Search a number
-
+
11334414300 = 22352113434671
BaseRepresentation
bin10101000111001010…
…10110111111011100
31002020220200220102020
422203211112333130
5141203102224200
65112411500140
7550606634436
oct124345267734
932226626366
1011334414300
114896a88250
122243a57650
1310b82b4731
14797481656
154650e9ea0
hex2a3956fdc

11334414300 has 72 divisors (see below), whose sum is σ = 35775543552. Its totient is φ = 2747736000.

The previous prime is 11334414281. The next prime is 11334414307. The reversal of 11334414300 is 341443311.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11334414307) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1714036 + ... + 1720635.

Almost surely, 211334414300 is an apocalyptic number.

11334414300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11334414300 is an abundant number, since it is smaller than the sum of its proper divisors (24441129252).

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

11334414300 is a wasteful number, since it uses less digits than its factorization.

11334414300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3434699 (or 3434692 counting only the distinct ones).

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

Adding to 11334414300 its reverse (341443311), we get a palindrome (11675857611).

The spelling of 11334414300 in words is "eleven billion, three hundred thirty-four million, four hundred fourteen thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 25 30 33 44 50 55 60 66 75 100 110 132 150 165 220 275 300 330 550 660 825 1100 1650 3300 3434671 6869342 10304013 13738684 17173355 20608026 34346710 37781381 41216052 51520065 68693420 75562762 85866775 103040130 113344143 151125524 171733550 188906905 206080260 226688286 257600325 343467100 377813810 453376572 515200650 566720715 755627620 944534525 1030401300 1133441430 1889069050 2266882860 2833603575 3778138100 5667207150 11334414300