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2131212000 = 25353177601
BaseRepresentation
bin111111100000111…
…1011011011100000
312111112020210020210
41333001323123200
513331042241000
6551251134120
7103546001031
oct17701733340
95445223223
102131212000
119a4017135
124b58a4340
1327c6c86b8
14163092a88
15c7180350
hex7f07b6e0

2131212000 has 96 divisors (see below), whose sum is σ = 6981889824. Its totient is φ = 568320000.

The previous prime is 2131211989. The next prime is 2131212023. The reversal of 2131212000 is 2121312.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 76801 + ... + 100800.

It is an arithmetic number, because the mean of its divisors is an integer number (72728019).

Almost surely, 22131212000 is an apocalyptic number.

2131212000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2131212000 is an abundant number, since it is smaller than the sum of its proper divisors (4850677824).

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

2131212000 is a wasteful number, since it uses less digits than its factorization.

2131212000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 177629 (or 177611 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

The square root of 2131212000 is about 46165.0517166395. The cubic root of 2131212000 is about 1286.8923452955.

Adding to 2131212000 its reverse (2121312), we get a palindrome (2133333312).

The spelling of 2131212000 in words is "two billion, one hundred thirty-one million, two hundred twelve thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 32 40 48 50 60 75 80 96 100 120 125 150 160 200 240 250 300 375 400 480 500 600 750 800 1000 1200 1500 2000 2400 3000 4000 6000 12000 177601 355202 532803 710404 888005 1065606 1420808 1776010 2131212 2664015 2841616 3552020 4262424 4440025 5328030 5683232 7104040 8524848 8880050 10656060 13320075 14208080 17049696 17760100 21312120 22200125 26640150 28416160 35520200 42624240 44400250 53280300 66600375 71040400 85248480 88800500 106560600 133200750 142080800 177601000 213121200 266401500 355202000 426242400 532803000 710404000 1065606000 2131212000