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102423132 = 223272311873
BaseRepresentation
bin1100001101011…
…01101001011100
321010201122010100
412012231221130
5202210020012
614055141100
72352403500
oct606555134
9233648110
10102423132
11528a7019
122a374790
13182b1706
14d862300
158ed28dc
hex61ada5c

102423132 has 108 divisors (see below), whose sum is σ = 311054016. Its totient is φ = 28304640.

The previous prime is 102423127. The next prime is 102423137. The reversal of 102423132 is 231324201.

It is an interprime number because it is at equal distance from previous prime (102423127) and next prime (102423137).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102423137) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 53748 + ... + 55620.

Almost surely, 2102423132 is an apocalyptic number.

102423132 is a gapful number since it is divisible by the number (12) 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 102423132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155527008).

102423132 is an abundant number, since it is smaller than the sum of its proper divisors (208630884).

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

102423132 is a wasteful number, since it uses less digits than its factorization.

102423132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1928 (or 1916 counting only the distinct ones).

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

The square root of 102423132 is about 10120.4314137294. The cubic root of 102423132 is about 467.8780637838.

Adding to 102423132 its reverse (231324201), we get a palindrome (333747333).

The spelling of 102423132 in words is "one hundred two million, four hundred twenty-three thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 31 36 42 49 62 63 84 93 98 124 126 147 186 196 217 252 279 294 372 434 441 558 588 651 868 882 1116 1302 1519 1764 1873 1953 2604 3038 3746 3906 4557 5619 6076 7492 7812 9114 11238 13111 13671 16857 18228 22476 26222 27342 33714 39333 52444 54684 58063 67428 78666 91777 116126 117999 157332 174189 183554 232252 235998 275331 348378 367108 406441 471996 522567 550662 696756 812882 825993 1045134 1101324 1219323 1625764 1651986 2090268 2438646 2845087 3303972 3657969 4877292 5690174 7315938 8535261 11380348 14631876 17070522 25605783 34141044 51211566 102423132