Search a number
-
+
204021014121312 = 25319220350773321
BaseRepresentation
bin101110011000111001011000…
…000100101100101101100000
3222202101012220021002201122220
4232120321120010230231200
5203220140014103340222
62001525543205031040
760655013631361503
oct5630713004545540
9882335807081586
10204021014121312
115a00990a722323
121aa707809b5480
1389ac1398a4b0b
143854953bd113a
15188c0c4d35b5c
hexb98e5812cb60

204021014121312 has 96 divisors (see below), whose sum is σ = 563998184507520. Its totient is φ = 64398441968640.

The previous prime is 204021014121283. The next prime is 204021014121319. The reversal of 204021014121312 is 213121410120402.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (204021014121319) 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, 21368389 + ... + 29404932.

It is an arithmetic number, because the mean of its divisors is an integer number (5874981088620).

Almost surely, 2204021014121312 is an apocalyptic number.

It is an amenable number.

204021014121312 is an abundant number, since it is smaller than the sum of its proper divisors (359977170386208).

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

204021014121312 is a wasteful number, since it uses less digits than its factorization.

204021014121312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50775556 (or 50775548 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 24.

Adding to 204021014121312 its reverse (213121410120402), we get a palindrome (417142424241714).

The spelling of 204021014121312 in words is "two hundred four trillion, twenty-one billion, fourteen million, one hundred twenty-one thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 19 24 32 38 48 57 76 96 114 152 228 304 456 608 912 1824 2203 4406 6609 8812 13218 17624 26436 35248 41857 52872 70496 83714 105744 125571 167428 211488 251142 334856 502284 669712 1004568 1339424 2009136 4018272 50773321 101546642 152319963 203093284 304639926 406186568 609279852 812373136 964693099 1218559704 1624746272 1929386198 2437119408 2894079297 3858772396 4874238816 5788158594 7717544792 11576317188 15435089584 23152634376 30870179168 46305268752 92610537504 111853626163 223707252326 335560878489 447414504652 671121756978 894829009304 1342243513956 1789658018608 2125218897097 2684487027912 3579316037216 4250437794194 5368974055824 6375656691291 8500875588388 10737948111648 12751313382582 17001751176776 25502626765164 34003502353552 51005253530328 68007004707104 102010507060656 204021014121312