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2320100013 = 3711191393803
BaseRepresentation
bin1000101001001001…
…1110101010101101
312222200200021220010
42022102132222231
514222421200023
61022115443433
7111331344660
oct21222365255
95880607803
102320100013
11a906aa530
12548bb6579
132ac891c5a
141801c16d7
15d8a42093
hex8a49eaad

2320100013 has 64 divisors (see below), whose sum is σ = 4090060800. Its totient is φ = 1133300160.

The previous prime is 2320099993. The next prime is 2320100023. The reversal of 2320100013 is 3100010232.

It is a happy number.

2320100013 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 2320100013 - 25 = 2320099981 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2320100023) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 608170 + ... + 611972.

It is an arithmetic number, because the mean of its divisors is an integer number (63907200).

Almost surely, 22320100013 is an apocalyptic number.

It is an amenable number.

2320100013 is a deficient number, since it is larger than the sum of its proper divisors (1769960787).

2320100013 is a wasteful number, since it uses less digits than its factorization.

2320100013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3982.

The product of its (nonzero) digits is 36, while the sum is 12.

The square root of 2320100013 is about 48167.4165074275. The cubic root of 2320100013 is about 1323.8402122239.

Adding to 2320100013 its reverse (3100010232), we get a palindrome (5420110245).

The spelling of 2320100013 in words is "two billion, three hundred twenty million, one hundred thousand, thirteen".

Divisors: 1 3 7 11 19 21 33 57 77 133 139 209 231 399 417 627 973 1463 1529 2641 2919 3803 4389 4587 7923 10703 11409 18487 26621 29051 32109 41833 55461 72257 79863 87153 125499 203357 216771 292831 505799 528617 610071 794827 878493 1517397 1585851 2384481 3700319 5563789 5814787 10043723 11100957 16691367 17444361 30131169 40703509 70306061 110480953 122110527 210918183 331442859 773366671 2320100013