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21601200631543 = 131719210316316127
BaseRepresentation
bin1001110100101011010111…
…11000111110111011110111
32211111001110210221101110221
410322111223320332323313
510312403224330202133
6113535242104355211
74356430613564311
oct472255370767367
984431423841427
1021601200631543
1169790216837a5
12250a55a475b07
13c08ca4b92830
1454970a1a07b1
15276d6ba7ca2d
hex13a56be3eef7

21601200631543 has 96 divisors (see below), whose sum is σ = 26410901078016. Its totient is φ = 17497224999936.

The previous prime is 21601200631529. The next prime is 21601200631589. The reversal of 21601200631543 is 34513600210612.

It is not a de Polignac number, because 21601200631543 - 241 = 19402177375991 is a prime.

It is a super-2 number, since 2×216012006315432 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 21601200631499 and 21601200631508.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21601200631513) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1339435146 + ... + 1339451272.

It is an arithmetic number, because the mean of its divisors is an integer number (275113552896).

Almost surely, 221601200631543 is an apocalyptic number.

21601200631543 is a deficient number, since it is larger than the sum of its proper divisors (4809700446473).

21601200631543 is a wasteful number, since it uses less digits than its factorization.

21601200631543 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16461 (or 16442 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 34.

The spelling of 21601200631543 in words is "twenty-one trillion, six hundred one billion, two hundred million, six hundred thirty-one thousand, five hundred forty-three".

Divisors: 1 13 17 19 103 163 221 247 323 361 1339 1751 1957 2119 2771 3097 4199 4693 6137 16127 16789 22763 25441 33269 36023 37183 40261 52649 58843 79781 209651 218257 274159 285413 306413 318991 432497 483379 632111 684437 764959 1000331 1661081 2628701 3564067 3710369 3983369 4146883 5209021 5422847 5821847 6060829 8217443 13004303 21594053 28238377 31560539 34173113 44687917 49945319 67717273 70497011 75684011 78790777 98971399 103034093 270756203 367098901 410287007 536529163 580942921 599650241 649289147 849070423 948961061 1286628187 1339443209 3519830639 4602855451 5144367857 6974879119 7795453133 10194054097 11037915499 12336493793 16132338037 59837120863 66876782141 87454253569 97742989283 132522703261 209720394481 1136905296397 1270658860679 1661630817811 21601200631543