Search a number
-
+
1021110022101 = 3133111321135423
BaseRepresentation
bin11101101101111101110…
…01100110111111010101
310121121122220122122210110
432312332321212333111
5113212213131201401
62101031431313233
7133526025656661
oct16667671467725
93547586578713
101021110022101
11364060a94a54
12145a9381b819
13753a0922a90
14375c9d198a1
151b864b979d6
hexedbee66fd5

1021110022101 has 64 divisors (see below), whose sum is σ = 1534179999744. Its totient is φ = 599850316800.

The previous prime is 1021110022081. The next prime is 1021110022129. The reversal of 1021110022101 is 1012200111201.

It is a de Polignac number, because none of the positive numbers 2k-1021110022101 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1021110022001) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 28808476 + ... + 28843898.

It is an arithmetic number, because the mean of its divisors is an integer number (23971562496).

Almost surely, 21021110022101 is an apocalyptic number.

It is an amenable number.

1021110022101 is a deficient number, since it is larger than the sum of its proper divisors (513069977643).

1021110022101 is a wasteful number, since it uses less digits than its factorization.

1021110022101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35794.

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 1021110022101 its reverse (1012200111201), we get a palindrome (2033310133302).

It can be divided in two parts, 10211100 and 22101, that added together give a palindrome (10233201).

The spelling of 1021110022101 in words is "one trillion, twenty-one billion, one hundred ten million, twenty-two thousand, one hundred one".

Divisors: 1 3 13 31 39 93 113 211 339 403 633 1209 1469 2743 3503 4407 6541 8229 10509 19623 23843 35423 45539 71529 85033 106269 136617 255099 309959 460499 739133 929877 1098113 1381497 2217399 3294339 4002799 7474253 9608729 12008397 14275469 22422759 28826187 42826407 52036387 97165289 124086769 156109161 231701843 291495867 372260307 695105529 844590589 1613127997 2533771767 3012123959 4839383991 9036371877 10979677657 26182308259 32939032971 78546924777 340370007367 1021110022101