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11200312220031 = 3211586119302929
BaseRepresentation
bin1010001011111100011010…
…1000011001100101111111
31110122201222000102210011200
42202333012220121211333
52432001214412020111
635453204041350543
72234124115023654
oct242770650314577
943581860383150
1011200312220031
1136290312906a0
12130a841a98453
1363325332c1bc
142aa152ccbc2b
1514652c253256
hexa2fc6a1997f

11200312220031 has 24 divisors (see below), whose sum is σ = 17651989002960. Its totient is φ = 6786909484800.

The previous prime is 11200312220021. The next prime is 11200312220081. The reversal of 11200312220031 is 13002221300211.

11200312220031 is a `hidden beast` number, since 1 + 120 + 0 + 312 + 2 + 200 + 31 = 666.

It is a de Polignac number, because none of the positive numbers 2k-11200312220031 is a prime.

It is a super-2 number, since 2×112003122200312 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 11200312219986 and 11200312220013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11200312220021) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9071226 + ... + 10231703.

It is an arithmetic number, because the mean of its divisors is an integer number (735499541790).

Almost surely, 211200312220031 is an apocalyptic number.

11200312220031 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

11200312220031 is a deficient number, since it is larger than the sum of its proper divisors (6451676782929).

11200312220031 is a wasteful number, since it uses less digits than its factorization.

11200312220031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19308807 (or 19308804 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 11200312220031 its reverse (13002221300211), we get a palindrome (24202533520242).

The spelling of 11200312220031 in words is "eleven trillion, two hundred billion, three hundred twelve million, two hundred twenty thousand, thirty-one".

Divisors: 1 3 9 11 33 99 5861 17583 52749 64471 193413 580239 19302929 57908787 173726361 212332219 636996657 1910989971 113134466869 339403400607 1018210201821 1244479135559 3733437406677 11200312220031