Search a number
-
+
11737021230 = 23351129237127
BaseRepresentation
bin10101110111001010…
…01011101100101110
31010021222021110022000
422323211023230232
5143014134134410
65220353033130
7563566014534
oct127345135456
933258243260
1011737021230
114a83273850
1223368557a6
13115082979c
147d4b24154
1548a625dc0
hex2bb94bb2e

11737021230 has 384 divisors, whose sum is σ = 36603740160. Its totient is φ = 2651927040.

The previous prime is 11737021213. The next prime is 11737021237. The reversal of 11737021230 is 3212073711.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 11737021194 and 11737021203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11737021237) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 92417427 + ... + 92417553.

It is an arithmetic number, because the mean of its divisors is an integer number (95322240).

Almost surely, 211737021230 is an apocalyptic number.

11737021230 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 11737021230, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18301870080).

11737021230 is an abundant number, since it is smaller than the sum of its proper divisors (24866718930).

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

11737021230 is a wasteful number, since it uses less digits than its factorization.

11737021230 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 249 (or 214 counting only the distinct ones).

The product of its (nonzero) digits is 1764, while the sum is 27.

Adding to 11737021230 its reverse (3212073711), we get a palindrome (14949094941).

The spelling of 11737021230 in words is "eleven billion, seven hundred thirty-seven million, twenty-one thousand, two hundred thirty".