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202042003140 = 2232510710490239
BaseRepresentation
bin1011110000101010100…
…1000100111011000100
3201022111122200012012100
42330022221010323010
511302240223100030
6232452233152100
720411534455635
oct2741251047304
9638448605170
10202042003140
117875a4973aa
12331a755b630
131608b3b1a63
149ac939188c
1553c7882360
hex2f0aa44ec4

202042003140 has 72 divisors (see below), whose sum is σ = 618588472320. Its totient is φ = 53374330944.

The previous prime is 202042003117. The next prime is 202042003147. The reversal of 202042003140 is 41300240202.

202042003140 is a `hidden beast` number, since 202 + 0 + 420 + 0 + 3 + 1 + 40 = 666.

202042003140 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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 (202042003147) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5225860 + ... + 5264379.

It is an arithmetic number, because the mean of its divisors is an integer number (8591506560).

Almost surely, 2202042003140 is an apocalyptic number.

202042003140 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

202042003140 is an abundant number, since it is smaller than the sum of its proper divisors (416546469180).

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

202042003140 is a wasteful number, since it uses less digits than its factorization.

202042003140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10490361 (or 10490356 counting only the distinct ones).

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

Adding to 202042003140 its reverse (41300240202), we get a palindrome (243342243342).

The spelling of 202042003140 in words is "two hundred two billion, forty-two million, three thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 107 180 214 321 428 535 642 963 1070 1284 1605 1926 2140 3210 3852 4815 6420 9630 19260 10490239 20980478 31470717 41960956 52451195 62941434 94412151 104902390 125882868 157353585 188824302 209804780 314707170 377648604 472060755 629414340 944121510 1122455573 1888243020 2244911146 3367366719 4489822292 5612277865 6734733438 10102100157 11224555730 13469466876 16836833595 20204200314 22449111460 33673667190 40408400628 50510500785 67347334380 101021001570 202042003140