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13136510800 = 245275578423
BaseRepresentation
bin11000011101111111…
…10011111101010000
31020220111122220002001
430032333303331100
5203400421321200
610011305003344
7643351333210
oct141677637520
936814586061
1013136510800
115631243aa6
122667483554
131314759b1a
148c8942240
1551d41976a
hex30eff3f50

13136510800 has 120 divisors (see below), whose sum is σ = 36138151296. Its totient is φ = 4495326720.

The previous prime is 13136510771. The next prime is 13136510801. The reversal of 13136510800 is 801563131.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13136510801) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1555389 + ... + 1563811.

Almost surely, 213136510800 is an apocalyptic number.

13136510800 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 13136510800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18069075648).

13136510800 is an abundant number, since it is smaller than the sum of its proper divisors (23001640496).

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

13136510800 is a wasteful number, since it uses less digits than its factorization.

13136510800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9005 (or 8994 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 28.

The spelling of 13136510800 in words is "thirteen billion, one hundred thirty-six million, five hundred ten thousand, eight hundred".

Divisors: 1 2 4 5 7 8 10 14 16 20 25 28 35 40 50 56 70 80 100 112 140 175 200 280 350 400 557 560 700 1114 1400 2228 2785 2800 3899 4456 5570 7798 8423 8912 11140 13925 15596 16846 19495 22280 27850 31192 33692 38990 42115 44560 55700 58961 62384 67384 77980 84230 97475 111400 117922 134768 155960 168460 194950 210575 222800 235844 294805 311920 336920 389900 421150 471688 589610 673840 779800 842300 943376 1179220 1474025 1559600 1684600 2358440 2948050 3369200 4691611 4716880 5896100 9383222 11792200 18766444 23458055 23584400 32841277 37532888 46916110 65682554 75065776 93832220 117290275 131365108 164206385 187664440 234580550 262730216 328412770 375328880 469161100 525460432 656825540 821031925 938322200 1313651080 1642063850 1876644400 2627302160 3284127700 6568255400 13136510800