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20131132200 = 23352124926863
BaseRepresentation
bin10010101111111010…
…001011001100101000
31220221222021110210220
4102233322023030220
5312212032212300
613125332010040
71311603541344
oct225772131450
956858243726
1020131132200
1185a0554643
123a99a60920
131b8a8cb85a
14d8d89c624
157cc51eda0
hex4afe8b328

20131132200 has 96 divisors (see below), whose sum is σ = 62458800000. Its totient is φ = 5363804160.

The previous prime is 20131132169. The next prime is 20131132211. The reversal of 20131132200 is 223113102.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 20131132200.

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, 735969 + ... + 762831.

It is an arithmetic number, because the mean of its divisors is an integer number (650612500).

Almost surely, 220131132200 is an apocalyptic number.

20131132200 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 20131132200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31229400000).

20131132200 is an abundant number, since it is smaller than the sum of its proper divisors (42327667800).

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

20131132200 is a wasteful number, since it uses less digits than its factorization.

20131132200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28131 (or 28122 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 20131132200 its reverse (223113102), we get a palindrome (20354245302).

The spelling of 20131132200 in words is "twenty billion, one hundred thirty-one million, one hundred thirty-two thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 150 200 300 600 1249 2498 3747 4996 6245 7494 9992 12490 14988 18735 24980 26863 29976 31225 37470 49960 53726 62450 74940 80589 93675 107452 124900 134315 149880 161178 187350 214904 249800 268630 322356 374700 402945 537260 644712 671575 749400 805890 1074520 1343150 1611780 2014725 2686300 3223560 4029450 5372600 8058900 16117800 33551887 67103774 100655661 134207548 167759435 201311322 268415096 335518870 402622644 503278305 671037740 805245288 838797175 1006556610 1342075480 1677594350 2013113220 2516391525 3355188700 4026226440 5032783050 6710377400 10065566100 20131132200