Search a number
-
+
2829383010102 = 2311238839100343
BaseRepresentation
bin101001001011000100010…
…111101000011100110110
3101000111010120022011022010
4221023010113220130312
5332324034022310402
610003444533145050
7411262514525415
oct51130427503466
911014116264263
102829383010102
119a0a30a46a00
1239842a78b186
13176a6ab0bc4c
149ad2b33347c
154d8eab71a6c
hex292c45e8736

2829383010102 has 48 divisors (see below), whose sum is σ = 6220188092160. Its totient is φ = 857358171120.

The previous prime is 2829383010089. The next prime is 2829383010143. The reversal of 2829383010102 is 2010103839282.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 28146943 + ... + 28247285.

It is an arithmetic number, because the mean of its divisors is an integer number (129587251920).

Almost surely, 22829383010102 is an apocalyptic number.

2829383010102 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

2829383010102 is an abundant number, since it is smaller than the sum of its proper divisors (3390805082058).

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

2829383010102 is a wasteful number, since it uses less digits than its factorization.

2829383010102 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 139209 (or 139198 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 39.

Adding to 2829383010102 its reverse (2010103839282), we get a palindrome (4839486849384).

The spelling of 2829383010102 in words is "two trillion, eight hundred twenty-nine billion, three hundred eighty-three million, ten thousand, one hundred two".

Divisors: 1 2 3 6 11 22 33 66 121 242 363 726 38839 77678 100343 116517 200686 233034 301029 427229 602058 854458 1103773 1281687 2207546 2563374 3311319 4699519 6622638 9399038 12141503 14098557 24283006 28197114 36424509 72849018 3897221777 7794443554 11691665331 23383330662 42869439547 85738879094 128608318641 257216637282 471563835017 943127670034 1414691505051 2829383010102