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11311112323116 = 2232495751633781
BaseRepresentation
bin1010010010011001001011…
…0101010000000000101100
31111001022221212101012122100
42210212102311100000230
52440310124223314431
640020130412215100
72245125623250324
oct244462265200054
944038855335570
1011311112323116
11367101a032021
12132820476a490
13640830516b88
142b1664466284
151493646e34e6
hexa4992d5002c

11311112323116 has 36 divisors (see below), whose sum is σ = 28592081159824. Its totient is φ = 3770357220000.

The previous prime is 11311112323111. The next prime is 11311112323117. The reversal of 11311112323116 is 61132321111311.

It is a happy number.

11311112323116 is a `hidden beast` number, since 1 + 1 + 3 + 1 + 111 + 232 + 311 + 6 = 666.

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

It is a super-2 number, since 2×113111123231162 (a number of 27 digits) contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 11311112323116.

It is not an unprimeable number, because it can be changed into a prime (11311112323111) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 17530146 + ... + 18163926.

Almost surely, 211311112323116 is an apocalyptic number.

It is an amenable number.

11311112323116 is an abundant number, since it is smaller than the sum of its proper divisors (17280968836708).

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

11311112323116 is a wasteful number, since it uses less digits than its factorization.

11311112323116 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1129542 (or 1129537 counting only the distinct ones).

The product of its digits is 648, while the sum is 27.

Adding to 11311112323116 its reverse (61132321111311), we get a palindrome (72443433434427).

The spelling of 11311112323116 in words is "eleven trillion, three hundred eleven billion, one hundred twelve million, three hundred twenty-three thousand, one hundred sixteen".

Divisors: 1 2 3 4 6 9 12 18 36 495751 633781 991502 1267562 1487253 1901343 1983004 2535124 2974506 3802686 4461759 5704029 5949012 7605372 8923518 11408058 17847036 22816116 314197564531 628395129062 942592693593 1256790258124 1885185387186 2827778080779 3770370774372 5655556161558 11311112323116