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220100110222120 = 235192131585123227
BaseRepresentation
bin110010000010111000001100…
…111000101000001100101000
31001212022100212010010202210121
4302002320030320220030220
5212322110011204101440
62100040332245053024
764234464625233262
oct6202701470501450
91055270763122717
10220100110222120
1164148a29249a47
1220828a616b7174
1395a7474b6482b
143c4cc8b7d4b32
151a6a497b8334a
hexc82e0ce28328

220100110222120 has 128 divisors (see below), whose sum is σ = 521645950425600. Its totient is φ = 83349381024000.

The previous prime is 220100110221931. The next prime is 220100110222147. The reversal of 220100110222120 is 21222011001022.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 220100110222094 and 220100110222103.

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, 9476033947 + ... + 9476057173.

It is an arithmetic number, because the mean of its divisors is an integer number (4075358987700).

Almost surely, 2220100110222120 is an apocalyptic number.

220100110222120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

220100110222120 is an abundant number, since it is smaller than the sum of its proper divisors (301545840203480).

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

220100110222120 is a wasteful number, since it uses less digits than its factorization.

220100110222120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31239 (or 31235 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 220100110222120 its reverse (21222011001022), we get a palindrome (241322121223142).

The spelling of 220100110222120 in words is "two hundred twenty trillion, one hundred billion, one hundred ten million, two hundred twenty-two thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 19 20 38 40 76 95 152 190 380 760 2131 4262 5851 8524 10655 11702 17048 21310 23227 23404 29255 40489 42620 46454 46808 58510 80978 85240 92908 111169 116135 117020 161956 185816 202445 222338 232270 234040 323912 404890 441313 444676 464540 555845 809780 882626 889352 929080 1111690 1619560 1765252 2206565 2223380 3530504 4413130 4446760 8826260 12468481 17652520 24936962 49496737 49873924 62342405 98993474 99747848 124684810 135901177 197986948 236901139 247483685 249369620 271802354 395973896 473802278 494967370 498739240 543604708 679505885 940438003 947604556 989934740 1087209416 1184505695 1359011770 1880876006 1895209112 1979869480 2369011390 2582122363 2718023540 3761752012 4702190015 4738022780 5164244726 5436047080 7523504024 9404380030 9476045560 10328489452 12910611815 18808760060 20656978904 25821223630 37617520120 51642447260 103284894520 289605408187 579210816374 1158421632748 1448027040935 2316843265496 2896054081870 5502502755553 5792108163740 11005005511106 11584216327480 22010011022212 27512513777765 44020022044424 55025027555530 110050055111060 220100110222120