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1131360136641 = 337172411461077
BaseRepresentation
bin10000011101101010010…
…100011010110111000001
311000011020102200202211000
4100131222110122313001
5122014011143333031
62223423434042213
7144511105330230
oct20355224326701
94004212622730
101131360136641
113a6897336899
12163322279369
13828c0ba2547
143ca88408b17
151e668be83e6
hex1076a51adc1

1131360136641 has 64 divisors (see below), whose sum is σ = 2036625845760. Its totient is φ = 605937438720.

The previous prime is 1131360136639. The next prime is 1131360136693. The reversal of 1131360136641 is 1466310631311.

1131360136641 is a `hidden beast` number, since 1 + 1 + 3 + 1 + 3 + 6 + 0 + 1 + 3 + 6 + 641 = 666.

It is not a de Polignac number, because 1131360136641 - 21 = 1131360136639 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 1131360136596 and 1131360136605.

It is not an unprimeable number, because it can be changed into a prime (1131360136601) 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 63 ways as a sum of consecutive naturals, for example, 43795 + ... + 1504871.

It is an arithmetic number, because the mean of its divisors is an integer number (31822278840).

Almost surely, 21131360136641 is an apocalyptic number.

It is an amenable number.

1131360136641 is a deficient number, since it is larger than the sum of its proper divisors (905265709119).

1131360136641 is a wasteful number, since it uses less digits than its factorization.

1131360136641 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1461351 (or 1461345 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

Adding to 1131360136641 its reverse (1466310631311), we get a palindrome (2597670767952).

The spelling of 1131360136641 in words is "one trillion, one hundred thirty-one billion, three hundred sixty million, one hundred thirty-six thousand, six hundred forty-one".

Divisors: 1 3 7 9 17 21 27 51 63 119 153 189 241 357 459 723 1071 1687 2169 3213 4097 5061 6507 12291 15183 28679 36873 45549 86037 110619 258111 774333 1461077 4383231 10227539 13149693 24838309 30682617 39449079 74514927 92047851 173868163 223544781 276143553 352119557 521604489 670634343 1056358671 1564813467 2464836899 3169076013 4694440401 5986032469 7394510697 9507228039 17958097407 22183532091 41902227283 53874292221 66550596273 125706681849 161622876663 377120045547 1131360136641