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20113433200 = 2452725128619
BaseRepresentation
bin10010101110110110…
…101010001001110000
31220220201222021100101
4102232312222021300
5312143014330300
613123500402144
71311300234640
oct225666521160
956821867311
1020113433200
118591566073
123a93b46354
131b87042883
14d8b3b2520
157cabc5b6a
hex4aedaa270

20113433200 has 120 divisors (see below), whose sum is σ = 55447701120. Its totient is φ = 6868320000.

The previous prime is 20113433107. The next prime is 20113433257. The reversal of 20113433200 is 233431102.

It is a congruent number.

It is an unprimeable number.

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, 688491 + ... + 717109.

It is an arithmetic number, because the mean of its divisors is an integer number (462064176).

Almost surely, 220113433200 is an apocalyptic number.

20113433200 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 20113433200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27723850560).

20113433200 is an abundant number, since it is smaller than the sum of its proper divisors (35334267920).

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

20113433200 is a wasteful number, since it uses less digits than its factorization.

20113433200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28895 (or 28884 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 19.

Adding to 20113433200 its reverse (233431102), we get a palindrome (20346864302).

The spelling of 20113433200 in words is "twenty billion, one hundred thirteen million, four hundred thirty-three thousand, two hundred".

Divisors: 1 2 4 5 7 8 10 14 16 20 25 28 35 40 50 56 70 80 100 112 140 175 200 251 280 350 400 502 560 700 1004 1255 1400 1757 2008 2510 2800 3514 4016 5020 6275 7028 8785 10040 12550 14056 17570 20080 25100 28112 28619 35140 43925 50200 57238 70280 87850 100400 114476 140560 143095 175700 200333 228952 286190 351400 400666 457904 572380 702800 715475 801332 1001665 1144760 1430950 1602664 2003330 2289520 2861900 3205328 4006660 5008325 5723800 7183369 8013320 10016650 11447600 14366738 16026640 20033300 28733476 35916845 40066600 50283583 57466952 71833690 80133200 100567166 114933904 143667380 179584225 201134332 251417915 287334760 359168450 402268664 502835830 574669520 718336900 804537328 1005671660 1257089575 1436673800 2011343320 2514179150 2873347600 4022686640 5028358300 10056716600 20113433200