Search a number
-
+
23000121002310 = 23523126112643209
BaseRepresentation
bin1010011101011001000100…
…00010101100100101000110
310000102210022222102100001220
411032230202002230211012
511003313221434033220
6120530035411101210
74562463303543264
oct516544202544506
9100383288370056
1023000121002310
11736832976a621
1226b56b1ba1806
13caab95bcbb2a
145972d7251434
1529d44502c540
hex14eb220ac946

23000121002310 has 64 divisors (see below), whose sum is σ = 57604892290560. Its totient is φ = 5866230106880.

The previous prime is 23000121002303. The next prime is 23000121002311. The reversal of 23000121002310 is 1320012100032.

It is a super-2 number, since 2×230001210023102 (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 23000121002310.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23000121002311) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 7379986 + ... + 10023194.

It is an arithmetic number, because the mean of its divisors is an integer number (900076442040).

Almost surely, 223000121002310 is an apocalyptic number.

23000121002310 is an abundant number, since it is smaller than the sum of its proper divisors (34604771288250).

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

23000121002310 is a wasteful number, since it uses less digits than its factorization.

23000121002310 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2655853.

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 23000121002310 its reverse (1320012100032), we get a palindrome (24320133102342).

The spelling of 23000121002310 in words is "twenty-three trillion, one hundred twenty-one million, two thousand, three hundred ten".

Divisors: 1 2 3 5 6 10 15 23 30 46 69 115 138 230 345 690 12611 25222 37833 63055 75666 126110 189165 290053 378330 580106 870159 1450265 1740318 2643209 2900530 4350795 5286418 7929627 8701590 13216045 15859254 26432090 39648135 60793807 79296270 121587614 182381421 303969035 364762842 607938070 911907105 1823814210 33333508699 66667017398 100000526097 166667543495 200001052194 333335086990 500002630485 766670700077 1000005260970 1533341400154 2300012100231 3833353500385 4600024200462 7666707000770 11500060501155 23000121002310