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212102121211002 = 23311357074278133
BaseRepresentation
bin110000001110011111011111…
…100101110100010001111010
31000210222202122111210012002000
4300032133133211310101322
5210300040121012223002
62031034211435321430
762450605201314261
oct6016373745642172
91023882574705060
10212102121211002
1161645005a294a0
121b95698b2b0276
1391471b4a94729
143a53b242715d8
15197c3e255161c
hexc0e7df97447a

212102121211002 has 32 divisors (see below), whose sum is σ = 514186960512960. Its totient is φ = 64273370063760.

The previous prime is 212102121210971. The next prime is 212102121211009. The reversal of 212102121211002 is 200112121201212.

212102121211002 is a `hidden beast` number, since 21 + 210 + 212 + 121 + 100 + 2 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (212102121211009) 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, 178537138473 + ... + 178537139660.

It is an arithmetic number, because the mean of its divisors is an integer number (16068342516030).

Almost surely, 2212102121211002 is an apocalyptic number.

212102121211002 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

212102121211002 is an abundant number, since it is smaller than the sum of its proper divisors (302084839301958).

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

212102121211002 is a wasteful number, since it uses less digits than its factorization.

212102121211002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 357074278155 (or 357074278149 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 212102121211002 its reverse (200112121201212), we get a palindrome (412214242412214).

The spelling of 212102121211002 in words is "two hundred twelve trillion, one hundred two billion, one hundred twenty-one million, two hundred eleven thousand, two".

Divisors: 1 2 3 6 9 11 18 22 27 33 54 66 99 198 297 594 357074278133 714148556266 1071222834399 2142445668798 3213668503197 3927817059463 6427337006394 7855634118926 9641005509591 11783451178389 19282011019182 23566902356778 35350353535167 70700707070334 106051060605501 212102121211002