Search a number
-
+
1131002303310 = 23251118128322303
BaseRepresentation
bin10000011101010100111…
…111011001001101001110
311000010022111100221202200
4100131110333121031032
5122012243042201220
62223324132302330
7144466201646325
oct20352477311516
94003274327680
101131002303310
113a6723351370
121632424719a6
1382864a05a49
143ca52a9d0bc
151e6475b3890
hex10754fd934e

1131002303310 has 192 divisors, whose sum is σ = 3237200418816. Its totient is φ = 271691884800.

The previous prime is 1131002303297. The next prime is 1131002303341. The reversal of 1131002303310 is 133032001311.

It is a happy number.

1131002303310 is a `hidden beast` number, since 1 + 1 + 3 + 100 + 230 + 331 + 0 = 666.

It is a super-2 number, since 2×11310023033102 (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 polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 50699619 + ... + 50721921.

It is an arithmetic number, because the mean of its divisors is an integer number (16860418848).

Almost surely, 21131002303310 is an apocalyptic number.

1131002303310 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1131002303310, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1618600209408).

1131002303310 is an abundant number, since it is smaller than the sum of its proper divisors (2106198115506).

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

1131002303310 is a wasteful number, since it uses less digits than its factorization.

1131002303310 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22791 (or 22788 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

Adding to 1131002303310 its reverse (133032001311), we get a palindrome (1264034304621).

The spelling of 1131002303310 in words is "one trillion, one hundred thirty-one billion, two million, three hundred three thousand, three hundred ten".