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212313021300 = 223252428355079
BaseRepresentation
bin1100010110111011010…
…1111001101101110100
3202022000110101222100100
43011232311321231310
511434304113140200
6241311340514100
721224212622202
oct3055665715564
9668013358310
10212313021300
1182050190366
123519324b930
13170372905b3
14a3c1502072
1557c9426d00
hex316ed79b74

212313021300 has 108 divisors (see below), whose sum is σ = 665650833120. Its totient is φ = 56602559040.

The previous prime is 212313021269. The next prime is 212313021329. The reversal of 212313021300 is 3120313212.

212313021300 is a `hidden beast` number, since 2 + 1 + 231 + 302 + 130 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 3827161 + ... + 3882239.

It is an arithmetic number, because the mean of its divisors is an integer number (6163433640).

Almost surely, 2212313021300 is an apocalyptic number.

212313021300 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212313021300 is an abundant number, since it is smaller than the sum of its proper divisors (453337811820).

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

212313021300 is a wasteful number, since it uses less digits than its factorization.

212313021300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59382 (or 59372 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 212313021300 its reverse (3120313212), we get a palindrome (215433334512).

The spelling of 212313021300 in words is "two hundred twelve billion, three hundred thirteen million, twenty-one thousand, three hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 30 36 45 50 60 75 90 100 150 180 225 300 450 900 4283 8566 12849 17132 21415 25698 38547 42830 51396 55079 64245 77094 85660 107075 110158 128490 154188 165237 192735 214150 220316 256980 275395 321225 330474 385470 428300 495711 550790 642450 660948 770940 826185 963675 991422 1101580 1284900 1376975 1652370 1927350 1982844 2478555 2753950 3304740 3854700 4130925 4957110 5507900 8261850 9914220 12392775 16523700 24785550 49571100 235903357 471806714 707710071 943613428 1179516785 1415420142 2123130213 2359033570 2830840284 3538550355 4246260426 4718067140 5897583925 7077100710 8492520852 10615651065 11795167850 14154201420 17692751775 21231302130 23590335700 35385503550 42462604260 53078255325 70771007100 106156510650 212313021300