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312000210000 = 2432543466669
BaseRepresentation
bin1001000101001001010…
…10010110010001010000
31002211022211102212011100
410202210222112101100
520102434023210000
6355155251144400
731353441012333
oct4424452262120
91084284385140
10312000210000
11110355a91726
12505742a5100
1323563037b9b
141115abb661a
1581b0e71a00
hex48a4a96450

312000210000 has 150 divisors (see below), whose sum is σ = 1091110115810. Its totient is φ = 83200032000.

The previous prime is 312000209971. The next prime is 312000210017. The reversal of 312000210000 is 12000213.

It is a happy number.

It can be written as a sum of positive squares in 5 ways, for example, as 162676702224 + 149323507776 = 403332^2 + 386424^2 .

It is a tau number, because it is divible by the number of its divisors (150).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 1643335 + ... + 1823334.

Almost surely, 2312000210000 is an apocalyptic number.

312000210000 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

312000210000 is an abundant number, since it is smaller than the sum of its proper divisors (779109905810).

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

312000210000 is a wasteful number, since it uses less digits than its factorization.

312000210000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3466703 (or 3466679 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

Adding to 312000210000 its reverse (12000213), we get a palindrome (312012210213).

The spelling of 312000210000 in words is "three hundred twelve billion, two hundred ten thousand".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 25 30 36 40 45 48 50 60 72 75 80 90 100 120 125 144 150 180 200 225 240 250 300 360 375 400 450 500 600 625 720 750 900 1000 1125 1200 1250 1500 1800 1875 2000 2250 2500 3000 3600 3750 4500 5000 5625 6000 7500 9000 10000 11250 15000 18000 22500 30000 45000 90000 3466669 6933338 10400007 13866676 17333345 20800014 27733352 31200021 34666690 41600028 52000035 55466704 62400042 69333380 83200056 86666725 104000070 124800084 138666760 156000105 166400112 173333450 208000140 249600168 260000175 277333520 312000210 346666900 416000280 433333625 499200336 520000350 624000420 693333800 780000525 832000560 866667250 1040000700 1248000840 1300000875 1386667600 1560001050 1733334500 2080001400 2166668125 2496001680 2600001750 3120002100 3466669000 3900002625 4160002800 4333336250 5200003500 6240004200 6500004375 6933338000 7800005250 8666672500 10400007000 12480008400 13000008750 15600010500 17333345000 19500013125 20800014000 26000017500 31200021000 34666690000 39000026250 52000035000 62400042000 78000052500 104000070000 156000105000 312000210000