Search a number
-
+
13323303023030 = 257111311311117673
BaseRepresentation
bin1100000111100001001010…
…1111100111000110110110
31202011200202220011210001122
43001320102233213012312
53221242111033214110
644200350234223542
72543401604063510
oct301702257470666
952150686153048
1013323303023030
114277421245110
1215b218b284bb2
137584c7591c40
14340bcbdb4bb0
15181882a60255
hexc1e12be71b6

13323303023030 has 128 divisors (see below), whose sum is σ = 32202655543296. Its totient is φ = 3832906521600.

The previous prime is 13323303022949. The next prime is 13323303023039. The reversal of 13323303023030 is 3032030332331.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13323303023039) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 113164274 + ... + 113281946.

It is an arithmetic number, because the mean of its divisors is an integer number (251583246432).

Almost surely, 213323303023030 is an apocalyptic number.

13323303023030 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

13323303023030 is an abundant number, since it is smaller than the sum of its proper divisors (18879352520266).

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

13323303023030 is a wasteful number, since it uses less digits than its factorization.

13323303023030 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 129022.

The product of its (nonzero) digits is 8748, while the sum is 26.

Adding to 13323303023030 its reverse (3032030332331), we get a palindrome (16355333355361).

The spelling of 13323303023030 in words is "thirteen trillion, three hundred twenty-three billion, three hundred three million, twenty-three thousand, thirty".

Divisors: 1 2 5 7 10 11 13 14 22 26 35 55 65 70 77 91 110 130 143 154 182 286 385 455 715 770 910 1001 1430 2002 5005 10010 11311 22622 56555 79177 113110 117673 124421 147043 158354 235346 248842 294086 395885 588365 622105 735215 791770 823711 870947 1029301 1176730 1244210 1294403 1470430 1529749 1617473 1647422 1741894 2058602 2588806 3059498 3234946 4118555 4354735 5146505 6472015 7648745 8087365 8237110 8709470 9060821 10293010 10708243 11322311 12944030 15297490 16174730 16827239 18121642 21416486 22644622 33654478 45304105 53541215 56611555 84136195 90608210 107082430 113223110 117790673 168272390 235581346 588953365 1177906730 1330999303 2661998606 6654996515 9316995121 13309993030 14640992333 17302990939 18633990242 29281984666 34605981878 46584975605 73204961665 86514954695 93169951210 102486946331 121120936573 146409923330 173029909390 190332900329 204973892662 242241873146 380665800658 512434731655 605604682865 951664501645 1024869463310 1211209365730 1332330302303 1903329003290 2664660604606 6661651511515 13323303023030