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11213403432 = 233721119431061
BaseRepresentation
bin10100111000101111…
…01111010100101000
31001221110222220201020
422130113233110220
5140431112402212
65052410052440
7544610233200
oct123427572450
931843886636
1011213403432
114834745a70
12220b41a120
1310991c567a
14785381400
15459694d8c
hex29c5ef528

11213403432 has 384 divisors, whose sum is σ = 38354342400. Its totient is φ = 2692569600.

The previous prime is 11213403427. The next prime is 11213403437. The reversal of 11213403432 is 23430431211.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (11213403427) and next prime (11213403437).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (11213403437) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 10568182 + ... + 10569242.

It is an arithmetic number, because the mean of its divisors is an integer number (99881100).

Almost surely, 211213403432 is an apocalyptic number.

11213403432 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 11213403432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19177171200).

11213403432 is an abundant number, since it is smaller than the sum of its proper divisors (27140938968).

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

11213403432 is a wasteful number, since it uses less digits than its factorization.

11213403432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1157 (or 1146 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 11213403432 its reverse (23430431211), we get a palindrome (34643834643).

The spelling of 11213403432 in words is "eleven billion, two hundred thirteen million, four hundred three thousand, four hundred thirty-two".