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212313001200 = 24352176927501
BaseRepresentation
bin1100010110111011010…
…1110100110011110000
3202022000110100221202220
43011232311310303300
511434304112014300
6241311340241040
721224212506456
oct3055665646360
9668013327686
10212313001200
1182050177253
1235193240180
13170372843c1
14a3c14d89d6
1557c9420da0
hex316ed74cf0

212313001200 has 60 divisors (see below), whose sum is σ = 680109317688. Its totient is φ = 56616800000.

The previous prime is 212313001193. The next prime is 212313001211. The reversal of 212313001200 is 2100313212.

It is a tau number, because it is divible by the number of its divisors (60).

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 212313001200.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 88462551 + ... + 88464950.

Almost surely, 2212313001200 is an apocalyptic number.

212313001200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212313001200 is an abundant number, since it is smaller than the sum of its proper divisors (467796316488).

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

212313001200 is a wasteful number, since it uses less digits than its factorization.

212313001200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 176927522 (or 176927511 counting only the distinct ones).

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

Adding to 212313001200 its reverse (2100313212), we get a palindrome (214413314412).

The spelling of 212313001200 in words is "two hundred twelve billion, three hundred thirteen million, one thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 48 50 60 75 80 100 120 150 200 240 300 400 600 1200 176927501 353855002 530782503 707710004 884637505 1061565006 1415420008 1769275010 2123130012 2653912515 2830840016 3538550020 4246260024 4423187525 5307825030 7077100040 8492520048 8846375050 10615650060 13269562575 14154200080 17692750100 21231300120 26539125150 35385500200 42462600240 53078250300 70771000400 106156500600 212313001200