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11342311335 = 345375912829
BaseRepresentation
bin10101001000000110…
…11110111110100111
31002021110120010010000
422210003132332213
5141212112430320
65113253032343
7551034025035
oct124403367647
932243503100
1011342311335
1148a0491423
1222466256b3
1310b9b1b034
14798539555
15465b59c90
hex2a40defa7

11342311335 has 80 divisors (see below), whose sum is σ = 21237242400. Its totient is φ = 5785530624.

The previous prime is 11342311313. The next prime is 11342311349. The reversal of 11342311335 is 53311324311.

11342311335 is a `hidden beast` number, since 1 + 1 + 342 + 311 + 3 + 3 + 5 = 666.

It is not a de Polignac number, because 11342311335 - 25 = 11342311303 is a prime.

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

It is a junction number, because it is equal to n+sod(n) for n = 11342311299 and 11342311308.

It is a congruent number.

It is an unprimeable number.

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 79 ways as a sum of consecutive naturals, for example, 877701 + ... + 890529.

It is an arithmetic number, because the mean of its divisors is an integer number (265465530).

Almost surely, 211342311335 is an apocalyptic number.

11342311335 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

11342311335 is a deficient number, since it is larger than the sum of its proper divisors (9894931065).

11342311335 is a wasteful number, since it uses less digits than its factorization.

11342311335 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12942 (or 12933 counting only the distinct ones).

The product of its digits is 3240, while the sum is 27.

Adding to 11342311335 its reverse (53311324311), we get a palindrome (64653635646).

The spelling of 11342311335 in words is "eleven billion, three hundred forty-two million, three hundred eleven thousand, three hundred thirty-five".

Divisors: 1 3 5 9 15 27 37 45 59 81 111 135 177 185 295 333 405 531 555 885 999 1593 1665 2183 2655 2997 4779 4995 6549 7965 10915 12829 14985 19647 23895 32745 38487 58941 64145 98235 115461 176823 192435 294705 346383 474673 577305 756911 884115 1039149 1424019 1731915 2270733 2373365 3784555 4272057 5195745 6812199 7120095 11353665 12816171 20436597 21360285 28005707 34060995 38448513 61309791 64080855 84017121 102182985 140028535 192242565 252051363 306548955 420085605 756154089 1260256815 2268462267 3780770445 11342311335