Search a number
-
+
1133103012132 = 223731337356773
BaseRepresentation
bin10000011111010010001…
…100111101100100100100
311000022201220020000112010
4100133102030331210210
5122031043332342012
62224312413554220
7144602230455000
oct20372214754444
94008656200463
101133103012132
113a7601123a63
12163729aa5970
1382b0acb1410
143cbb1a91700
151e71bc1ac3c
hex107d233d924

1133103012132 has 192 divisors, whose sum is σ = 3329409036800. Its totient is φ = 298033924608.

The previous prime is 1133103012131. The next prime is 1133103012143. The reversal of 1133103012132 is 2312103013311.

It is a happy number.

It is a super-2 number, since 2×11331030121322 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 1133103012099 and 1133103012108.

It is not an unprimeable number, because it can be changed into a prime (1133103012131) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 19930098 + ... + 19986870.

Almost surely, 21133103012132 is an apocalyptic number.

1133103012132 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 1133103012132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1664704518400).

1133103012132 is an abundant number, since it is smaller than the sum of its proper divisors (2196306024668).

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

1133103012132 is a wasteful number, since it uses less digits than its factorization.

1133103012132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57187 (or 57171 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 21.

Adding to 1133103012132 its reverse (2312103013311), we get a palindrome (3445206025443).

The spelling of 1133103012132 in words is "one trillion, one hundred thirty-three billion, one hundred three million, twelve thousand, one hundred thirty-two".