Search a number
-
+
122331135043 = 1371163813107
BaseRepresentation
bin111000111101110000…
…0001111110001000011
3102200202110121112121101
41301323200033301003
54001013232310133
6132110444435231
711560323330325
oct1617340176103
9380673545541
10122331135043
1147975811407
121b860548b17
13b6c7141010
145cc6b9b615
1532ae97737d
hex1c7b80fc43

122331135043 has 16 divisors (see below), whose sum is σ = 134416509696. Its totient is φ = 110647464480.

The previous prime is 122331135013. The next prime is 122331135049. The reversal of 122331135043 is 340531133221.

It is a cyclic number.

It is not a de Polignac number, because 122331135043 - 229 = 121794264131 is a prime.

It is a super-2 number, since 2×1223311350432 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (122331135049) 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, 256105 + ... + 557002.

It is an arithmetic number, because the mean of its divisors is an integer number (8401031856).

Almost surely, 2122331135043 is an apocalyptic number.

122331135043 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

122331135043 is a deficient number, since it is larger than the sum of its proper divisors (12085374653).

122331135043 is a wasteful number, since it uses less digits than its factorization.

122331135043 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 813354.

The product of its (nonzero) digits is 6480, while the sum is 28.

Adding to 122331135043 its reverse (340531133221), we get a palindrome (462862268264).

The spelling of 122331135043 in words is "one hundred twenty-two billion, three hundred thirty-one million, one hundred thirty-five thousand, forty-three".

Divisors: 1 13 71 163 923 2119 11573 150449 813107 10570391 57730597 132536441 750497761 1722973733 9410087311 122331135043