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201122413040 = 245191071236611
BaseRepresentation
bin1011101101001111010…
…1000111100111110000
3201020010120022011201202
42323103311013213300
511243344314204130
6232221103150332
720350000206143
oct2732365074760
9636116264652
10201122413040
11783283a478a
1232b8b5a53a8
1315c72a196c3
149a3d1b605a
155371c86145
hex2ed3d479f0

201122413040 has 80 divisors (see below), whose sum is σ = 496821237120. Its totient is φ = 75502460160.

The previous prime is 201122413039. The next prime is 201122413091. The reversal of 201122413040 is 40314221102.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 455666 + ... + 780945.

It is an arithmetic number, because the mean of its divisors is an integer number (6210265464).

Almost surely, 2201122413040 is an apocalyptic number.

201122413040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

201122413040 is an abundant number, since it is smaller than the sum of its proper divisors (295698824080).

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

201122413040 is a wasteful number, since it uses less digits than its factorization.

201122413040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1236750 (or 1236744 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

Adding to 201122413040 its reverse (40314221102), we get a palindrome (241436634142).

The spelling of 201122413040 in words is "two hundred one billion, one hundred twenty-two million, four hundred thirteen thousand, forty".

Divisors: 1 2 4 5 8 10 16 19 20 38 40 76 80 95 107 152 190 214 304 380 428 535 760 856 1070 1520 1712 2033 2140 4066 4280 8132 8560 10165 16264 20330 32528 40660 81320 162640 1236611 2473222 4946444 6183055 9892888 12366110 19785776 23495609 24732220 46991218 49464440 93982436 98928880 117478045 132317377 187964872 234956090 264634754 375929744 469912180 529269508 661586885 939824360 1058539016 1323173770 1879648720 2117078032 2514030163 2646347540 5028060326 5292695080 10056120652 10585390160 12570150815 20112241304 25140301630 40224482608 50280603260 100561206520 201122413040