Search a number
-
+
13303004101023 = 3713376142151283
BaseRepresentation
bin1100000110010101100011…
…0101010111100110011111
31202002202101020011200220110
43001211120311113212133
53220424023022213043
644143152110021103
72542052562100050
oct301453065274637
952082336150813
1013303004101023
11426985500860a
1215aa2651a7793
13756610ca60a0
1433dc2411a727
15181095949b33
hexc1958d5799f

13303004101023 has 128 divisors (see below), whose sum is σ = 22842710861824. Its totient is φ = 6699316377600.

The previous prime is 13303004100989. The next prime is 13303004101061. The reversal of 13303004101023 is 32010140030331.

It is not a de Polignac number, because 13303004101023 - 218 = 13303003838879 is a prime.

It is a super-2 number, since 2×133030041010232 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13303004101073) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 259378140 + ... + 259429422.

It is an arithmetic number, because the mean of its divisors is an integer number (178458678608).

Almost surely, 213303004101023 is an apocalyptic number.

13303004101023 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

13303004101023 is a deficient number, since it is larger than the sum of its proper divisors (9539706760801).

13303004101023 is a wasteful number, since it uses less digits than its factorization.

13303004101023 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 51825.

The product of its (nonzero) digits is 648, while the sum is 21.

Adding to 13303004101023 its reverse (32010140030331), we get a palindrome (45313144131354).

The spelling of 13303004101023 in words is "thirteen trillion, three hundred three billion, four million, one hundred one thousand, twenty-three".

Divisors: 1 3 7 13 21 37 39 61 91 111 183 259 273 421 427 481 777 793 1263 1281 1443 2257 2379 2947 3367 5473 5551 6771 8841 10101 15577 15799 16419 16653 25681 29341 38311 46731 47397 51283 77043 88023 109039 114933 153849 179767 202501 205387 327117 333853 358981 539301 607503 616161 666679 950197 1001559 1076943 1417507 1897471 2000037 2336971 2850591 3128263 4252521 4666753 5692413 6651379 7010913 9384789 12352561 13282297 14000259 19954137 21590143 21897841 24667123 37057683 39846891 40667419 64770429 65693523 74001369 86467927 115745731 122002257 151131001 172669861 259403781 280671859 284671933 347237193 453393003 518009583 798835291 810220117 842015577 854015799 1316998723 1504694503 1964703013 2396505873 2430660351 3950996169 4514083509 5591847037 5894109039 9218991061 10384858783 10532861521 16775541111 17120983399 27656973183 31154576349 31598584563 48728952751 51362950197 72694011481 119846883793 146186858253 218082034443 341102669257 359540651379 633476385763 1023308007771 1900429157289 4434334700341 13303004101023