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11132442360 = 23385132251
BaseRepresentation
bin10100101111000101…
…11001011011111000
31001201211122200000000
422113202321123320
5140244401123420
65040354513000
7542605125114
oct122742713370
931654580000
1011132442360
1147a2a78796
1221a8295760
1310854b9a00
14778708744
15452501690
hex2978b96f8

11132442360 has 432 divisors, whose sum is σ = 40844480040. Its totient is φ = 2729376000.

The previous prime is 11132442337. The next prime is 11132442371. The reversal of 11132442360 is 6324423111.

It is a happy number.

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

It is a congruent number.

It is an unprimeable number.

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 107 ways as a sum of consecutive naturals, for example, 44352235 + ... + 44352485.

Almost surely, 211132442360 is an apocalyptic number.

11132442360 is a gapful number since it is divisible by the number (10) 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 11132442360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20422240020).

11132442360 is an abundant number, since it is smaller than the sum of its proper divisors (29712037680).

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

11132442360 is an equidigital number, since it uses as much as digits as its factorization.

11132442360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 312 (or 274 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

Adding to 11132442360 its reverse (6324423111), we get a palindrome (17456865471).

The spelling of 11132442360 in words is "eleven billion, one hundred thirty-two million, four hundred forty-two thousand, three hundred sixty".