Search a number
-
+
2313101003004 = 2232115841164149
BaseRepresentation
bin100001101010001111100…
…100000100100011111100
322012010111222121210020200
4201222033210010203330
5300344212324044004
64530342434043500
7326054541055431
oct41521744044374
98163458553220
102313101003004
11811a872395a0
12314364a19590
1313a180669b5c
147dd5192db88
15402808e0239
hex21a8f9048fc

2313101003004 has 36 divisors (see below), whose sum is σ = 6378551251800. Its totient is φ = 700939697760.

The previous prime is 2313101002889. The next prime is 2313101003033. The reversal of 2313101003004 is 4003001013132.

2313101003004 is a `hidden beast` number, since 231 + 31 + 0 + 100 + 300 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×23131010030042 (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2920581679 + ... + 2920582470.

Almost surely, 22313101003004 is an apocalyptic number.

It is an amenable number.

2313101003004 is an abundant number, since it is smaller than the sum of its proper divisors (4065450248796).

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

2313101003004 is a wasteful number, since it uses less digits than its factorization.

2313101003004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5841164170 (or 5841164165 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 2313101003004 its reverse (4003001013132), we get a palindrome (6316102016136).

The spelling of 2313101003004 in words is "two trillion, three hundred thirteen billion, one hundred one million, three thousand, four".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 99 132 198 396 5841164149 11682328298 17523492447 23364656596 35046984894 52570477341 64252805639 70093969788 105140954682 128505611278 192758416917 210281909364 257011222556 385516833834 578275250751 771033667668 1156550501502 2313101003004