Search a number
-
+
122401025430444 = 22323400028484179
BaseRepresentation
bin11011110101001010110101…
…101001000001001110101100
3121001101102102220201112000200
4123311022311221001032230
5112020404300002233234
61112154131012353500
734532116341461325
oct3365126551011654
9531342386645020
10122401025430444
1136000a8a95a472
121188a17b915890
13533b4a08a1647
142232353d6d44c
15e23de9082d99
hex6f52b5a413ac

122401025430444 has 18 divisors (see below), whose sum is σ = 309402592060380. Its totient is φ = 40800341810136.

The previous prime is 122401025430413. The next prime is 122401025430457. The reversal of 122401025430444 is 444034520104221.

122401025430444 is a `hidden beast` number, since 1 + 2 + 2 + 4 + 0 + 102 + 543 + 0 + 4 + 4 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (18).

It is a super-2 number, since 2×1224010254304442 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36), and also a Moran number because the ratio is a prime number: 3400028484179 = 122401025430444 / (1 + 2 + 2 + 4 + 0 + 1 + 0 + 2 + 5 + 4 + 3 + 0 + 4 + 4 + 4).

It is a junction number, because it is equal to n+sod(n) for n = 122401025430399 and 122401025430408.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1700014242054 + ... + 1700014242125.

Almost surely, 2122401025430444 is an apocalyptic number.

It is an amenable number.

122401025430444 is an abundant number, since it is smaller than the sum of its proper divisors (187001566629936).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

122401025430444 is a wasteful number, since it uses less digits than its factorization.

122401025430444 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3400028484189 (or 3400028484184 counting only the distinct ones).

The product of its (nonzero) digits is 122880, while the sum is 36.

Adding to 122401025430444 its reverse (444034520104221), we get a palindrome (566435545534665).

The spelling of 122401025430444 in words is "one hundred twenty-two trillion, four hundred one billion, twenty-five million, four hundred thirty thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 9 12 18 36 3400028484179 6800056968358 10200085452537 13600113936716 20400170905074 30600256357611 40800341810148 61200512715222 122401025430444