Search a number
-
+
212211122013033 = 311135967205360953
BaseRepresentation
bin110000010000000101000000…
…100010111000001101101001
31000211101011222222000122111220
4300100011000202320031221
5210303331334213404113
62031200235453012253
762461514300664153
oct6020050042701551
91024334888018456
10212211122013033
1161687260053360
121b973b2b484089
139154566275520
143a59104875ad3
151980171a75523
hexc101408b8369

212211122013033 has 128 divisors (see below), whose sum is σ = 343267024988160. Its totient is φ = 114907529594880.

The previous prime is 212211122013019. The next prime is 212211122013083. The reversal of 212211122013033 is 330310221112212.

It is not a de Polignac number, because 212211122013033 - 213 = 212211122004841 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 212211122012994 and 212211122013012.

It is not an unprimeable number, because it can be changed into a prime (212211122013083) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 3481522885 + ... + 3481583837.

It is an arithmetic number, because the mean of its divisors is an integer number (2681773632720).

Almost surely, 2212211122013033 is an apocalyptic number.

It is an amenable number.

212211122013033 is a deficient number, since it is larger than the sum of its proper divisors (131055902975127).

212211122013033 is a wasteful number, since it uses less digits than its factorization.

212211122013033 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 63159.

The product of its (nonzero) digits is 864, while the sum is 24.

Adding to 212211122013033 its reverse (330310221112212), we get a palindrome (542521343125245).

The spelling of 212211122013033 in words is "two hundred twelve trillion, two hundred eleven billion, one hundred twenty-two million, thirteen thousand, thirty-three".

Divisors: 1 3 11 13 33 39 59 67 143 177 201 429 649 737 767 871 1947 2053 2211 2301 2613 3953 6159 8437 9581 11859 22583 25311 26689 28743 43483 51389 60953 67749 80067 121127 130449 137551 154167 182859 293579 363381 412653 565279 670483 792389 880737 1332397 1513061 1574651 1695837 1788163 2011449 2377167 3596227 3997191 4083851 4539183 4723953 5364489 8115509 8716279 10788681 12251553 17321161 19669793 24346527 26148837 39558497 44922361 46750951 51963483 53090063 59009379 89270599 105501617 118675491 125136509 134767083 140252853 159270189 240947209 267811797 316504851 375409527 514260461 583990693 722841627 1160517787 1376501599 1542781383 1626774617 1751972079 2650419299 3132313717 3481553361 4129504797 4880323851 7383054031 7951257897 8384146103 9396941151 17894520787 22149162093 25152438309 34455450887 53683562361 81213594341 92225607133 95979702403 103366352661 108993899339 243640783023 276676821399 287939107209 326981698017 494664620077 1055776726433 1198932892729 1483993860231 3167330179299 3596798678187 5441310820847 6430640061001 16323932462541 19291920183003 70737040671011 212211122013033