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13102141444 = 2273161353701
BaseRepresentation
bin11000011001111001…
…01101000000000100
31020211002222202011221
430030330231000010
5203313122011234
610004040210124
7642453236050
oct141474550004
936732882157
1013102141444
1156138a9877
122657a69944
13130a5b5122
148c4156c60
1551a3caeb4
hex30cf2d004

13102141444 has 96 divisors (see below), whose sum is σ = 27610232832. Its totient is φ = 5322240000.

The previous prime is 13102141441. The next prime is 13102141477. The reversal of 13102141444 is 44414120131.

It is a super-2 number, since 2×131021414442 (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (13102141441) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 18690294 + ... + 18690994.

It is an arithmetic number, because the mean of its divisors is an integer number (287606592).

Almost surely, 213102141444 is an apocalyptic number.

13102141444 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13102141444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13805116416).

13102141444 is an abundant number, since it is smaller than the sum of its proper divisors (14508091388).

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

13102141444 is a wasteful number, since it uses less digits than its factorization.

13102141444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1157 (or 1155 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 25.

Adding to 13102141444 its reverse (44414120131), we get a palindrome (57516261575).

The spelling of 13102141444 in words is "thirteen billion, one hundred two million, one hundred forty-one thousand, four hundred forty-four".

Divisors: 1 2 4 7 14 28 31 61 62 122 124 217 244 353 427 434 701 706 854 868 1402 1412 1708 1891 2471 2804 3782 4907 4942 7564 9814 9884 10943 13237 19628 21533 21731 21886 26474 42761 43066 43462 43772 52948 76601 85522 86132 86924 150731 152117 153202 171044 247453 299327 301462 304234 306404 494906 598654 602924 608468 667523 989812 1197308 1325591 1335046 1732171 2651182 2670092 3464342 4672661 5302364 6928684 7671043 9279137 9345322 15094633 15342086 18558274 18690644 30189266 30684172 37116548 53697301 60378532 105662431 107394602 211324862 214789204 422649724 467933623 935867246 1871734492 3275535361 6551070722 13102141444