Search a number
-
+
10202003310 = 2357315972917
BaseRepresentation
bin10011000000001011…
…00011011101101110
3222022222212110120110
421200011203131232
5131343203101220
64404200200450
7510546411612
oct114005433556
928288773513
1010202003310
1143658460a4
121b88769126
13c677c6565
146cad07342
153ea9b0be0
hex26016376e

10202003310 has 64 divisors (see below), whose sum is σ = 24844272192. Its totient is φ = 2680667136.

The previous prime is 10202003291. The next prime is 10202003333. The reversal of 10202003310 is 1330020201.

It is a happy number.

It is a super-2 number, since 2×102020033102 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3495972 + ... + 3498888.

It is an arithmetic number, because the mean of its divisors is an integer number (388191753).

Almost surely, 210202003310 is an apocalyptic number.

10202003310 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 10202003310, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12422136096).

10202003310 is an abundant number, since it is smaller than the sum of its proper divisors (14642268882).

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

10202003310 is a wasteful number, since it uses less digits than its factorization.

10202003310 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4597.

The product of its (nonzero) digits is 36, while the sum is 12.

Adding to 10202003310 its reverse (1330020201), we get a palindrome (11532023511).

The spelling of 10202003310 in words is "ten billion, two hundred two million, three thousand, three hundred ten".

Divisors: 1 2 3 5 6 10 15 30 73 146 219 365 438 730 1095 1597 2190 2917 3194 4791 5834 7985 8751 9582 14585 15970 17502 23955 29170 43755 47910 87510 116581 212941 233162 349743 425882 582905 638823 699486 1064705 1165810 1277646 1748715 2129410 3194115 3497430 4658449 6388230 9316898 13975347 23292245 27950694 46584490 69876735 139753470 340066777 680133554 1020200331 1700333885 2040400662 3400667770 5101001655 10202003310