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2313100430432 = 2511291271784227
BaseRepresentation
bin100001101010001111100…
…001111000110001100000
322012010111221112200211022
4201222033201320301200
5300344212202233212
64530342413505012
7326054533152221
oct41521741706140
98163457480738
102313100430432
11811a869883a0
123143647a2168
1313a1804c935c
147dd51821248
154028082a772
hex21a8f878c60

2313100430432 has 96 divisors (see below), whose sum is σ = 5179685253120. Its totient is φ = 1007159892480.

The previous prime is 2313100430401. The next prime is 2313100430437. The reversal of 2313100430432 is 2340340013132.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2313100430437) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 404303 + ... + 2188529.

It is an arithmetic number, because the mean of its divisors is an integer number (53955054720).

Almost surely, 22313100430432 is an apocalyptic number.

2313100430432 is a gapful number since it is divisible by the number (22) 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 2313100430432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2589842626560).

2313100430432 is an abundant number, since it is smaller than the sum of its proper divisors (2866584822688).

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

2313100430432 is a wasteful number, since it uses less digits than its factorization.

2313100430432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1784404 (or 1784396 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 26.

Adding to 2313100430432 its reverse (2340340013132), we get a palindrome (4653440443564).

The spelling of 2313100430432 in words is "two trillion, three hundred thirteen billion, one hundred million, four hundred thirty thousand, four hundred thirty-two".

Divisors: 1 2 4 8 11 16 22 29 32 44 58 88 116 127 176 232 254 319 352 464 508 638 928 1016 1276 1397 2032 2552 2794 3683 4064 5104 5588 7366 10208 11176 14732 22352 29464 40513 44704 58928 81026 117856 162052 324104 648208 1296416 1784227 3568454 7136908 14273816 19626497 28547632 39252994 51742583 57095264 78505988 103485166 157011976 206970332 226596829 314023952 413940664 453193658 569168413 628047904 827881328 906387316 1138336826 1655762656 1812774632 2276673652 2492565119 3625549264 4553347304 4985130238 6571308041 7251098528 9106694608 9970260476 13142616082 18213389216 19940520952 26285232164 39881041904 52570464328 72284388451 79762083808 105140928656 144568776902 210281857312 289137553804 578275107608 1156550215216 2313100430432