Search a number
-
+
1102201212021 = 3713172397106451
BaseRepresentation
bin10000000010100000010…
…011111100110001110101
310220100222022000220221220
4100002200103330301311
5121024302002241041
62202202205100553
7142426400502210
oct20024023746165
93810868026856
101102201212021
11395493939188
12159744b57759
137cc24b424b0
143b4bd97c777
151da0dd5bd66
hex100a04fcc75

1102201212021 has 128 divisors (see below), whose sum is σ = 2019024838656. Its totient is φ = 517990809600.

The previous prime is 1102201212019. The next prime is 1102201212029. The reversal of 1102201212021 is 1202121022011.

It is not a de Polignac number, because 1102201212021 - 21 = 1102201212019 is a prime.

It is a super-2 number, since 2×11022012120212 (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1102201212029) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 10300846 + ... + 10407296.

It is an arithmetic number, because the mean of its divisors is an integer number (15773631552).

Almost surely, 21102201212021 is an apocalyptic number.

It is an amenable number.

1102201212021 is a deficient number, since it is larger than the sum of its proper divisors (916823626635).

1102201212021 is a wasteful number, since it uses less digits than its factorization.

1102201212021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106611.

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 1102201212021 its reverse (1202121022011), we get a palindrome (2304322234032).

The spelling of 1102201212021 in words is "one trillion, one hundred two billion, two hundred one million, two hundred twelve thousand, twenty-one".

Divisors: 1 3 7 13 17 21 23 39 51 69 91 97 119 161 221 273 291 299 357 391 483 663 679 897 1173 1261 1547 1649 2037 2093 2231 2737 3783 4641 4947 5083 6279 6693 8211 8827 11543 15249 15617 21437 26481 29003 34629 35581 37927 46851 64311 87009 106451 106743 113781 150059 203021 265489 319353 450177 493051 609063 745157 796467 1383863 1479153 1809667 2235471 2448373 3451357 4151589 5429001 7345119 9687041 10325747 10354071 12667669 17138611 23525671 29061123 30977241 31828849 38003007 41622341 51415833 70577013 72280229 95486547 124867023 134234711 164679697 175537699 216840687 222801943 237492181 291356387 402704133 494039091 526613097 541090433 668405829 712476543 874069161 939642977 1228763893 1623271299 1662445267 2281990087 2818928931 3087398353 3686291679 3787633031 4037367077 4987335801 6845970261 9262195059 11362899093 12112101231 15973930609 21611788471 28261569539 47921791827 52485772001 64835365413 84784708617 157457316003 367400404007 1102201212021