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122314023 = 331323109139
BaseRepresentation
bin1110100101001…
…01110100100111
322112011012022000
413102211310213
5222303022043
620045340343
73013436436
oct722456447
9275135260
10122314023
1163052377
1234b676b3
131c457280
141235d11d
15ab112d3
hex74a5d27

122314023 has 64 divisors (see below), whose sum is σ = 206976000. Its totient is φ = 70823808.

The previous prime is 122314009. The next prime is 122314033. The reversal of 122314023 is 320413221.

It is not a de Polignac number, because 122314023 - 25 = 122313991 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 122313987 and 122314005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122314033) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 879888 + ... + 880026.

It is an arithmetic number, because the mean of its divisors is an integer number (3234000).

Almost surely, 2122314023 is an apocalyptic number.

122314023 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

122314023 is a deficient number, since it is larger than the sum of its proper divisors (84661977).

122314023 is a wasteful number, since it uses less digits than its factorization.

122314023 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 293 (or 287 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 122314023 is about 11059.5670349250. The cubic root of 122314023 is about 496.3927352000.

Adding to 122314023 its reverse (320413221), we get a palindrome (442727244).

The spelling of 122314023 in words is "one hundred twenty-two million, three hundred fourteen thousand, twenty-three".

Divisors: 1 3 9 13 23 27 39 69 109 117 139 207 299 327 351 417 621 897 981 1251 1417 1807 2507 2691 2943 3197 3753 4251 5421 7521 8073 9591 12753 15151 16263 22563 28773 32591 38259 41561 45453 48789 67689 86319 97773 124683 136359 196963 293319 348473 374049 409077 590889 879957 1045419 1122147 1772667 3136257 4530149 5318001 9408771 13590447 40771341 122314023