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212341213233144 = 23324321595015423
BaseRepresentation
bin110000010001111110001010…
…100101011111111111111000
31000211211121210020121100121100
4300101332022211133333320
5210312444301041430034
62031340112351211400
762504101133055312
oct6021761245377770
91024747706540540
10212341213233144
1161727448167506
121b995196816b60
1391638c9008448
143a615260c87b2
151983737907099
hexc11f8a95fff8

212341213233144 has 72 divisors (see below), whose sum is σ = 588776018538240. Its totient is φ = 69134348451168.

The previous prime is 212341213233137. The next prime is 212341213233169. The reversal of 212341213233144 is 441332312143212.

212341213233144 is a `hidden beast` number, since 2 + 1 + 2 + 3 + 4 + 12 + 1 + 323 + 314 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 212341213233099 and 212341213233108.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 797374584 + ... + 797640839.

It is an arithmetic number, because the mean of its divisors is an integer number (8177444701920).

Almost surely, 2212341213233144 is an apocalyptic number.

212341213233144 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

212341213233144 is an abundant number, since it is smaller than the sum of its proper divisors (376434805305096).

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

212341213233144 is a wasteful number, since it uses less digits than its factorization.

212341213233144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1595015521 (or 1595015471 counting only the distinct ones).

The product of its digits is 82944, while the sum is 36.

Adding to 212341213233144 its reverse (441332312143212), we get a palindrome (653673525376356).

The spelling of 212341213233144 in words is "two hundred twelve trillion, three hundred forty-one billion, two hundred thirteen million, two hundred thirty-three thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 43 72 86 129 172 258 344 387 516 774 1032 1548 1849 3096 3698 5547 7396 11094 14792 16641 22188 33282 44376 66564 133128 1595015423 3190030846 4785046269 6380061692 9570092538 12760123384 14355138807 19140185076 28710277614 38280370152 57420555228 68585663189 114841110456 137171326378 205756989567 274342652756 411513979134 548685305512 617270968701 823027958268 1234541937402 1646055916536 2469083874804 2949183517127 4938167749608 5898367034254 8847550551381 11796734068508 17695101102762 23593468137016 26542651654143 35390202205524 53085303308286 70780404411048 106170606616572 212341213233144