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202120402341 = 311135367132679
BaseRepresentation
bin1011110000111101010…
…0001001010110100101
3201022201010012021200110
42330033110021112211
511302420310333331
6232504113403233
720413506034014
oct2741724112645
9638633167613
10202120402341
117879a774930
1233209869519
13160a1701610
149ad595ca7b
1553ce6bb946
hex2f0f5095a5

202120402341 has 64 divisors (see below), whose sum is σ = 327399045120. Its totient is φ = 109284215040.

The previous prime is 202120402333. The next prime is 202120402357. The reversal of 202120402341 is 143204021202.

202120402341 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 202120402341 - 23 = 202120402333 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (202120402301) 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 63 ways as a sum of consecutive naturals, for example, 1457040 + ... + 1589718.

It is an arithmetic number, because the mean of its divisors is an integer number (5115610080).

Almost surely, 2202120402341 is an apocalyptic number.

It is an amenable number.

202120402341 is a deficient number, since it is larger than the sum of its proper divisors (125278642779).

202120402341 is a wasteful number, since it uses less digits than its factorization.

202120402341 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 132826.

The product of its (nonzero) digits is 768, while the sum is 21.

Adding to 202120402341 its reverse (143204021202), we get a palindrome (345324423543).

The spelling of 202120402341 in words is "two hundred two billion, one hundred twenty million, four hundred two thousand, three hundred forty-one".

Divisors: 1 3 11 13 33 39 53 67 143 159 201 429 583 689 737 871 1749 2067 2211 2613 3551 7579 9581 10653 22737 28743 39061 46163 117183 132679 138489 398037 507793 1459469 1523379 1724827 4378407 5174481 7031987 8889493 18973097 21095961 26668479 56919291 77351857 91415831 97784423 115563409 232055571 274247493 293353269 346690227 471143129 1005574141 1271197499 1413429387 3016722423 3813592497 5182574419 6124860677 15547723257 18374582031 67373467447 202120402341