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202103044140 = 223541123166739
BaseRepresentation
bin1011110000111001000…
…1111011100000101100
3201022122220112101201010
42330032101323200230
511302401334403030
6232502253345220
720413205350014
oct2741621734054
9638586471633
10202103044140
1178790999408
1233203a98210
131609ac347aa
149ad3520c44
1553ccddd6b0
hex2f0e47b82c

202103044140 has 96 divisors (see below), whose sum is σ = 580170286080. Its totient is φ = 52536153600.

The previous prime is 202103044127. The next prime is 202103044141. The reversal of 202103044140 is 41440301202.

202103044140 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (202103044141) 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 31 ways as a sum of consecutive naturals, for example, 2994891 + ... + 3061629.

It is an arithmetic number, because the mean of its divisors is an integer number (6043440480).

Almost surely, 2202103044140 is an apocalyptic number.

202103044140 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 202103044140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (290085143040).

202103044140 is an abundant number, since it is smaller than the sum of its proper divisors (378067241940).

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

202103044140 is a wasteful number, since it uses less digits than its factorization.

202103044140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68023 (or 68021 counting only the distinct ones).

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

Adding to 202103044140 its reverse (41440301202), we get a palindrome (243543345342).

The spelling of 202103044140 in words is "two hundred two billion, one hundred three million, forty-four thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 41 60 82 123 164 205 246 410 492 615 820 1230 1231 2460 2462 3693 4924 6155 7386 12310 14772 18465 24620 36930 50471 66739 73860 100942 133478 151413 200217 201884 252355 266956 302826 333695 400434 504710 605652 667390 757065 800868 1001085 1009420 1334780 1514130 2002170 2736299 3028260 4004340 5472598 8208897 10945196 13681495 16417794 27362990 32835588 41044485 54725980 82088970 82155709 164177940 164311418 246467127 328622836 410778545 492934254 821557090 985868508 1232335635 1643114180 2464671270 3368384069 4929342540 6736768138 10105152207 13473536276 16841920345 20210304414 33683840690 40420608828 50525761035 67367681380 101051522070 202103044140