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103122324 = 223247591033
BaseRepresentation
bin1100010010110…
…00010110010100
321012001011020100
412021120112110
5202344403244
614122134100
72361345114
oct611302624
9235034210
10103122324
1153234368
122a651330
1318497a36
14d9a5044
1590beb69
hex6258594

103122324 has 72 divisors (see below), whose sum is σ = 270990720. Its totient is φ = 33040512.

The previous prime is 103122311. The next prime is 103122361. The reversal of 103122324 is 423221301.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 103122297 and 103122306.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 99312 + ... + 100344.

It is an arithmetic number, because the mean of its divisors is an integer number (3763760).

Almost surely, 2103122324 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 103122324, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135495360).

103122324 is an abundant number, since it is smaller than the sum of its proper divisors (167868396).

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

103122324 is a wasteful number, since it uses less digits than its factorization.

103122324 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1149 (or 1144 counting only the distinct ones).

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

The square root of 103122324 is about 10154.9162478083. The cubic root of 103122324 is about 468.9403075800.

Adding to 103122324 its reverse (423221301), we get a palindrome (526343625).

The spelling of 103122324 in words is "one hundred three million, one hundred twenty-two thousand, three hundred twenty-four".

Divisors: 1 2 3 4 6 9 12 18 36 47 59 94 118 141 177 188 236 282 354 423 531 564 708 846 1033 1062 1692 2066 2124 2773 3099 4132 5546 6198 8319 9297 11092 12396 16638 18594 24957 33276 37188 48551 49914 60947 97102 99828 121894 145653 182841 194204 243788 291306 365682 436959 548523 582612 731364 873918 1097046 1747836 2194092 2864509 5729018 8593527 11458036 17187054 25780581 34374108 51561162 103122324