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11430312320 = 27572379851
BaseRepresentation
bin10101010010100110…
…01011100110000000
31002111121011000202202
422221103023212000
5141402124443240
65130115132332
7553153023500
oct125123134600
932447130682
1011430312320
114936127909
12226bba40a8
13110212011b
147a60c5a00
1546d73e315
hex2a94cb980

11430312320 has 192 divisors, whose sum is σ = 32649330960. Its totient is φ = 3812659200.

The previous prime is 11430312317. The next prime is 11430312367. The reversal of 11430312320 is 2321303411.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 11430312292 and 11430312301.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1155395 + ... + 1165245.

Almost surely, 211430312320 is an apocalyptic number.

11430312320 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 11430312320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16324665480).

11430312320 is an abundant number, since it is smaller than the sum of its proper divisors (21219018640).

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

11430312320 is an equidigital number, since it uses as much as digits as its factorization.

11430312320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9921 (or 9902 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 20.

Adding to 11430312320 its reverse (2321303411), we get a palindrome (13751615731).

The spelling of 11430312320 in words is "eleven billion, four hundred thirty million, three hundred twelve thousand, three hundred twenty".