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212113011300 = 223521937212809
BaseRepresentation
bin1100010110001011101…
…0111011001001100100
3202021111112001102012120
43011202322323021210
511433401412330200
6241235433545540
721216233563521
oct3054272731144
9667445042176
10212113011300
1181a582a0943
12351382752b0
1317004a01898
14a3a2b1a148
1557b6ab99a0
hex3162ebb264

212113011300 has 72 divisors (see below), whose sum is σ = 646014381600. Its totient is φ = 53586443520.

The previous prime is 212113011289. The next prime is 212113011311. The reversal of 212113011300 is 3110311212.

It is a happy number.

212113011300 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (212113011289) and next prime (212113011311).

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 212113011300.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 18600705 + ... + 18612104.

Almost surely, 2212113011300 is an apocalyptic number.

212113011300 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212113011300 is an abundant number, since it is smaller than the sum of its proper divisors (433901370300).

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

212113011300 is a wasteful number, since it uses less digits than its factorization.

212113011300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37212845 (or 37212838 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 15.

Adding to 212113011300 its reverse (3110311212), we get a palindrome (215223322512).

The spelling of 212113011300 in words is "two hundred twelve billion, one hundred thirteen million, eleven thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 12 15 19 20 25 30 38 50 57 60 75 76 95 100 114 150 190 228 285 300 380 475 570 950 1140 1425 1900 2850 5700 37212809 74425618 111638427 148851236 186064045 223276854 372128090 446553708 558192135 707043371 744256180 930320225 1116384270 1414086742 1860640450 2121130113 2232768540 2790960675 2828173484 3535216855 3721280900 4242260226 5581921350 7070433710 8484520452 10605650565 11163842700 14140867420 17676084275 21211301130 35352168550 42422602260 53028252825 70704337100 106056505650 212113011300