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123136104 = 23371324337
BaseRepresentation
bin1110101011011…
…10100001101000
322120200221222110
413111232201220
5223010323404
620115122320
73023432250
oct725564150
9276627873
10123136104
1163563a83
12352a33a0
131c684500
14124d4960
15ac24b89
hex756e868

123136104 has 96 divisors (see below), whose sum is σ = 381049920. Its totient is φ = 32467968.

The previous prime is 123136067. The next prime is 123136141. The reversal of 123136104 is 401631321.

It is an interprime number because it is at equal distance from previous prime (123136067) and next prime (123136141).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 26224 + ... + 30560.

It is an arithmetic number, because the mean of its divisors is an integer number (3969270).

Almost surely, 2123136104 is an apocalyptic number.

123136104 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 123136104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190524960).

123136104 is an abundant number, since it is smaller than the sum of its proper divisors (257913816).

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

123136104 is a wasteful number, since it uses less digits than its factorization.

123136104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4379 (or 4362 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

The square root of 123136104 is about 11096.6708521070. The cubic root of 123136104 is about 497.5023495929.

Adding to 123136104 its reverse (401631321), we get a palindrome (524767425).

The spelling of 123136104 in words is "one hundred twenty-three million, one hundred thirty-six thousand, one hundred four".

Divisors: 1 2 3 4 6 7 8 12 13 14 21 24 26 28 39 42 52 56 78 84 91 104 156 168 169 182 273 312 338 364 507 546 676 728 1014 1092 1183 1352 2028 2184 2366 3549 4056 4337 4732 7098 8674 9464 13011 14196 17348 26022 28392 30359 34696 52044 56381 60718 91077 104088 112762 121436 169143 182154 225524 242872 338286 364308 394667 451048 676572 728616 732953 789334 1184001 1353144 1465906 1578668 2198859 2368002 2931812 3157336 4397718 4736004 5130671 5863624 8795436 9472008 10261342 15392013 17590872 20522684 30784026 41045368 61568052 123136104