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212312122020 = 223253731878697
BaseRepresentation
bin1100010110111011001…
…0011110001010100100
3202022000101201021202200
43011232302132022210
511434303400401040
6241311305334500
721224202155325
oct3055662361244
9668011637680
10212312122020
118204a726759
1235192a97430
131703703718b
14a3c134a44c
1557c92ea630
hex316ec9e2a4

212312122020 has 72 divisors (see below), whose sum is σ = 661419226104. Its totient is φ = 55086386688.

The previous prime is 212312122013. The next prime is 212312122039. The reversal of 212312122020 is 20221213212.

212312122020 is a `hidden beast` number, since 21 + 231 + 212 + 202 + 0 = 666.

212312122020 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 98968126464 + 113343995556 = 314592^2 + 336666^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 212312121984 and 212312122002.

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, 15932689 + ... + 15946008.

Almost surely, 2212312122020 is an apocalyptic number.

212312122020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212312122020 is an abundant number, since it is smaller than the sum of its proper divisors (449107104084).

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

212312122020 is a wasteful number, since it uses less digits than its factorization.

212312122020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31878749 (or 31878744 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 212312122020 its reverse (20221213212), we get a palindrome (232533335232).

The spelling of 212312122020 in words is "two hundred twelve billion, three hundred twelve million, one hundred twenty-two thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 37 45 60 74 90 111 148 180 185 222 333 370 444 555 666 740 1110 1332 1665 2220 3330 6660 31878697 63757394 95636091 127514788 159393485 191272182 286908273 318786970 382544364 478180455 573816546 637573940 956360910 1147633092 1179511789 1434541365 1912721820 2359023578 2869082730 3538535367 4718047156 5738165460 5897558945 7077070734 10615606101 11795117890 14154141468 17692676835 21231212202 23590235780 35385353670 42462424404 53078030505 70770707340 106156061010 212312122020