Search a number
-
+
221334011031 = 3717360923207
BaseRepresentation
bin1100111000100010001…
…0001111110010010111
3210011022010222201212010
43032020202033302113
512111243001323111
6245402431555303
721663602023620
oct3161042176227
9704263881763
10221334011031
118595a308481
1236a9038bb33
1317b441ac643
14a9d961ca47
155b5639caa6
hex338888fc97

221334011031 has 16 divisors (see below), whose sum is σ = 339220422144. Its totient is φ = 125745497184.

The previous prime is 221334011023. The next prime is 221334011159. The reversal of 221334011031 is 130110433122.

221334011031 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 221334011031 - 23 = 221334011023 is a prime.

It is a super-2 number, since 2×2213340110312 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 221334010989 and 221334011007.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (221334011011) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 30457971 + ... + 30465236.

It is an arithmetic number, because the mean of its divisors is an integer number (21201276384).

Almost surely, 2221334011031 is an apocalyptic number.

221334011031 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

221334011031 is a deficient number, since it is larger than the sum of its proper divisors (117886411113).

221334011031 is a wasteful number, since it uses less digits than its factorization.

221334011031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60923390.

The product of its (nonzero) digits is 432, while the sum is 21.

Adding to 221334011031 its reverse (130110433122), we get a palindrome (351444444153).

The spelling of 221334011031 in words is "two hundred twenty-one billion, three hundred thirty-four million, eleven thousand, thirty-one".

Divisors: 1 3 7 21 173 519 1211 3633 60923207 182769621 426462449 1279387347 10539714811 31619144433 73778003677 221334011031