Search a number
-
+
122426181 = 3313134613
BaseRepresentation
bin1110100110000…
…01001101000101
322112100220011000
413103001031011
5222320114211
620052003513
73014414433
oct723011505
9275326130
10122426181
1163119669
1235000599
131c496337
141238bd53
15ab34656
hex74c1345

122426181 has 16 divisors (see below), whose sum is σ = 182761920. Its totient is φ = 80992080.

The previous prime is 122426179. The next prime is 122426189. The reversal of 122426181 is 181624221.

122426181 is a `hidden beast` number, since 1 + 2 + 2 + 42 + 618 + 1 = 666.

It is not a de Polignac number, because 122426181 - 21 = 122426179 is a prime.

It is a super-4 number, since 4×1224261814 (a number of 33 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122426189) 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, 13770 + ... + 20843.

It is an arithmetic number, because the mean of its divisors is an integer number (11422620).

Almost surely, 2122426181 is an apocalyptic number.

It is an amenable number.

122426181 is a deficient number, since it is larger than the sum of its proper divisors (60335739).

122426181 is a wasteful number, since it uses less digits than its factorization.

122426181 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34753 (or 34747 counting only the distinct ones).

The product of its digits is 1536, while the sum is 27.

The square root of 122426181 is about 11064.6365055523. The cubic root of 122426181 is about 496.5444142048.

The spelling of 122426181 in words is "one hundred twenty-two million, four hundred twenty-six thousand, one hundred eighty-one".

Divisors: 1 3 9 27 131 393 1179 3537 34613 103839 311517 934551 4534303 13602909 40808727 122426181