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2313304112025 = 34527324632
BaseRepresentation
bin100001101010011011101…
…010110111101110011001
322012011001010210210110000
4201222123222313232121
5300400121323041100
64530414531243213
7326062555342134
oct41523352675631
98164033723400
102313304112025
11812080955395
12314400a49509
1313a1b37722ca
147dd708c121b
1540293660900
hex21a9bab7b99

2313304112025 has 135 divisors (see below), whose sum is σ = 4353945863949. Its totient is φ = 1214233130880.

The previous prime is 2313304112003. The next prime is 2313304112029. The reversal of 2313304112025 is 5202114033132.

The square root of 2313304112025 is 1520955.

It is a perfect power (a square), and thus also a powerful number.

2313304112025 is a `hidden beast` number, since 2 + 3 + 13 + 30 + 411 + 202 + 5 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 12658275081 + 2300645836944 = 112509^2 + 1516788^2 .

It is a tau number, because it is divible by the number of its divisors (135).

It is not a de Polignac number, because 2313304112025 - 221 = 2313302014873 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 2313304112025.

It is not an unprimeable number, because it can be changed into a prime (2313304112029) by changing a digit.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 4996336944 + ... + 4996337406.

Almost surely, 22313304112025 is an apocalyptic number.

2313304112025 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

2313304112025 is the 1520955-th square number.

2313304112025 is the 760478-th centered octagonal number.

It is an amenable number.

2313304112025 is a deficient number, since it is larger than the sum of its proper divisors (2040641751924).

2313304112025 is an frugal number, since it uses more digits than its factorization.

2313304112025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1094 (or 544 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

Adding to 2313304112025 its reverse (5202114033132), we get a palindrome (7515418145157).

The spelling of 2313304112025 in words is "two trillion, three hundred thirteen billion, three hundred four million, one hundred twelve thousand, twenty-five".

Divisors: 1 3 5 9 15 25 27 45 73 75 81 135 219 225 365 405 463 657 675 1095 1389 1825 1971 2025 2315 3285 4167 5329 5475 5913 6945 9855 11575 12501 15987 16425 20835 26645 29565 33799 34725 37503 47961 49275 62505 79935 101397 104175 133225 143883 147825 168995 187515 214369 239805 304191 312525 399675 431649 506985 643107 719415 844975 912573 937575 1071845 1199025 1520955 1929321 2158245 2467327 2534925 2737719 3215535 3597075 4562865 5359225 5787963 7401981 7604775 9646605 10791225 12336635 13688595 15648937 16077675 17363889 22205943 22814325 28939815 37009905 46946811 48233025 61683175 66617829 68442975 78244685 86819445 111029715 140840433 144699075 185049525 199853487 234734055 333089145 391223425 422521299 434097225 555148575 704202165 999267435 1142372401 1173670275 1267563897 1665445725 2112606495 3427117203 3521010825 4996337175 5711862005 6337819485 10281351609 10563032475 17135586015 28559310025 30844054827 31689097425 51406758045 85677930075 92532164481 154220274135 257033790225 462660822405 771101370675 2313304112025