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13103103321 = 3371129713061
BaseRepresentation
bin11000011010000000…
…10111110101011001
31020211011210121122000
430031000113311121
5203313343301241
610004112551213
7642464353260
oct141500276531
936734717560
1013103103321
1156143a6510
122658252509
13130a860b99
148c43275d7
1551a51aeb6
hex30d017d59

13103103321 has 128 divisors (see below), whose sum is σ = 25397452800. Its totient is φ = 6477408000.

The previous prime is 13103103317. The next prime is 13103103329. The reversal of 13103103321 is 12330130131.

It is a happy number.

13103103321 is a `hidden beast` number, since 1 + 31 + 0 + 310 + 3 + 321 = 666.

It is not a de Polignac number, because 13103103321 - 22 = 13103103317 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 13103103294 and 13103103303.

It is not an unprimeable number, because it can be changed into a prime (13103103329) 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, 4279131 + ... + 4282191.

It is an arithmetic number, because the mean of its divisors is an integer number (198417600).

Almost surely, 213103103321 is an apocalyptic number.

13103103321 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

13103103321 is a deficient number, since it is larger than the sum of its proper divisors (12294349479).

13103103321 is a wasteful number, since it uses less digits than its factorization.

13103103321 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3188 (or 3182 counting only the distinct ones).

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

Adding to 13103103321 its reverse (12330130131), we get a palindrome (25433233452).

The spelling of 13103103321 in words is "thirteen billion, one hundred three million, one hundred three thousand, three hundred twenty-one".

Divisors: 1 3 7 9 11 21 27 29 33 63 71 77 87 99 189 203 213 231 261 297 319 497 609 639 693 781 783 957 1491 1827 1917 2059 2079 2233 2343 2871 3061 4473 5467 5481 6177 6699 7029 8613 9183 13419 14413 16401 18531 20097 21087 21427 22649 27549 33671 43239 49203 55593 60291 64281 67947 82647 88769 101013 129717 147609 158543 192843 203841 217331 235697 266307 303039 389151 475629 578529 611523 621383 651993 707091 798921 909117 976459 1426887 1521317 1864149 1955979 2121273 2390641 2396763 2929377 4280661 4563951 5592447 5867937 6302599 6363819 6835213 7171923 8788131 13691853 16734487 16777341 18907797 20505639 21515769 26364393 41075559 44118193 50203461 56723391 61516917 64547307 69328589 132354579 150610383 170170173 184550751 207985767 397063737 451831149 485300123 623957301 1191191211 1455900369 1871871903 4367701107 13103103321