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11242400320 = 265191849079
BaseRepresentation
bin10100111100001100…
…10110101001000000
31002000111120002222001
422132012112221000
5141011023302240
65055323353344
7545411553214
oct123606265100
932014502861
1011242400320
11484a050838
122219082854
1310a2208ba8
1478916c944
1545bec189a
hex29e196a40

11242400320 has 56 divisors (see below), whose sum is σ = 28179979200. Its totient is φ = 4260275712.

The previous prime is 11242400297. The next prime is 11242400321. The reversal of 11242400320 is 2300424211.

It is a super-2 number, since 2×112424003202 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (19).

It is not an unprimeable number, because it can be changed into a prime (11242400321) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 918460 + ... + 930619.

Almost surely, 211242400320 is an apocalyptic number.

11242400320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11242400320 is an abundant number, since it is smaller than the sum of its proper divisors (16937578880).

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

11242400320 is a wasteful number, since it uses less digits than its factorization.

11242400320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1849115 (or 1849105 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 19.

Adding to 11242400320 its reverse (2300424211), we get a palindrome (13542824531).

The spelling of 11242400320 in words is "eleven billion, two hundred forty-two million, four hundred thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 19 20 32 38 40 64 76 80 95 152 160 190 304 320 380 608 760 1216 1520 3040 6080 1849079 3698158 7396316 9245395 14792632 18490790 29585264 35132501 36981580 59170528 70265002 73963160 118341056 140530004 147926320 175662505 281060008 295852640 351325010 562120016 591705280 702650020 1124240032 1405300040 2248480064 2810600080 5621200160 11242400320