Search a number
-
+
5102201312 = 2513113311349
BaseRepresentation
bin1001100000001110…
…10110100111100000
3111011120200200101222
410300013112213200
540422130420222
62202141514212
7240302665325
oct46007264740
914146620358
105102201312
1121890723aa
12ba4872968
13634093340
143658a6b4c
151ecde3542
hex1301d69e0

5102201312 has 96 divisors (see below), whose sum is σ = 10979841600. Its totient is φ = 2319851520.

The previous prime is 5102201311. The next prime is 5102201327. The reversal of 5102201312 is 2131022015.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5102201311) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14619314 + ... + 14619662.

It is an arithmetic number, because the mean of its divisors is an integer number (114373350).

Almost surely, 25102201312 is an apocalyptic number.

5102201312 is a gapful number since it is divisible by the number (52) 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 5102201312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5489920800).

5102201312 is an abundant number, since it is smaller than the sum of its proper divisors (5877640288).

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

5102201312 is a wasteful number, since it uses less digits than its factorization.

5102201312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 796 (or 788 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 17.

The square root of 5102201312 is about 71429.6948894506. The cubic root of 5102201312 is about 1721.5482399863.

Adding to 5102201312 its reverse (2131022015), we get a palindrome (7233223327).

The spelling of 5102201312 in words is "five billion, one hundred two million, two hundred one thousand, three hundred twelve".

Divisors: 1 2 4 8 13 16 26 32 52 104 113 208 226 311 349 416 452 622 698 904 1244 1396 1469 1808 2488 2792 2938 3616 4043 4537 4976 5584 5876 8086 9074 9952 11168 11752 16172 18148 23504 32344 35143 36296 39437 47008 64688 70286 72592 78874 108539 129376 140572 145184 157748 217078 281144 315496 434156 456859 512681 562288 630992 868312 913718 1025362 1124576 1261984 1411007 1736624 1827436 2050724 2822014 3473248 3654872 4101448 5644028 7309744 8202896 11288056 12264907 14619488 16405792 22576112 24529814 45152224 49059628 98119256 159443791 196238512 318887582 392477024 637775164 1275550328 2551100656 5102201312