Search a number
-
+
1133010213132 = 2237174367275399
BaseRepresentation
bin10000011111001100101…
…010111101100100001100
311000022111102121100020010
4100133030222331210030
5122030401103310012
62224255300553220
7144600022623660
oct20371452754414
94008442540203
101133010213132
113a7563800776
121637029b2810
1382ac49bc475
143cba36168a0
151e7139d9c3c
hex107ccabd90c

1133010213132 has 192 divisors, whose sum is σ = 3322355097600. Its totient is φ = 293146850304.

The previous prime is 1133010213119. The next prime is 1133010213133. The reversal of 1133010213132 is 2313120103311.

It is a happy number.

It is a super-2 number, since 2×11330102131322 (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 = 1133010213099 and 1133010213108.

It is not an unprimeable number, because it can be changed into a prime (1133010213133) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3976369 + ... + 4251767.

It is an arithmetic number, because the mean of its divisors is an integer number (17303932800).

Almost surely, 21133010213132 is an apocalyptic number.

1133010213132 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 1133010213132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1661177548800).

1133010213132 is an abundant number, since it is smaller than the sum of its proper divisors (2189344884468).

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

1133010213132 is a wasteful number, since it uses less digits than its factorization.

1133010213132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 275540 (or 275538 counting only the distinct ones).

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

Adding to 1133010213132 its reverse (2313120103311), we get a palindrome (3446130316443).

The spelling of 1133010213132 in words is "one trillion, one hundred thirty-three billion, ten million, two hundred thirteen thousand, one hundred thirty-two".