Search a number
-
+
2413312103202 = 23711132691493743
BaseRepresentation
bin100011000111100100100…
…111000101001100100010
322112201011212111010112020
4203013210213011030202
5304014430344300302
65044354341442310
7336233060262420
oct43074447051442
98481155433466
102413312103202
11850530849370
1232b871410396
13146760b1c150
1484b3aa22110
1542b98427ebc
hex231e49c5322

2413312103202 has 128 divisors (see below), whose sum is σ = 6504597872640. Its totient is φ = 576464912640.

The previous prime is 2413312103179. The next prime is 2413312103233. The reversal of 2413312103202 is 2023012133142.

It is a super-2 number, since 2×24133121032022 (a number of 26 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 868743 + ... + 2362485.

It is an arithmetic number, because the mean of its divisors is an integer number (50817170880).

Almost surely, 22413312103202 is an apocalyptic number.

2413312103202 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 2413312103202, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3252298936320).

2413312103202 is an abundant number, since it is smaller than the sum of its proper divisors (4091285769438).

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

2413312103202 is a wasteful number, since it uses less digits than its factorization.

2413312103202 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1494048.

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 2413312103202 its reverse (2023012133142), we get a palindrome (4436324236344).

The spelling of 2413312103202 in words is "two trillion, four hundred thirteen billion, three hundred twelve million, one hundred three thousand, two hundred two".

Divisors: 1 2 3 6 7 11 13 14 21 22 26 33 39 42 66 77 78 91 143 154 182 231 269 273 286 429 462 538 546 807 858 1001 1614 1883 2002 2959 3003 3497 3766 5649 5918 6006 6994 8877 10491 11298 17754 20713 20982 24479 38467 41426 48958 62139 73437 76934 115401 124278 146874 230802 269269 538538 807807 1493743 1615614 2987486 4481229 8962458 10456201 16431173 19418659 20912402 31368603 32862346 38837318 49293519 58255977 62737206 98587038 115018211 116511954 135930613 213605249 230036422 271861226 345054633 401816867 407791839 427210498 640815747 690109266 803633734 815583678 1205450601 1281631494 1495236743 2410901202 2812718069 2990473486 4419985537 4485710229 5223619271 5625436138 8438154207 8839971074 8971420458 10447238542 13259956611 15670857813 16876308414 26519913222 30939898759 31341715626 36565334897 57459811981 61879797518 73130669794 92819696277 109696004691 114919623962 172379435943 185639392554 219392009382 344758871886 402218683867 804437367734 1206656051601 2413312103202