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242100410044302 = 232503138683192811
BaseRepresentation
bin110111000011000001100100…
…111100001100111110001110
31011202012120110211121200010200
4313003001210330030332032
5223213033114432404202
62214523220514314330
7101665114565232345
oct6703014474147616
91152176424550120
10242100410044302
1170160230a1a697
12231a08215889a6
13a511c808477b4
1443ada1826ab5c
151cec8c1ebce1c
hexdc3064f0cf8e

242100410044302 has 48 divisors (see below), whose sum is σ = 525600249003648. Its totient is φ = 80538700577040.

The previous prime is 242100410044289. The next prime is 242100410044313. The reversal of 242100410044302 is 203440014001242.

242100410044302 is a `hidden beast` number, since 2 + 4 + 210 + 0 + 4 + 1 + 0 + 0 + 443 + 0 + 2 = 666.

242100410044302 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2421004100443022 (a number of 30 digits) contains 22 as substring.

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, 1255539477 + ... + 1255732287.

It is an arithmetic number, because the mean of its divisors is an integer number (10950005187576).

Almost surely, 2242100410044302 is an apocalyptic number.

242100410044302 is an abundant number, since it is smaller than the sum of its proper divisors (283499838959346).

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

242100410044302 is a wasteful number, since it uses less digits than its factorization.

242100410044302 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 332005 (or 332002 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

Adding to 242100410044302 its reverse (203440014001242), we get a palindrome (445540424045544).

The spelling of 242100410044302 in words is "two hundred forty-two trillion, one hundred billion, four hundred ten million, forty-four thousand, three hundred two".

Divisors: 1 2 3 6 9 18 503 1006 1509 3018 4527 9054 138683 192811 277366 385622 416049 578433 832098 1156866 1248147 1735299 2496294 3470598 69757549 96983933 139515098 193967866 209272647 290951799 418545294 581903598 627817941 872855397 1255635882 1745710794 26739607913 53479215826 80218823739 160437647478 240656471217 481312942434 13450022780239 26900045560478 40350068340717 80700136681434 121050205022151 242100410044302