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1101052014345 = 34531310638171
BaseRepresentation
bin10000000001011011110…
…100000110111100001001
310220021000012121122010000
4100001123310012330021
5121014423303424340
62201452153513213
7142356044462523
oct20013364067411
93807005548100
101101052014345
11394a54180a38
12159484112809
137caa0a2767a
143b4110b4a13
151d993008d30
hex1005bd06f09

1101052014345 has 80 divisors (see below), whose sum is σ = 1982148803712. Its totient is φ = 584729383680.

The previous prime is 1101052014319. The next prime is 1101052014397. The reversal of 1101052014345 is 5434102501011.

1101052014345 is a `hidden beast` number, since 1 + 10 + 10 + 5 + 201 + 434 + 5 = 666.

It is not a de Polignac number, because 1101052014345 - 218 = 1101051752201 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

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 79 ways as a sum of consecutive naturals, for example, 134747110 + ... + 134755280.

Almost surely, 21101052014345 is an apocalyptic number.

1101052014345 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1101052014345 is a deficient number, since it is larger than the sum of its proper divisors (881096789367).

1101052014345 is a wasteful number, since it uses less digits than its factorization.

1101052014345 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9564 (or 9555 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 27.

Adding to 1101052014345 its reverse (5434102501011), we get a palindrome (6535154515356).

The spelling of 1101052014345 in words is "one trillion, one hundred one billion, fifty-two million, fourteen thousand, three hundred forty-five".

Divisors: 1 3 5 9 15 27 45 81 135 313 405 939 1063 1565 2817 3189 4695 5315 8171 8451 9567 14085 15945 24513 25353 28701 40855 42255 47835 73539 86103 122565 126765 143505 220617 332719 367695 430515 661851 998157 1103085 1663595 2557523 2994471 3309255 4990785 7672569 8685773 8983413 12787615 14972355 23017707 26057319 26950239 38362845 43428865 44917065 69053121 78171957 115088535 130286595 134751195 207159363 234515871 345265605 390859785 703547613 1035796815 1172579355 2718646949 3517738065 8155940847 13593234745 24467822541 40779704235 73403467623 122339112705 220210402869 367017338115 1101052014345