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11102022001020 = 22352317713454183
BaseRepresentation
bin1010000110001110010000…
…0100111110000101111100
31110022100021000001022111210
42201203210010332011330
52423343420113013040
635340110513044420
72224044311655456
oct241434404760574
943270230038453
1011102022001020
1135a0382a99335
1212b3790856710
13626bbab11cb2
142a54aad7b2d6
15143bc81a0480
hexa18e413e17c

11102022001020 has 96 divisors (see below), whose sum is σ = 32439114796032. Its totient is φ = 2831653997568.

The previous prime is 11102022001013. The next prime is 11102022001069. The reversal of 11102022001020 is 2010022020111.

It is a super-2 number, since 2×111020220010202 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 11102022000987 and 11102022001005.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 24216849 + ... + 24671031.

It is an arithmetic number, because the mean of its divisors is an integer number (337907445792).

Almost surely, 211102022001020 is an apocalyptic number.

11102022001020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11102022001020 is an abundant number, since it is smaller than the sum of its proper divisors (21337092795012).

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

11102022001020 is a wasteful number, since it uses less digits than its factorization.

11102022001020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 471931 (or 471929 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 11102022001020 its reverse (2010022020111), we get a palindrome (13112044021131).

The spelling of 11102022001020 in words is "eleven trillion, one hundred two billion, twenty-two million, one thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 23 30 46 60 69 92 115 138 230 276 345 460 690 1380 17713 35426 53139 70852 88565 106278 177130 212556 265695 354260 407399 454183 531390 814798 908366 1062780 1222197 1362549 1629596 1816732 2036995 2270915 2444394 2725098 4073990 4541830 4888788 5450196 6110985 6812745 8147980 9083660 10446209 12221970 13625490 20892418 24443940 27250980 31338627 41784836 52231045 62677254 104462090 125354508 156693135 208924180 313386270 626772540 8044943479 16089886958 24134830437 32179773916 40224717395 48269660874 80449434790 96539321748 120674152185 160898869580 185033700017 241348304370 370067400034 482696608740 555101100051 740134800068 925168500085 1110202200102 1850337000170 2220404400204 2775505500255 3700674000340 5551011000510 11102022001020