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201125324204 = 227311974312729
BaseRepresentation
bin1011101101010000000…
…0001110010110101100
3201020010202210002002122
42323110000032112230
511243401040333304
6232221245412112
720350034022410
oct2732400162654
9636122702078
10201125324204
117832a002a02
1232b9056a038
1315c734c879c
149a3d732d40
15537215d9be
hex2ed400e5ac

201125324204 has 96 divisors (see below), whose sum is σ = 418455797760. Its totient is φ = 82769702400.

The previous prime is 201125324129. The next prime is 201125324207. The reversal of 201125324204 is 402423521102.

It is not an unprimeable number, because it can be changed into a prime (201125324207) 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 31 ways as a sum of consecutive naturals, for example, 73697912 + ... + 73700640.

It is an arithmetic number, because the mean of its divisors is an integer number (4358914560).

Almost surely, 2201125324204 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 201125324204, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (209227898880).

201125324204 is an abundant number, since it is smaller than the sum of its proper divisors (217330473556).

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

201125324204 is a wasteful number, since it uses less digits than its factorization.

201125324204 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3399 (or 3397 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 26.

Adding to 201125324204 its reverse (402423521102), we get a palindrome (603548845306).

The spelling of 201125324204 in words is "two hundred one billion, one hundred twenty-five million, three hundred twenty-four thousand, two hundred four".

Divisors: 1 2 4 7 14 28 31 62 124 197 217 394 431 434 788 862 868 1379 1724 2729 2758 3017 5458 5516 6034 6107 10916 12068 12214 13361 19103 24428 26722 38206 42749 53444 76412 84599 84907 85498 93527 169198 169814 170996 187054 338396 339628 374108 537613 592193 594349 1075226 1176199 1184386 1188698 2150452 2352398 2368772 2377396 2632117 3763291 4704796 5264234 7526582 8233393 10528468 15053164 16466786 16666003 18424819 32933572 33332006 36462169 36849638 66664012 72924338 73699276 116662021 145848676 231711203 233324042 255235183 463422406 466648084 510470366 926844812 1020940732 1621978421 3243956842 6487913684 7183047293 14366094586 28732189172 50281331051 100562662102 201125324204