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1132111242312 = 233131853422141
BaseRepresentation
bin10000011110010111000…
…101101010010001001000
311000020011210000220002120
4100132113011222101020
5122022030434223222
62224030144531240
7144535525532541
oct20362705522110
94006153026076
101132111242312
113a7142311686
121634b1920b20
13829b069637b
143cb1a0874c8
151e6aeb1315c
hex1079716a448

1132111242312 has 64 divisors (see below), whose sum is σ = 2855233402560. Its totient is φ = 374049811200.

The previous prime is 1132111242263. The next prime is 1132111242349. The reversal of 1132111242312 is 2132421112311.

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

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2470762 + ... + 2892902.

It is an arithmetic number, because the mean of its divisors is an integer number (44613021915).

Almost surely, 21132111242312 is an apocalyptic number.

1132111242312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1132111242312 is an abundant number, since it is smaller than the sum of its proper divisors (1723122160248).

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

1132111242312 is a wasteful number, since it uses less digits than its factorization.

1132111242312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 423134 (or 423130 counting only the distinct ones).

The product of its digits is 576, while the sum is 24.

Adding to 1132111242312 its reverse (2132421112311), we get a palindrome (3264532354623).

The spelling of 1132111242312 in words is "one trillion, one hundred thirty-two billion, one hundred eleven million, two hundred forty-two thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 12 24 131 262 393 524 786 853 1048 1572 1706 2559 3144 3412 5118 6824 10236 20472 111743 223486 335229 422141 446972 670458 844282 893944 1266423 1340916 1688564 2532846 2681832 3377128 5065692 10131384 55300471 110600942 165901413 221201884 331802826 360086273 442403768 663605652 720172546 1080258819 1327211304 1440345092 2160517638 2880690184 4321035276 8642070552 47171301763 94342603526 141513905289 188685207052 283027810578 377370414104 566055621156 1132111242312