σ = 6112069017600. Its totient is φ = 572487315840.

The previous prime is 2010003301247. The next prime is 2010003301349. The reversal of 2010003301332 is 2331033000102.

2010003301332 is a `hidden beast` number, since 2 + 0 + 1 + 0 + 0 + 0 + 330 + 1 + 332 = 666.

It is a super-2 number, since 2×20100033013322 (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 (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 8897919 + ... + 9121017.

Almost surely, 22010003301332 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2010003301332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3056034508800).

2010003301332 is an abundant number, since it is smaller than the sum of its proper divisors (4102065716268).

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

2010003301332 is a wasteful number, since it uses less digits than its factorization.

2010003301332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 223185 (or 223171 counting only the distinct ones).

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

Adding to 2010003301332 its reverse (2331033000102), we get a palindrome (4341036301434).

The spelling of 2010003301332 in words is "two trillion, ten billion, three million, three hundred one thousand, three hundred thirty-two".