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11132301120 = 263511596147
BaseRepresentation
bin10100101111000100…
…10110111101000000
31001201211101111020220
422113202112331000
5140244332113440
65040351503040
7542603666253
oct122742267500
931654344226
1011132301120
1147a2991666
1221a8227a80
13108546a635
147786ad09a
154524c48d0
hex297896f40

11132301120 has 56 divisors (see below), whose sum is σ = 35345059104. Its totient is φ = 2968613376.

The previous prime is 11132301119. The next prime is 11132301121. The reversal of 11132301120 is 2110323111.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (11132301119) and next prime (11132301121).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 11132301120.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11132301121) 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, 5797114 + ... + 5799033.

Almost surely, 211132301120 is an apocalyptic number.

11132301120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11132301120 is an abundant number, since it is smaller than the sum of its proper divisors (24212757984).

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

11132301120 is a wasteful number, since it uses less digits than its factorization.

11132301120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11596167 (or 11596157 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 15.

Adding to 11132301120 its reverse (2110323111), we get a palindrome (13242624231).

The spelling of 11132301120 in words is "eleven billion, one hundred thirty-two million, three hundred one thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 160 192 240 320 480 960 11596147 23192294 34788441 46384588 57980735 69576882 92769176 115961470 139153764 173942205 185538352 231922940 278307528 347884410 371076704 463845880 556615056 695768820 742153408 927691760 1113230112 1391537640 1855383520 2226460224 2783075280 3710767040 5566150560 11132301120