Search a number
-
+
13110300201330 = 23251719450990719
BaseRepresentation
bin1011111011000111101011…
…0010010101000101110010
31201102022222100210022110100
42332301322302111011302
53204244343322420310
643514442212413230
72522121314010363
oct276617262250562
951368870708410
1013110300201330
1141a5057751582
121578a45017216
137413b0423937
14334783031b6a
1517b067cccec0
hexbec7ac95172

13110300201330 has 96 divisors (see below), whose sum is σ = 37991458252800. Its totient is φ = 3117247842816.

The previous prime is 13110300201293. The next prime is 13110300201337. The reversal of 13110300201330 is 3310200301131.

It is a happy number.

13110300201330 is a `hidden beast` number, since 1 + 3 + 1 + 10 + 300 + 20 + 1 + 330 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (13110300201337) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 225466290 + ... + 225524429.

It is an arithmetic number, because the mean of its divisors is an integer number (395744356800).

Almost surely, 213110300201330 is an apocalyptic number.

13110300201330 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

13110300201330 is an abundant number, since it is smaller than the sum of its proper divisors (24881158051470).

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

13110300201330 is a wasteful number, since it uses less digits than its factorization.

13110300201330 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 450990768 (or 450990765 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

Adding to 13110300201330 its reverse (3310200301131), we get a palindrome (16420500502461).

The spelling of 13110300201330 in words is "thirteen trillion, one hundred ten billion, three hundred million, two hundred one thousand, three hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 17 18 19 30 34 38 45 51 57 85 90 95 102 114 153 170 171 190 255 285 306 323 342 510 570 646 765 855 969 1530 1615 1710 1938 2907 3230 4845 5814 9690 14535 29070 450990719 901981438 1352972157 2254953595 2705944314 4058916471 4509907190 6764860785 7666842223 8117832942 8568823661 13529721570 15333684446 17137647322 20294582355 23000526669 25706470983 38334211115 40589164710 42844118305 46001053338 51412941966 69001580007 76668422230 77119412949 85688236610 115002633345 128532354915 138003160014 145670002237 154238825898 230005266690 257064709830 291340004474 345007900035 385597064745 437010006711 690015800070 728350011185 771194129490 874020013422 1311030020133 1456700022370 2185050033555 2622060040266 4370100067110 6555150100665 13110300201330