Search a number
-
+
2211212310021 = 331121325217687
BaseRepresentation
bin100000001011010110100…
…001100011011000000101
321211101112012001220022000
4200023112201203120011
5242212030322410041
64411452241455513
7315516621342411
oct40132641433005
97741465056260
102211212310021
11782851780500
122b866a641599
13130693785300
1479047b09d41
153c7ba97cbb6
hex202d6863605

2211212310021 has 144 divisors (see below), whose sum is σ = 3907028684160. Its totient is φ = 1234506873600.

The previous prime is 2211212309981. The next prime is 2211212310029. The reversal of 2211212310021 is 1200132121122.

It is not a de Polignac number, because 2211212310021 - 217 = 2211212178949 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 2211212309976 and 2211212310003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2211212310029) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 287652240 + ... + 287659926.

It is an arithmetic number, because the mean of its divisors is an integer number (27132143640).

Almost surely, 22211212310021 is an apocalyptic number.

It is an amenable number.

2211212310021 is a deficient number, since it is larger than the sum of its proper divisors (1695816374139).

2211212310021 is a wasteful number, since it uses less digits than its factorization.

2211212310021 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8265 (or 8235 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 2211212310021 its reverse (1200132121122), we get a palindrome (3411344431143).

The spelling of 2211212310021 in words is "two trillion, two hundred eleven billion, two hundred twelve million, three hundred ten thousand, twenty-one".

Divisors: 1 3 9 11 13 27 33 39 99 117 121 143 169 297 351 363 429 507 521 1089 1287 1521 1563 1573 1859 3267 3861 4563 4689 4719 5577 5731 6773 7687 14067 14157 16731 17193 20319 20449 23061 42471 50193 51579 60957 61347 63041 69183 74503 84557 88049 99931 154737 182871 184041 189123 207549 223509 253671 264147 299793 552123 567369 670527 761013 792441 819533 899379 930127 968539 1099241 1299103 1702107 2011581 2283039 2377323 2458599 2698137 2790381 2905617 3297723 3897309 4004927 7375797 8371143 8716851 9893169 10653929 11691927 12014781 12091651 14290133 22127391 25113429 26150553 29679507 31961787 35075781 36044343 36274953 42870399 44054197 52064051 95885361 108133029 108824859 128611197 132162591 156192153 157191463 287656083 326474577 385833591 396487773 468576459 471574389 484596167 572704561 676832663 1189463319 1405729377 1414723167 1453788501 1718113683 2030497989 4244169501 4361365503 5154341049 6091493967 6299750171 7445159293 13084096509 15463023147 18274481901 18899250513 22335477879 56697751539 67006433637 81896752223 170093254617 201019300911 245690256669 737070770007 2211212310021