Search a number
-
+
111221223000031 = 192730942152419
BaseRepresentation
bin11001010010011110110101…
…011111010000011111011111
3112120210122102021001222222201
4121102132311133100133133
5104034222031042000111
61032314154030552331
732266316405660344
oct3122366537203737
9476718367058881
10111221223000031
1132490723941331
12105835026686a7
134a0a16874c041
141d671c8d4a7cb
15ccd1bc6e96c1
hex6527b57d07df

111221223000031 has 12 divisors (see below), whose sum is σ = 117399126466200. Its totient is φ = 105353055794448.

The previous prime is 111221222999923. The next prime is 111221223000073. The reversal of 111221223000031 is 130000322122111.

It is not a de Polignac number, because 111221223000031 - 27 = 111221222999903 is a prime.

It is a super-2 number, since 2×1112212230000312 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (19).

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 111221222999972 and 111221223000008.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (111221223000431) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 18437661 + ... + 23714758.

It is an arithmetic number, because the mean of its divisors is an integer number (9783260538850).

Almost surely, 2111221223000031 is an apocalyptic number.

111221223000031 is a deficient number, since it is larger than the sum of its proper divisors (6177903466169).

111221223000031 is an equidigital number, since it uses as much as digits as its factorization.

111221223000031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42159766 (or 42159747 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 19.

Adding to 111221223000031 its reverse (130000322122111), we get a palindrome (241221545122142).

The spelling of 111221223000031 in words is "one hundred eleven trillion, two hundred twenty-one billion, two hundred twenty-three million, thirty-one", and thus it is an aban number.

Divisors: 1 19 361 7309 138871 2638549 42152419 800895961 15217023259 308092030471 5853748578949 111221223000031