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2131321200 = 243521993479
BaseRepresentation
bin111111100001001…
…0110000101110000
312111112110100001020
41333002112011300
513331104234300
6551253335440
7103546634301
oct17702260560
95445410036
102131321200
119a4091188
124b5937580
1327c736308
141630c07a8
15c71a28a0
hex7f096170

2131321200 has 120 divisors (see below), whose sum is σ = 7186742400. Its totient is φ = 538433280.

The previous prime is 2131321183. The next prime is 2131321201. The reversal of 2131321200 is 21231312.

It is a tau number, because it is divible by the number of its divisors (120).

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 2131321200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2131321201) 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, 23940 + ... + 69539.

It is an arithmetic number, because the mean of its divisors is an integer number (59889520).

Almost surely, 22131321200 is an apocalyptic number.

2131321200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2131321200 is an abundant number, since it is smaller than the sum of its proper divisors (5055421200).

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

2131321200 is a wasteful number, since it uses less digits than its factorization.

2131321200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93519 (or 93508 counting only the distinct ones).

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

The square root of 2131321200 is about 46166.2344143423. The cubic root of 2131321200 is about 1286.9143243765.

Adding to 2131321200 its reverse (21231312), we get a palindrome (2152552512).

The spelling of 2131321200 in words is "two billion, one hundred thirty-one million, three hundred twenty-one thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 19 20 24 25 30 38 40 48 50 57 60 75 76 80 95 100 114 120 150 152 190 200 228 240 285 300 304 380 400 456 475 570 600 760 912 950 1140 1200 1425 1520 1900 2280 2850 3800 4560 5700 7600 11400 22800 93479 186958 280437 373916 467395 560874 747832 934790 1121748 1402185 1495664 1776101 1869580 2243496 2336975 2804370 3552202 3739160 4486992 4673950 5328303 5608740 7010925 7104404 7478320 8880505 9347900 10656606 11217480 14021850 14208808 17761010 18695800 21313212 22434960 26641515 28043700 28417616 35522020 37391600 42626424 44402525 53283030 56087400 71044040 85252848 88805050 106566060 112174800 133207575 142088080 177610100 213132120 266415150 355220200 426264240 532830300 710440400 1065660600 2131321200