Search a number
-
+
212303001312 = 25321579375011
BaseRepresentation
bin1100010110111000111…
…1101011011011100000
3202021222202112220111200
43011232033223123200
511434244032020222
6241310342041200
721224031510333
oct3055617533340
9667882486450
10212303001312
1182045567186
123518ba19200
13170351928cc
14a3c005461a
1557c85e7eac
hex316e3eb6e0

212303001312 has 144 divisors (see below), whose sum is σ = 608351928912. Its totient is φ = 70227855360.

The previous prime is 212303001203. The next prime is 212303001329. The reversal of 212303001312 is 213100303212.

212303001312 is a `hidden beast` number, since 2 + 1 + 230 + 300 + 131 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 42364887 + ... + 42369897.

It is an arithmetic number, because the mean of its divisors is an integer number (4224666173).

Almost surely, 2212303001312 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 212303001312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (304175964456).

212303001312 is an abundant number, since it is smaller than the sum of its proper divisors (396048927600).

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

212303001312 is a wasteful number, since it uses less digits than its factorization.

212303001312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6121 (or 6110 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 212303001312 its reverse (213100303212), we get a palindrome (425403304524).

The spelling of 212303001312 in words is "two hundred twelve billion, three hundred three million, one thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 157 288 314 471 628 937 942 1256 1413 1874 1884 2512 2811 2826 3748 3768 5011 5024 5622 5652 7496 7536 8433 10022 11244 11304 14992 15033 15072 16866 20044 22488 22608 29984 30066 33732 40088 44976 45099 45216 60132 67464 80176 89952 90198 120264 134928 147109 160352 180396 240528 269856 294218 360792 441327 481056 588436 721584 786727 882654 1176872 1323981 1443168 1573454 1765308 2353744 2360181 2647962 3146908 3530616 4695307 4707488 4720362 5295924 6293816 7061232 7080543 9390614 9440724 10591848 12587632 14085921 14122464 14161086 18781228 18881448 21183696 25175264 28171842 28322172 37562456 37762896 42257763 42367392 56343684 56644344 75124912 75525792 84515526 112687368 113288688 150249824 169031052 225374736 226577376 338062104 450749472 676124208 737163199 1352248416 1474326398 2211489597 2948652796 4422979194 5897305592 6634468791 8845958388 11794611184 13268937582 17691916776 23589222368 26537875164 35383833552 53075750328 70767667104 106151500656 212303001312