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202012232301 = 32112977332609
BaseRepresentation
bin1011110000100011011…
…1100000101001101101
3201022102120122200021200
42330020313200221231
511302210112413201
6232445251120113
720411023433325
oct2741067405155
9638376580250
10202012232301
1178744703100
12331995a3039
131608518a189
149ac5442285
1553c4e51386
hex2f08de0a6d

202012232301 has 72 divisors (see below), whose sum is σ = 324606817080. Its totient is φ = 120957788160.

The previous prime is 202012232293. The next prime is 202012232333. The reversal of 202012232301 is 103232210202.

202012232301 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 79143755625 + 122868476676 = 281325^2 + 350526^2 .

It is not a de Polignac number, because 202012232301 - 23 = 202012232293 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (202012234301) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 77427685 + ... + 77430293.

It is an arithmetic number, because the mean of its divisors is an integer number (4508428015).

Almost surely, 2202012232301 is an apocalyptic number.

It is an amenable number.

202012232301 is a deficient number, since it is larger than the sum of its proper divisors (122594584779).

202012232301 is a wasteful number, since it uses less digits than its factorization.

202012232301 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3467 (or 3453 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 202012232301 its reverse (103232210202), we get a palindrome (305244442503).

The spelling of 202012232301 in words is "two hundred two billion, twelve million, two hundred thirty-two thousand, three hundred one".

Divisors: 1 3 9 11 33 97 99 121 291 363 733 873 1067 1089 2199 2609 3201 6597 7827 8063 9603 11737 23481 24189 28699 35211 71101 72567 86097 88693 105633 213303 253073 258291 266079 315689 639909 759219 782111 798237 947067 1912397 2277657 2346333 2783803 2841201 5737191 7038999 8351409 8603221 17211573 21036367 25054227 25809663 30621833 63109101 77428989 91865499 185502509 189327303 231400037 275596497 556507527 694200111 1669522581 2040527599 2082600333 6121582797 18364748391 22445803589 67337410767 202012232301