Search a number
-
+
102313332 = 223211892903
BaseRepresentation
bin1100001100100…
…10110101110100
321010112001111200
412012102311310
5202143011312
614052532500
72351435412
oct606226564
9233461450
10102313332
1152831580
122a321130
1318273744
14d8342b2
158eb00dc
hex6192d74

102313332 has 72 divisors (see below), whose sum is σ = 285405120. Its totient is φ = 30645120.

The previous prime is 102313331. The next prime is 102313397. The reversal of 102313332 is 233313201.

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 (102313331) 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, 33793 + ... + 36695.

It is an arithmetic number, because the mean of its divisors is an integer number (3963960).

Almost surely, 2102313332 is an apocalyptic number.

102313332 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 102313332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142702560).

102313332 is an abundant number, since it is smaller than the sum of its proper divisors (183091788).

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

102313332 is a wasteful number, since it uses less digits than its factorization.

102313332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3013 (or 3008 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

The square root of 102313332 is about 10115.0052891731. The cubic root of 102313332 is about 467.7108119171.

Adding to 102313332 its reverse (233313201), we get a palindrome (335626533).

It can be divided in two parts, 1023133 and 32, that added together give a triangular number (1023165 = T1430).

The spelling of 102313332 in words is "one hundred two million, three hundred thirteen thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 89 99 132 178 198 267 356 396 534 801 979 1068 1602 1958 2903 2937 3204 3916 5806 5874 8709 8811 11612 11748 17418 17622 26127 31933 34836 35244 52254 63866 95799 104508 127732 191598 258367 287397 383196 516734 574794 775101 1033468 1149588 1550202 2325303 2842037 3100404 4650606 5684074 8526111 9301212 11368148 17052222 25578333 34104444 51156666 102313332