Search a number
-
+
1130110132032 = 26337577161921
BaseRepresentation
bin10000011100011111110…
…100000001111101000000
311000001000022120221212000
4100130133310001331000
5122003431143211112
62223055422104000
7144435116425020
oct20343764017500
94001008527760
101130110132032
113a6305786932
1216303371b000
1382751c2084b
143c9aa3bda80
151e5e40d17dc
hex1071fd01f40

1130110132032 has 224 divisors, whose sum is σ = 3803534826240. Its totient is φ = 322327019520.

The previous prime is 1130110132007. The next prime is 1130110132051. The reversal of 1130110132032 is 2302310110311.

1130110132032 is a `hidden beast` number, since 1 + 1 + 301 + 10 + 1 + 320 + 32 = 666.

It is a tau number, because it is divible by the number of its divisors (224).

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

It is a junction number, because it is equal to n+sod(n) for n = 1130110131996 and 1130110132014.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6898432 + ... + 7060352.

Almost surely, 21130110132032 is an apocalyptic number.

1130110132032 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 1130110132032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1901767413120).

1130110132032 is an abundant number, since it is smaller than the sum of its proper divisors (2673424694208).

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

1130110132032 is a wasteful number, since it uses less digits than its factorization.

1130110132032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 162526 (or 162510 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 1130110132032 its reverse (2302310110311), we get a palindrome (3432420242343).

The spelling of 1130110132032 in words is "one trillion, one hundred thirty billion, one hundred ten million, one hundred thirty-two thousand, thirty-two".