Search a number
-
+
42021302202 = 23311174161349
BaseRepresentation
bin100111001000101010…
…100010111110111010
311000110112111022212000
4213020222202332322
51142024423132302
631145422201430
73015220114065
oct471052427672
9130415438760
1042021302202
1116903a25330
128188a23276
133c68a77979
142068c0d8dc
15115e1a631c
hex9c8aa2fba

42021302202 has 64 divisors (see below), whose sum is σ = 107862192000. Its totient is φ = 11984682240.

The previous prime is 42021302189. The next prime is 42021302233. The reversal of 42021302202 is 20220312024.

42021302202 is a `hidden beast` number, since 420 + 21 + 3 + 0 + 220 + 2 = 666.

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

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 2070577 + ... + 2090772.

It is an arithmetic number, because the mean of its divisors is an integer number (1685346750).

Almost surely, 242021302202 is an apocalyptic number.

42021302202 is an abundant number, since it is smaller than the sum of its proper divisors (65840889798).

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

42021302202 is a wasteful number, since it uses less digits than its factorization.

42021302202 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4161388 (or 4161382 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

Adding to 42021302202 its reverse (20220312024), we get a palindrome (62241614226).

The spelling of 42021302202 in words is "forty-two billion, twenty-one million, three hundred two thousand, two hundred two".

Divisors: 1 2 3 6 9 11 17 18 22 27 33 34 51 54 66 99 102 153 187 198 297 306 374 459 561 594 918 1122 1683 3366 5049 10098 4161349 8322698 12484047 24968094 37452141 45774839 70742933 74904282 91549678 112356423 137324517 141485866 212228799 224712846 274649034 411973551 424457598 636686397 778172263 823947102 1235920653 1273372794 1556344526 1910059191 2334516789 2471841306 3820118382 4669033578 7003550367 14007100734 21010651101 42021302202