Search a number
-
+
102313404 = 2232191011481
BaseRepresentation
bin1100001100100…
…10110110111100
321010112001121100
412012102312330
5202143012104
614052533100
72351435544
oct606226674
9233461540
10102313404
1152831636
122a321190
131827379b
14d834324
158eb0139
hex6192dbc

102313404 has 72 divisors (see below), whose sum is σ = 275118480. Its totient is φ = 31968000.

The previous prime is 102313403. The next prime is 102313433. The reversal of 102313404 is 404313201.

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 (102313403) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 68344 + ... + 69824.

It is an arithmetic number, because the mean of its divisors is an integer number (3821090).

Almost surely, 2102313404 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102313404, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137559240).

102313404 is an abundant number, since it is smaller than the sum of its proper divisors (172805076).

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

102313404 is a wasteful number, since it uses less digits than its factorization.

102313404 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1611 (or 1606 counting only the distinct ones).

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

The square root of 102313404 is about 10115.0088482413. The cubic root of 102313404 is about 467.7109216297.

Adding to 102313404 its reverse (404313201), we get a palindrome (506626605).

The spelling of 102313404 in words is "one hundred two million, three hundred thirteen thousand, four hundred four".

Divisors: 1 2 3 4 6 9 12 18 19 36 38 57 76 101 114 171 202 228 303 342 404 606 684 909 1212 1481 1818 1919 2962 3636 3838 4443 5757 5924 7676 8886 11514 13329 17271 17772 23028 26658 28139 34542 53316 56278 69084 84417 112556 149581 168834 253251 299162 337668 448743 506502 598324 897486 1013004 1346229 1794972 2692458 2842039 5384916 5684078 8526117 11368156 17052234 25578351 34104468 51156702 102313404