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121101221021022 = 233111075033788003
BaseRepresentation
bin11011100010010000010011…
…010000101100010101011110
3120212210011102022102002122000
4123202100103100230111132
5111333110300040133042
61105321044413103130
734336163102340564
oct3342202320542536
9525704368362560
10121101221021022
113564a815189390
12116ba289a87aa6
135275a47179498
1421c948a779a34
15e001c23e574c
hex6e241342c55e

121101221021022 has 128 divisors (see below), whose sum is σ = 296911632568320. Its totient is φ = 36282089236320.

The previous prime is 121101221020961. The next prime is 121101221021059. The reversal of 121101221021022 is 220120122101121.

121101221021022 is a `hidden beast` number, since 1 + 211 + 0 + 1 + 221 + 0 + 210 + 22 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 121101221020986 and 121101221021004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 30075673 + ... + 33863675.

It is an arithmetic number, because the mean of its divisors is an integer number (2319622129440).

Almost surely, 2121101221021022 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 121101221021022, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148455816284160).

121101221021022 is an abundant number, since it is smaller than the sum of its proper divisors (175810411547298).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

121101221021022 is a wasteful number, since it uses less digits than its factorization.

121101221021022 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3788635 (or 3788629 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 121101221021022 its reverse (220120122101121), we get a palindrome (341221343122143).

The spelling of 121101221021022 in words is "one hundred twenty-one trillion, one hundred one billion, two hundred twenty-one million, twenty-one thousand, twenty-two".

Divisors: 1 2 3 6 9 11 18 22 27 33 54 66 99 107 198 214 297 321 503 594 642 963 1006 1177 1509 1926 2354 2889 3018 3531 4527 5533 5778 7062 9054 10593 11066 13581 16599 21186 27162 31779 33198 49797 53821 63558 99594 107642 149391 161463 298782 322926 484389 592031 968778 1184062 1453167 1776093 2906334 3552186 3788003 5328279 7576006 10656558 11364009 15984837 22728018 31969674 34092027 41668033 68184054 83336066 102276081 125004099 204552162 250008198 375012297 405316321 750024594 810632642 1125036891 1215948963 1905365509 2250073782 2431897926 3647846889 3810731018 4458479531 5716096527 7295693778 8916959062 10943540667 11432193054 13375438593 17148289581 20959020599 21887081334 26750877186 34296579162 40126315779 41918041198 51444868743 62877061797 80252631558 102889737486 120378947337 125754123594 188631185391 203874109463 240757894674 377262370782 407748218926 565893556173 611622328389 1131787112346 1223244656778 1834866985167 2242615204093 3669733970334 4485230408186 5504600955501 6727845612279 11009201911002 13455691224558 20183536836837 40367073673674 60550610510511 121101221021022