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20135313200 = 2452234153381
BaseRepresentation
bin10010110000001010…
…000111111100110000
31220222021010220001202
4102300022013330300
5312214120010300
613130001350332
71311654224012
oct226012077460
956867126052
1020135313200
1185a294a912
123a9b3383a8
131b8b733912
14d9026a1b2
157cca98ad5
hex4b0287f30

20135313200 has 120 divisors (see below), whose sum is σ = 51710502816. Its totient is φ = 7515904000.

The previous prime is 20135313199. The next prime is 20135313277. The reversal of 20135313200 is 231353102.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 350510 + ... + 403890.

Almost surely, 220135313200 is an apocalyptic number.

20135313200 is a gapful number since it is divisible by the number (20) 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 20135313200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25855251408).

20135313200 is an abundant number, since it is smaller than the sum of its proper divisors (31575189616).

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

20135313200 is a wasteful number, since it uses less digits than its factorization.

20135313200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53463 (or 53452 counting only the distinct ones).

The product of its (nonzero) digits is 540, while the sum is 20.

Adding to 20135313200 its reverse (231353102), we get a palindrome (20366666302).

The spelling of 20135313200 in words is "twenty billion, one hundred thirty-five million, three hundred thirteen thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 23 25 40 41 46 50 80 82 92 100 115 164 184 200 205 230 328 368 400 410 460 575 656 820 920 943 1025 1150 1640 1840 1886 2050 2300 3280 3772 4100 4600 4715 7544 8200 9200 9430 15088 16400 18860 23575 37720 47150 53381 75440 94300 106762 188600 213524 266905 377200 427048 533810 854096 1067620 1227763 1334525 2135240 2188621 2455526 2669050 4270480 4377242 4911052 5338100 6138815 8754484 9822104 10676200 10943105 12277630 17508968 19644208 21352400 21886210 24555260 30694075 35017936 43772420 49110520 50338283 54715525 61388150 87544840 98221040 100676566 109431050 122776300 175089680 201353132 218862100 245552600 251691415 402706264 437724200 491105200 503382830 805412528 875448400 1006765660 1258457075 2013531320 2516914150 4027062640 5033828300 10067656600 20135313200