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11311023132321 = 3111394721522323
BaseRepresentation
bin1010010010011000110110…
…0001000000111010100001
31111001022201122112211212120
42210212031201000322201
52440304433410213241
640020113504414453
72245123461165003
oct244461541007241
944038648484776
1011311023132321
113670a83753720
12132819a917429
13640817bb9363
142b165668a373
1514935b976666
hexa498d840ea1

11311023132321 has 32 divisors (see below), whose sum is σ = 16574301596160. Its totient is φ = 6804393158400.

The previous prime is 11311023132197. The next prime is 11311023132427. The reversal of 11311023132321 is 12323132011311.

It is not a de Polignac number, because 11311023132321 - 213 = 11311023124129 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 11311023132291 and 11311023132300.

It is not an unprimeable number, because it can be changed into a prime (11311023132121) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 21394066 + ... + 21916388.

It is an arithmetic number, because the mean of its divisors is an integer number (517946924880).

Almost surely, 211311023132321 is an apocalyptic number.

11311023132321 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

11311023132321 is a deficient number, since it is larger than the sum of its proper divisors (5263278463839).

11311023132321 is a wasteful number, since it uses less digits than its factorization.

11311023132321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 527197.

The product of its (nonzero) digits is 648, while the sum is 24.

Adding to 11311023132321 its reverse (12323132011311), we get a palindrome (23634155143632).

The spelling of 11311023132321 in words is "eleven trillion, three hundred eleven billion, twenty-three million, one hundred thirty-two thousand, three hundred twenty-one".

Divisors: 1 3 11 33 139 417 1529 4587 4721 14163 51931 155793 522323 656219 1566969 1968657 5745553 7218409 17236659 21655227 72602897 217808691 798631867 2395895601 2465886883 7397660649 27124755713 81374267139 342758276737 1028274830211 3770341044107 11311023132321