Search a number
-
+
2412103302 = 232725035437
BaseRepresentation
bin1000111111000101…
…1100011010000110
320020002210112200100
42033301130122012
514414444301202
61035203424530
7113526353100
oct21761343206
96202715610
102412103302
111028629a04
12573985146
132c596597b
1418c4d0570
15e1b6741c
hex8fc5c686

2412103302 has 72 divisors (see below), whose sum is σ = 6092691696. Its totient is φ = 687675744.

The previous prime is 2412103301. The next prime is 2412103367. The reversal of 2412103302 is 2033012142.

2412103302 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

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 (2412103301) 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, 440928 + ... + 446364.

It is an arithmetic number, because the mean of its divisors is an integer number (84620718).

Almost surely, 22412103302 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2412103302, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3046345848).

2412103302 is an abundant number, since it is smaller than the sum of its proper divisors (3680588394).

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

2412103302 is a wasteful number, since it uses less digits than its factorization.

2412103302 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5962 (or 5952 counting only the distinct ones).

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

The square root of 2412103302 is about 49113.1683156361. The cubic root of 2412103302 is about 1341.1127798953.

Adding to 2412103302 its reverse (2033012142), we get a palindrome (4445115444).

The spelling of 2412103302 in words is "two billion, four hundred twelve million, one hundred three thousand, three hundred two".

Divisors: 1 2 3 6 7 9 14 18 21 42 49 63 98 126 147 294 441 503 882 1006 1509 3018 3521 4527 5437 7042 9054 10563 10874 16311 21126 24647 31689 32622 38059 48933 49294 63378 73941 76118 97866 114177 147882 221823 228354 266413 342531 443646 532826 685062 799239 1598478 2397717 2734811 4795434 5469622 8204433 16408866 19143677 24613299 38287354 49226598 57431031 114862062 134005739 172293093 268011478 344586186 402017217 804034434 1206051651 2412103302