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202140041202 = 232118915773063
BaseRepresentation
bin1011110001000001111…
…1000011111111110010
3201022202111011001010200
42330100133003333302
511302440322304302
6232510054340030
720414135000121
oct2742037037762
9638674131120
10202140041202
11787aa8688a0
123321435a616
13160a57b9548
149ad83d1ab8
1553d129a81c
hex2f107c3ff2

202140041202 has 96 divisors (see below), whose sum is σ = 486237997440. Its totient is φ = 60179708160.

The previous prime is 202140041183. The next prime is 202140041263.

202140041202 is a `hidden beast` number, since 2 + 0 + 21 + 400 + 41 + 202 = 666.

202140041202 is nontrivially palindromic in base 10.

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2730123 + ... + 2803185.

It is an arithmetic number, because the mean of its divisors is an integer number (5064979140).

Almost surely, 2202140041202 is an apocalyptic number.

202140041202 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 202140041202, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (243118998720).

202140041202 is an abundant number, since it is smaller than the sum of its proper divisors (284097956238).

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

202140041202 is a wasteful number, since it uses less digits than its factorization.

202140041202 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 73328 (or 73325 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

It can be divided in two parts, 2021400 and 41202, that added together give a palindrome (2062602).

The spelling of 202140041202 in words is "two hundred two billion, one hundred forty million, forty-one thousand, two hundred two".

Divisors: 1 2 3 6 9 11 18 22 33 66 89 99 157 178 198 267 314 471 534 801 942 979 1413 1602 1727 1958 2826 2937 3454 5181 5874 8811 10362 13973 15543 17622 27946 31086 41919 73063 83838 125757 146126 153703 219189 251514 307406 438378 461109 657567 803693 922218 1315134 1383327 1607386 2411079 2766654 4822158 6502607 7233237 11470891 13005214 14466474 19507821 22941782 34412673 39015642 58523463 68825346 71528677 103238019 117046926 126179801 143057354 206476038 214586031 252359602 378539403 429172062 643758093 757078806 1020909299 1135618209 1287516186 2041818598 2271236418 3062727897 6125455794 9188183691 11230002289 18376367382 22460004578 33690006867 67380013734 101070020601 202140041202