Search a number
-
+
101121301220220 = 2232510972753186019
BaseRepresentation
bin10110111111100000100011…
…001111010000101101111100
3111021001002202100101101211200
4112333200203033100231330
5101223232411103021340
6555022252351215500
730204526053225531
oct2677404317205574
9437032670341750
10101121301220220
112a2473373481a6
12b411b9b217590
13445690c070328
141ad842331cd88
15ba55e536d330
hex5bf8233d0b7c

101121301220220 has 144 divisors (see below), whose sum is σ = 307127396852640. Its totient is φ = 26931168165888.

The previous prime is 101121301220209. The next prime is 101121301220257. The reversal of 101121301220220 is 22022103121101.

101121301220220 is a `hidden beast` number, since 1 + 0 + 1 + 121 + 301 + 2 + 20 + 220 = 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 = 101121301220193 and 101121301220202.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 543514371 + ... + 543700389.

It is an arithmetic number, because the mean of its divisors is an integer number (2132829144810).

Almost surely, 2101121301220220 is an apocalyptic number.

101121301220220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101121301220220 is an abundant number, since it is smaller than the sum of its proper divisors (206006095632420).

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

101121301220220 is a wasteful number, since it uses less digits than its factorization.

101121301220220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 189884 (or 189879 counting only the distinct ones).

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

Adding to 101121301220220 its reverse (22022103121101), we get a palindrome (123143404341321).

The spelling of 101121301220220 in words is "one hundred one trillion, one hundred twenty-one billion, three hundred one million, two hundred twenty thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 1097 2194 2753 3291 4388 5485 5506 6582 8259 9873 10970 11012 13164 13765 16455 16518 19746 21940 24777 27530 32910 33036 39492 41295 49365 49554 55060 65820 82590 98730 99108 123885 165180 186019 197460 247770 372038 495540 558057 744076 930095 1116114 1674171 1860190 2232228 2790285 3020041 3348342 3720380 5580570 6040082 6696684 8370855 9060123 11161140 12080164 15100205 16741710 18120246 27180369 30200410 33483420 36240492 45300615 54360738 60400820 90601230 108721476 135901845 181202460 204062843 271803690 408125686 512110307 543607380 612188529 816251372 1020314215 1024220614 1224377058 1536330921 1836565587 2040628430 2048441228 2448754116 2560551535 3060942645 3072661842 3673131174 4081256860 4608992763 5121103070 6121885290 6145323684 7346262348 7681654605 9182827935 9217985526 10242206140 12243770580 15363309210 18365655870 18435971052 23044963815 30726618420 36731311740 46089927630 92179855260 561785006779 1123570013558 1685355020337 2247140027116 2808925033895 3370710040674 5056065061011 5617850067790 6741420081348 8426775101685 10112130122022 11235700135580 16853550203370 20224260244044 25280325305055 33707100406740 50560650610110 101121301220220