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13100023400 = 2352314394813
BaseRepresentation
bin11000011001101001…
…00111111001101000
31020210222000010202212
430030310213321220
5203312101222100
610003522544252
7642426235022
oct141464477150
936728003685
1013100023400
115612692522
122657208088
13130a023049
148c3b65012
1551a10d635
hex30cd27e68

13100023400 has 96 divisors (see below), whose sum is σ = 31518220800. Its totient is φ = 5058374400.

The previous prime is 13100023397. The next prime is 13100023403. The reversal of 13100023400 is 432000131.

13100023400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (13100023397) and next prime (13100023403).

It is a super-2 number, since 2×131000234002 (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (13100023403) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2719394 + ... + 2724206.

It is an arithmetic number, because the mean of its divisors is an integer number (328314800).

Almost surely, 213100023400 is an apocalyptic number.

13100023400 is a gapful number since it is divisible by the number (10) 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 13100023400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15759110400).

13100023400 is an abundant number, since it is smaller than the sum of its proper divisors (18418197400).

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

13100023400 is a wasteful number, since it uses less digits than its factorization.

13100023400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5299 (or 5290 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 14.

Adding to 13100023400 its reverse (432000131), we get a palindrome (13532023531).

The spelling of 13100023400 in words is "thirteen billion, one hundred million, twenty-three thousand, four hundred".

Divisors: 1 2 4 5 8 10 20 25 31 40 50 62 100 124 155 200 248 310 439 620 775 878 1240 1550 1756 2195 3100 3512 4390 4813 6200 8780 9626 10975 13609 17560 19252 21950 24065 27218 38504 43900 48130 54436 68045 87800 96260 108872 120325 136090 149203 192520 240650 272180 298406 340225 481300 544360 596812 680450 746015 962600 1193624 1360900 1492030 2112907 2721800 2984060 3730075 4225814 5968120 7460150 8451628 10564535 14920300 16903256 21129070 29840600 42258140 52822675 65500117 84516280 105645350 131000234 211290700 262000468 327500585 422581400 524000936 655001170 1310002340 1637502925 2620004680 3275005850 6550011700 13100023400