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21231312000 = 27353442319
BaseRepresentation
bin10011110001011111…
…000001110010000000
32000210122110101202220
4103301133001302000
5321440203441000
613430432411040
71351063113543
oct236137016200
960718411686
1021231312000
119005581a48
1241463a6a80
132004813312
141055a4685a
15843dde1a0
hex4f17c1c80

21231312000 has 128 divisors (see below), whose sum is σ = 70381958400. Its totient is φ = 5661670400.

The previous prime is 21231311989. The next prime is 21231312007. The reversal of 21231312000 is 21313212.

It is a tau number, because it is divible by the number of its divisors (128).

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

It is not an unprimeable number, because it can be changed into a prime (21231312007) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 173160 + ... + 269159.

It is an arithmetic number, because the mean of its divisors is an integer number (549859050).

Almost surely, 221231312000 is an apocalyptic number.

21231312000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21231312000 is an abundant number, since it is smaller than the sum of its proper divisors (49150646400).

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

21231312000 is an equidigital number, since it uses as much as digits as its factorization.

21231312000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 442351 (or 442329 counting only the distinct ones).

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

Adding to 21231312000 its reverse (21313212), we get a palindrome (21252625212).

The spelling of 21231312000 in words is "twenty-one billion, two hundred thirty-one million, three hundred twelve thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 32 40 48 50 60 64 75 80 96 100 120 125 128 150 160 192 200 240 250 300 320 375 384 400 480 500 600 640 750 800 960 1000 1200 1500 1600 1920 2000 2400 3000 3200 4000 4800 6000 8000 9600 12000 16000 24000 48000 442319 884638 1326957 1769276 2211595 2653914 3538552 4423190 5307828 6634785 7077104 8846380 10615656 11057975 13269570 14154208 17692760 21231312 22115950 26539140 28308416 33173925 35385520 42462624 44231900 53078280 55289875 56616832 66347850 70771040 84925248 88463800 106156560 110579750 132695700 141542080 165869625 169850496 176927600 212313120 221159500 265391400 283084160 331739250 353855200 424626240 442319000 530782800 663478500 707710400 849252480 884638000 1061565600 1326957000 1415420800 1769276000 2123131200 2653914000 3538552000 4246262400 5307828000 7077104000 10615656000 21231312000