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122313033 = 3273832243
BaseRepresentation
bin1110100101001…
…01100101001001
322112011010221100
413102211211021
5222303004113
620045332013
73013433523
oct722454511
9275133840
10122313033
1163051657
1234b67009
131c45699b
141235ca13
15ab10d73
hex74a5949

122313033 has 24 divisors (see below), whose sum is σ = 181333152. Its totient is φ = 79420608.

The previous prime is 122313031. The next prime is 122313071. The reversal of 122313033 is 330313221.

It is not a de Polignac number, because 122313033 - 21 = 122313031 is a prime.

It is a super-3 number, since 3×1223130333 (a number of 25 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 122312997 and 122313015.

It is not an unprimeable number, because it can be changed into a prime (122313031) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 53410 + ... + 55652.

It is an arithmetic number, because the mean of its divisors is an integer number (7555548).

Almost surely, 2122313033 is an apocalyptic number.

It is an amenable number.

122313033 is a deficient number, since it is larger than the sum of its proper divisors (59020119).

122313033 is a wasteful number, since it uses less digits than its factorization.

122313033 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2405 (or 2402 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

The square root of 122313033 is about 11059.5222772053. The cubic root of 122313033 is about 496.3913959419.

Adding to 122313033 its reverse (330313221), we get a palindrome (452626254).

The spelling of 122313033 in words is "one hundred twenty-two million, three hundred thirteen thousand, thirty-three".

Divisors: 1 3 9 73 83 219 249 657 747 2243 6059 6729 18177 20187 54531 163739 186169 491217 558507 1473651 1675521 13590337 40771011 122313033