Search a number
-
+
122303232332021 = 1332105329303389
BaseRepresentation
bin11011110011101111110000…
…101101111101000011110101
3121001001002000112202101121102
4123303233300231331003311
5112012304004434111041
61112041155043055445
734522055053035236
oct3363576055750365
9531032015671542
10122303232332021
1135a73567238174
1211873229071585
1353321b736ba30
14222b71806508d
15e215c397a09b
hex6f3bf0b7d0f5

122303232332021 has 8 divisors (see below), whose sum is σ = 131711588022840. Its totient is φ = 112894935890112.

The previous prime is 122303232332011. The next prime is 122303232332033. The reversal of 122303232332021 is 120233232303221.

It can be written as a sum of positive squares in 4 ways, for example, as 24237012072100 + 98066220259921 = 4923110^2 + 9902839^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-122303232332021 is a prime.

It is a super-3 number, since 3×1223032323320213 (a number of 43 digits) contains 333 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122303232332011) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10478006 + ... + 18825383.

It is an arithmetic number, because the mean of its divisors is an integer number (16463948502855).

Almost surely, 2122303232332021 is an apocalyptic number.

It is an amenable number.

122303232332021 is a deficient number, since it is larger than the sum of its proper divisors (9408355690819).

122303232332021 is a wasteful number, since it uses less digits than its factorization.

122303232332021 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29624455.

The product of its (nonzero) digits is 15552, while the sum is 29.

Adding to 122303232332021 its reverse (120233232303221), we get a palindrome (242536464635242).

The spelling of 122303232332021 in words is "one hundred twenty-two trillion, three hundred three billion, two hundred thirty-two million, three hundred thirty-two thousand, twenty-one".

Divisors: 1 13 321053 4173689 29303389 380944057 9407940948617 122303232332021