Search a number
-
+
122123200323331 = 2115077114000973
BaseRepresentation
bin11011110001001000000101…
…111110010101111100000011
3121000101212022210202202200201
4123301020011332111330003
5112001331303240321311
61111422342420230031
734503052515152314
oct3361100576257403
9530355283682621
10122123200323331
1135a04181923429
121184436483b317
13531b225bcb13c
142222b19cd660b
15e1ba8854c9c1
hex6f1205f95f03

122123200323331 has 8 divisors (see below), whose sum is σ = 122726152546064. Its totient is φ = 121520476113120.

The previous prime is 122123200323329. The next prime is 122123200323389. The reversal of 122123200323331 is 133323002321221.

It is a happy number.

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

It is a cyclic number.

It is not a de Polignac number, because 122123200323331 - 21 = 122123200323329 is a prime.

It is a super-3 number, since 3×1221232003233313 (a number of 43 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 122123200323331.

It is not an unprimeable number, because it can be changed into a prime (122123200323301) 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, 55929240 + ... + 58071733.

It is an arithmetic number, because the mean of its divisors is an integer number (15340769068258).

Almost surely, 2122123200323331 is an apocalyptic number.

122123200323331 is a deficient number, since it is larger than the sum of its proper divisors (602952222733).

122123200323331 is a wasteful number, since it uses less digits than its factorization.

122123200323331 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 114006261.

The product of its (nonzero) digits is 7776, while the sum is 28.

Adding to 122123200323331 its reverse (133323002321221), we get a palindrome (255446202644552).

The spelling of 122123200323331 in words is "one hundred twenty-two trillion, one hundred twenty-three billion, two hundred million, three hundred twenty-three thousand, three hundred thirty-one".

Divisors: 1 211 5077 1071247 114000973 24054205303 578782939921 122123200323331