Search a number
-
+
301022201002212 = 223229838934370657
BaseRepresentation
bin100010001110001110011000…
…1010111000011100011100100
31110110211102220202110210000100
41010130130301113003203210
5303423421431424032322
62544115405015144100
7120256064521565064
oct10434346127034344
91413742822423010
10301022201002212
1187a07886918a28
1229918152075030
13cbc736c06ab51
1454497a35c33a4
1524c04291a9dac
hex111c7315c38e4

301022201002212 has 72 divisors (see below), whose sum is σ = 787249610292600. Its totient is φ = 96869157009408.

The previous prime is 301022201002207. The next prime is 301022201002219. The reversal of 301022201002212 is 212200102220103.

301022201002212 is a `hidden beast` number, since 30 + 102 + 220 + 100 + 2 + 212 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 20231050435236 + 280791150566976 = 4497894^2 + 16756824^2 .

It is a super-2 number, since 2×3010222010022122 (a number of 30 digits) contains 22 as substring.

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 (301022201002219) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8427213 + ... + 25943444.

It is an arithmetic number, because the mean of its divisors is an integer number (10934022365175).

Almost surely, 2301022201002212 is an apocalyptic number.

It is an amenable number.

301022201002212 is an abundant number, since it is smaller than the sum of its proper divisors (486227409290388).

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

301022201002212 is a wasteful number, since it uses less digits than its factorization.

301022201002212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34379085 (or 34379080 counting only the distinct ones).

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

Adding to 301022201002212 its reverse (212200102220103), we get a palindrome (513222303222315).

The spelling of 301022201002212 in words is "three hundred one trillion, twenty-two billion, two hundred one million, two thousand, two hundred twelve".

Divisors: 1 2 3 4 6 9 12 18 29 36 58 87 116 174 261 348 522 1044 8389 16778 25167 33556 50334 75501 100668 151002 243281 302004 486562 729843 973124 1459686 2189529 2919372 4379058 8758116 34370657 68741314 103111971 137482628 206223942 309335913 412447884 618671826 996749053 1237343652 1993498106 2990247159 3986996212 5980494318 8970741477 11960988636 17941482954 35882965908 288335441573 576670883146 865006324719 1153341766292 1730012649438 2595018974157 3460025298876 5190037948314 8361727805617 10380075896628 16723455611234 25085183416851 33446911222468 50170366833702 75255550250553 100340733667404 150511100501106 301022201002212