Search a number
-
+
122321032331311 = 11194139141403261
BaseRepresentation
bin11011110100000000010101…
…101011100100000000101111
3121001002202222001121001020101
4123310000111223210000233
5112013101433234100221
61112053301222531531
734523255132401012
oct3364002553440057
9531082861531211
10122321032331311
1135a80070937090
1211876776296ba7
135333a930148a8
14222c5260ad379
15e21cb64c8d91
hex6f4015ae402f

122321032331311 has 16 divisors (see below), whose sum is σ = 140498281123200. Its totient is φ = 105322804178400.

The previous prime is 122321032331287. The next prime is 122321032331339. The reversal of 122321032331311 is 113133230123221.

It is a cyclic number.

It is not a de Polignac number, because 122321032331311 - 25 = 122321032331279 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 122321032331311.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122321032332311) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 69836580 + ... + 71566681.

It is an arithmetic number, because the mean of its divisors is an integer number (8781142570200).

Almost surely, 2122321032331311 is an apocalyptic number.

122321032331311 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

122321032331311 is a deficient number, since it is larger than the sum of its proper divisors (18177248791889).

122321032331311 is a wasteful number, since it uses less digits than its factorization.

122321032331311 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 141407430.

The product of its (nonzero) digits is 3888, while the sum is 28.

Adding to 122321032331311 its reverse (113133230123221), we get a palindrome (235454262454532).

The spelling of 122321032331311 in words is "one hundred twenty-two trillion, three hundred twenty-one billion, thirty-two million, three hundred thirty-one thousand, three hundred eleven".

Divisors: 1 11 19 209 4139 45529 78641 865051 141403261 1555435871 2686661959 29553281549 585268097279 6437949070069 11120093848301 122321032331311