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2313102144 = 263173312141
BaseRepresentation
bin1000100111011111…
…0010001101000000
312222012111202121210
42021313302031000
514214123232034
61021305450120
7111215021013
oct21167621500
95865452553
102313102144
11a8775a971
125467a0940
132ab2b19c2
1417d2bd37a
15d810d8e9
hex89df2340

2313102144 has 112 divisors (see below), whose sum is σ = 6502700736. Its totient is φ = 723148800.

The previous prime is 2313102119. The next prime is 2313102151. The reversal of 2313102144 is 4412013132.

It is a self number, because there is not a number n which added to its sum of digits gives 2313102144.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1079314 + ... + 1081454.

It is an arithmetic number, because the mean of its divisors is an integer number (58059828).

Almost surely, 22313102144 is an apocalyptic number.

2313102144 is a gapful number since it is divisible by the number (24) 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 2313102144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3251350368).

2313102144 is an abundant number, since it is smaller than the sum of its proper divisors (4189598592).

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

2313102144 is a wasteful number, since it uses less digits than its factorization.

2313102144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2504 (or 2494 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

The square root of 2313102144 is about 48094.7205418641. The cubic root of 2313102144 is about 1322.5078860264.

Adding to 2313102144 its reverse (4412013132), we get a palindrome (6725115276).

The spelling of 2313102144 in words is "two billion, three hundred thirteen million, one hundred two thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 48 51 64 68 96 102 136 192 204 272 331 408 544 662 816 993 1088 1324 1632 1986 2141 2648 3264 3972 4282 5296 5627 6423 7944 8564 10592 11254 12846 15888 16881 17128 21184 22508 25692 31776 33762 34256 36397 45016 51384 63552 67524 68512 72794 90032 102768 109191 135048 137024 145588 180064 205536 218382 270096 291176 360128 411072 436764 540192 582352 708671 873528 1080384 1164704 1417342 1747056 2126013 2329408 2834684 3494112 4252026 5669368 6988224 8504052 11338736 12047407 17008104 22677472 24094814 34016208 36142221 45354944 48189628 68032416 72284442 96379256 136064832 144568884 192758512 289137768 385517024 578275536 771034048 1156551072 2313102144