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11340113010372 = 22322910862177213
BaseRepresentation
bin1010010100000101001101…
…1010000101111011000100
31111011002210222021202122100
42211001103122011323010
52441244022412312442
640041324225432100
72250203400110046
oct245012332057304
944132728252570
1011340113010372
113682351181653
121331958a9b630
136434a2852853
142b2c15ca1a96
15149eb072484c
hexa5053685ec4

11340113010372 has 36 divisors (see below), whose sum is σ = 29653743794220. Its totient is φ = 3649691543232.

The previous prime is 11340113010371. The next prime is 11340113010427. The reversal of 11340113010372 is 27301031104311.

11340113010372 is a `hidden beast` number, since 1 + 1 + 340 + 11 + 301 + 0 + 3 + 7 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 2517217057476 + 8822895952896 = 1586574^2 + 2970336^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is not an unprimeable number, because it can be changed into a prime (11340113010371) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5431087563 + ... + 5431089650.

It is an arithmetic number, because the mean of its divisors is an integer number (823715105395).

Almost surely, 211340113010372 is an apocalyptic number.

11340113010372 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

11340113010372 is an abundant number, since it is smaller than the sum of its proper divisors (18313630783848).

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

11340113010372 is a wasteful number, since it uses less digits than its factorization.

11340113010372 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10862177252 (or 10862177247 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 27.

Adding to 11340113010372 its reverse (27301031104311), we get a palindrome (38641144114683).

The spelling of 11340113010372 in words is "eleven trillion, three hundred forty billion, one hundred thirteen million, ten thousand, three hundred seventy-two".

Divisors: 1 2 3 4 6 9 12 18 29 36 58 87 116 174 261 348 522 1044 10862177213 21724354426 32586531639 43448708852 65173063278 97759594917 130346126556 195519189834 315003139177 391038379668 630006278354 945009417531 1260012556708 1890018835062 2835028252593 3780037670124 5670056505186 11340113010372