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102123294 = 23713359521
BaseRepresentation
bin1100001011001…
…00011100011110
321010011101211020
412011210130132
5202120421134
614044505010
72350014360
oct605443436
9233141736
10102123294
1152711819
122a24b166
13182080b0
14d7c4d30
158e73b49
hex616471e

102123294 has 64 divisors (see below), whose sum is σ = 252564480. Its totient is φ = 26807040.

The previous prime is 102123257. The next prime is 102123337. The reversal of 102123294 is 492321201.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 195754 + ... + 196274.

It is an arithmetic number, because the mean of its divisors is an integer number (3946320).

Almost surely, 2102123294 is an apocalyptic number.

102123294 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 102123294, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126282240).

102123294 is an abundant number, since it is smaller than the sum of its proper divisors (150441186).

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

102123294 is a wasteful number, since it uses less digits than its factorization.

102123294 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 905.

The product of its (nonzero) digits is 864, while the sum is 24.

The square root of 102123294 is about 10105.6070574706. The cubic root of 102123294 is about 467.4210552352.

Adding to 102123294 its reverse (492321201), we get a palindrome (594444495).

The spelling of 102123294 in words is "one hundred two million, one hundred twenty-three thousand, two hundred ninety-four".

Divisors: 1 2 3 6 7 13 14 21 26 39 42 78 91 182 273 359 521 546 718 1042 1077 1563 2154 2513 3126 3647 4667 5026 6773 7294 7539 9334 10941 13546 14001 15078 20319 21882 28002 32669 40638 47411 65338 94822 98007 142233 187039 196014 284466 374078 561117 1122234 1309273 2431507 2618546 3927819 4863014 7294521 7855638 14589042 17020549 34041098 51061647 102123294