Search a number
-
+
102321612 = 223219227659
BaseRepresentation
bin1100001100101…
…00110111001100
321010112110212100
412012110313030
5202143242422
614053035100
72351501511
oct606246714
9233473770
10102321612
1152837818
122a325a90
1318277443
14d837308
158eb27ac
hex6194dcc

102321612 has 72 divisors (see below), whose sum is σ = 273873600. Its totient is φ = 32120928.

The previous prime is 102321587. The next prime is 102321619. The reversal of 102321612 is 216123201.

102321612 is a `hidden beast` number, since 10 + 23 + 21 + 612 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (102321619) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 154939 + ... + 155597.

It is an arithmetic number, because the mean of its divisors is an integer number (3803800).

Almost surely, 2102321612 is an apocalyptic number.

102321612 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 102321612, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136936800).

102321612 is an abundant number, since it is smaller than the sum of its proper divisors (171551988).

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

102321612 is a wasteful number, since it uses less digits than its factorization.

102321612 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 915 (or 910 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 102321612 is about 10115.4145738076. The cubic root of 102321612 is about 467.7234285233.

Adding to 102321612 its reverse (216123201), we get a palindrome (318444813).

The spelling of 102321612 in words is "one hundred two million, three hundred twenty-one thousand, six hundred twelve".

Divisors: 1 2 3 4 6 9 12 18 19 36 38 57 76 114 171 227 228 342 454 659 681 684 908 1318 1362 1977 2043 2636 2724 3954 4086 4313 5931 7908 8172 8626 11862 12521 12939 17252 23724 25042 25878 37563 38817 50084 51756 75126 77634 112689 149593 150252 155268 225378 299186 448779 450756 598372 897558 1346337 1795116 2692674 2842267 5385348 5684534 8526801 11369068 17053602 25580403 34107204 51160806 102321612