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201102012201111 = 3789251683627643
BaseRepresentation
bin101101101110011010110110…
…000000000011100010010111
3222101001011110000000020022020
4231232122312000003202113
5202324323410110413421
61551412553343304223
760234066222421560
oct5556326600034227
9871034400006266
10201102012201111
115909398019486a
121a67ab00bab073
138829ab8bc3ba8
143793564441167
15183b1d1512dc6
hexb6e6b6003897

201102012201111 has 64 divisors (see below), whose sum is σ = 311574934056960. Its totient is φ = 113005686816000.

The previous prime is 201102012201107. The next prime is 201102012201127. The reversal of 201102012201111 is 111102210201102.

It is a happy number.

It is not a de Polignac number, because 201102012201111 - 22 = 201102012201107 is a prime.

It is a super-2 number, since 2×2011020122011112 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (201102012201011) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 320094456 + ... + 320722098.

It is an arithmetic number, because the mean of its divisors is an integer number (4868358344640).

Almost surely, 2201102012201111 is an apocalyptic number.

201102012201111 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

201102012201111 is a deficient number, since it is larger than the sum of its proper divisors (110472921855849).

201102012201111 is a wasteful number, since it uses less digits than its factorization.

201102012201111 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 628676.

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 201102012201111 its reverse (111102210201102), we get a palindrome (312204222402213).

The spelling of 201102012201111 in words is "two hundred one trillion, one hundred two billion, twelve million, two hundred one thousand, one hundred eleven".

Divisors: 1 3 7 21 89 251 267 623 683 753 1757 1869 2049 4781 5271 14343 22339 60787 67017 156373 171433 182361 425509 469119 514299 627643 1200031 1276527 1882929 3600093 4393501 13180503 15257537 45772611 55860227 106802759 157538393 167580681 320408277 391021589 428680169 472615179 1102768751 1173064767 1286040507 3000761183 3308306253 9002283549 14020916977 38152535041 42062750931 98146418839 107598722419 114457605123 267067745287 294439256517 322796167257 753191056933 801203235861 2259573170799 9576286295291 28728858885873 67034004067037 201102012201111