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13189810000 = 24542357347
BaseRepresentation
bin11000100100010110…
…01000011101010000
31021001012221202211111
430102023020131100
5204003042410000
610020451223104
7644566351363
oct142213103520
937035852744
1013189810000
115659338524
1226812a7a94
1313227cbb03
148d1a580da
15522e46cba
hex3122c8750

13189810000 has 100 divisors (see below), whose sum is σ = 33322858272. Its totient is φ = 5046448000.

The previous prime is 13189809991. The next prime is 13189810001. The reversal of 13189810000 is 1898131.

It is a tau number, because it is divible by the number of its divisors (100).

It is a super-2 number, since 2×131898100002 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13189810001) 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 19 ways as a sum of consecutive naturals, for example, 201327 + ... + 258673.

Almost surely, 213189810000 is an apocalyptic number.

13189810000 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 13189810000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16661429136).

13189810000 is an abundant number, since it is smaller than the sum of its proper divisors (20133048272).

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

13189810000 is an equidigital number, since it uses as much as digits as its factorization.

13189810000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57398 (or 57377 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 31.

The spelling of 13189810000 in words is "thirteen billion, one hundred eighty-nine million, eight hundred ten thousand".

Divisors: 1 2 4 5 8 10 16 20 23 25 40 46 50 80 92 100 115 125 184 200 230 250 368 400 460 500 575 625 920 1000 1150 1250 1840 2000 2300 2500 2875 4600 5000 5750 9200 10000 11500 14375 23000 28750 46000 57347 57500 114694 115000 229388 230000 286735 458776 573470 917552 1146940 1318981 1433675 2293880 2637962 2867350 4587760 5275924 5734700 6594905 7168375 10551848 11469400 13189810 14336750 21103696 22938800 26379620 28673500 32974525 35841875 52759240 57347000 65949050 71683750 105518480 114694000 131898100 143367500 164872625 263796200 286735000 329745250 527592400 573470000 659490500 824363125 1318981000 1648726250 2637962000 3297452500 6594905000 13189810000