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202132324140 = 223510161354413
BaseRepresentation
bin1011110001000000000…
…1100111111100101100
3201022201221121222022120
42330100001213330230
511302431333333030
6232505221112540
720414012256315
oct2742001477454
9638657558276
10202132324140
11787a647795a
1233211858750
13160a4016b36
149ad738360c
1553d0774010
hex2f10067f2c

202132324140 has 96 divisors (see below), whose sum is σ = 572517118656. Its totient is φ = 53280230400.

The previous prime is 202132324139. The next prime is 202132324157. The reversal of 202132324140 is 41423231202.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 202132324140.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3687574 + ... + 3741986.

It is an arithmetic number, because the mean of its divisors is an integer number (5963719986).

Almost surely, 2202132324140 is an apocalyptic number.

202132324140 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 202132324140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (286258559328).

202132324140 is an abundant number, since it is smaller than the sum of its proper divisors (370384794516).

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

202132324140 is a wasteful number, since it uses less digits than its factorization.

202132324140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55139 (or 55137 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 202132324140 its reverse (41423231202), we get a palindrome (243555555342).

The spelling of 202132324140 in words is "two hundred two billion, one hundred thirty-two million, three hundred twenty-four thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 101 202 303 404 505 606 613 1010 1212 1226 1515 1839 2020 2452 3030 3065 3678 6060 6130 7356 9195 12260 18390 36780 54413 61913 108826 123826 163239 185739 217652 247652 272065 309565 326478 371478 544130 619130 652956 742956 816195 928695 1088260 1238260 1632390 1857390 3264780 3714780 5495713 10991426 16487139 21982852 27478565 32974278 33355169 54957130 65948556 66710338 82435695 100065507 109914260 133420676 164871390 166775845 200131014 329742780 333551690 400262028 500327535 667103380 1000655070 2001310140 3368872069 6737744138 10106616207 13475488276 16844360345 20213232414 33688720690 40426464828 50533081035 67377441380 101066162070 202132324140