Search a number
-
+
1103032597632 = 27377326920897
BaseRepresentation
bin10000000011010001110…
…111011011110010000000
310220110010020102200121120
4100003101313123302000
5121033002321111012
62202420504352240
7142456114245030
oct20032167336200
93813106380546
101103032597632
11395880166529
12159937475680
1380028163c44
143b55c1578c0
151da5bd3358c
hex100d1ddbc80

1103032597632 has 256 divisors, whose sum is σ = 3407143046400. Its totient is φ = 309664677888.

The previous prime is 1103032597561. The next prime is 1103032597651. The reversal of 1103032597632 is 2367952303011.

It is a super-2 number, since 2×11030325976322 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

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 31 ways as a sum of consecutive naturals, for example, 52773808 + ... + 52794704.

It is an arithmetic number, because the mean of its divisors is an integer number (13309152525).

Almost surely, 21103032597632 is an apocalyptic number.

1103032597632 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1103032597632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1703571523200).

1103032597632 is an abundant number, since it is smaller than the sum of its proper divisors (2304110448768).

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

1103032597632 is a wasteful number, since it uses less digits than its factorization.

1103032597632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21263 (or 21251 counting only the distinct ones).

The product of its (nonzero) digits is 204120, while the sum is 42.

The spelling of 1103032597632 in words is "one trillion, one hundred three billion, thirty-two million, five hundred ninety-seven thousand, six hundred thirty-two".