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1131604113126 = 23475777579187
BaseRepresentation
bin10000011101111000110…
…111000111011011100110
311000011212102210001122010
4100131320313013123212
5122020011123110001
62223503551215050
7144520130154024
oct20357067073346
94004772701563
101131604113126
113a6a02025a53
1216338bb17486
138292c5b6326
143caac997714
151e68033c8d6
hex10778dc76e6

1131604113126 has 64 divisors (see below), whose sum is σ = 2318678387712. Its totient is φ = 368009091072.

The previous prime is 1131604113121. The next prime is 1131604113131. The reversal of 1131604113126 is 6213114061311.

It is an interprime number because it is at equal distance from previous prime (1131604113121) and next prime (1131604113131).

It is a junction number, because it is equal to n+sod(n) for n = 1131604113093 and 1131604113102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1131604113121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 123169905 + ... + 123179091.

It is an arithmetic number, because the mean of its divisors is an integer number (36229349808).

Almost surely, 21131604113126 is an apocalyptic number.

1131604113126 is an abundant number, since it is smaller than the sum of its proper divisors (1187074274586).

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

1131604113126 is a wasteful number, since it uses less digits than its factorization.

1131604113126 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10573.

The product of its (nonzero) digits is 2592, while the sum is 30.

Adding to 1131604113126 its reverse (6213114061311), we get a palindrome (7344718174437).

The spelling of 1131604113126 in words is "one trillion, one hundred thirty-one billion, six hundred four million, one hundred thirteen thousand, one hundred twenty-six".

Divisors: 1 2 3 6 47 94 141 282 577 757 1154 1514 1731 2271 3462 4542 9187 18374 27119 27561 35579 54238 55122 71158 81357 106737 162714 213474 431789 436789 863578 873578 1295367 1310367 2590734 2620734 5300899 6954559 10601798 13909118 15902697 20529083 20863677 31805394 41058166 41727354 61587249 123174498 249142253 326864273 498284506 653728546 747426759 980592819 1494853518 1961185638 4012780543 8025561086 12038341629 24076683258 188600685521 377201371042 565802056563 1131604113126