Search a number
-
+
13103102012 = 227111321913249
BaseRepresentation
bin11000011010000000…
…10111100000111100
31020211011210112211112
430031000113200330
5203313343231022
610004112541152
7642464346410
oct141500274074
936734715745
1013103102012
1156143a5530
1226582517b8
13130a860400
148c4326d40
1551a51a8e2
hex30d01783c

13103102012 has 144 divisors (see below), whose sum is σ = 32588640000. Its totient is φ = 4464046080.

The previous prime is 13103102003. The next prime is 13103102057. The reversal of 13103102012 is 21020130131.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 982364 + ... + 995612.

It is an arithmetic number, because the mean of its divisors is an integer number (226310000).

Almost surely, 213103102012 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13103102012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16294320000).

13103102012 is an abundant number, since it is smaller than the sum of its proper divisors (19485537988).

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

13103102012 is a wasteful number, since it uses less digits than its factorization.

13103102012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13316 (or 13301 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 14.

Adding to 13103102012 its reverse (21020130131), we get a palindrome (34123232143).

The spelling of 13103102012 in words is "thirteen billion, one hundred three million, one hundred two thousand, twelve".

Divisors: 1 2 4 7 11 13 14 19 22 26 28 38 44 52 76 77 91 133 143 154 169 182 209 247 266 286 308 338 364 418 494 532 572 676 836 988 1001 1183 1463 1729 1859 2002 2366 2717 2926 3211 3458 3718 4004 4732 5434 5852 6422 6916 7436 10868 12844 13013 13249 19019 22477 26026 26498 35321 38038 44954 52052 52996 70642 76076 89908 92743 141284 145739 172237 185486 247247 251731 291478 344474 370972 494494 503462 582956 688948 988988 1006924 1020173 1205659 1762117 1894607 2040346 2239081 2411318 2769041 3272503 3524234 3789214 4080692 4478162 4822636 5538082 6545006 7048468 7578428 8956324 11076164 13090012 13262249 15673567 19383287 22907521 24629891 26524498 31347134 35997533 38766574 42542539 45815042 49259782 53048996 62694268 71995066 77533148 85085078 91630084 98519564 143990132 170170156 172409237 251982731 297797773 344818474 467967929 503965462 595595546 689636948 935935858 1007930924 1191191092 1871871716 3275775503 6551551006 13103102012