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21112022022120 = 23335171149892267
BaseRepresentation
bin1001100110011100001101…
…00100101011011111101000
32202202021211010002021102000
410303032012210223133220
510231344410114201440
6112522421245211000
74306202405163411
oct463160644533750
982667733067360
1021112022022120
1167aa6160511a7
12244b799560a60
13ba1b16964463
1452db82236808
1526928aea7730
hex13338692b7e8

21112022022120 has 128 divisors (see below), whose sum is σ = 74513018966400. Its totient is φ = 5298703561728.

The previous prime is 21112022022073. The next prime is 21112022022131. The reversal of 21112022022120 is 2122022021112.

It is a happy number.

21112022022120 is a `hidden beast` number, since 211 + 1 + 20 + 220 + 2 + 212 + 0 = 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 = 21112022022093 and 21112022022102.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 574927774 + ... + 574964493.

It is an arithmetic number, because the mean of its divisors is an integer number (582132960675).

Almost surely, 221112022022120 is an apocalyptic number.

21112022022120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21112022022120 is an abundant number, since it is smaller than the sum of its proper divisors (53400996944280).

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

21112022022120 is a wasteful number, since it uses less digits than its factorization.

21112022022120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1149892304 (or 1149892294 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 21112022022120 its reverse (2122022021112), we get a palindrome (23234044043232).

The spelling of 21112022022120 in words is "twenty-one trillion, one hundred twelve billion, twenty-two million, twenty-two thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 17 18 20 24 27 30 34 36 40 45 51 54 60 68 72 85 90 102 108 120 135 136 153 170 180 204 216 255 270 306 340 360 408 459 510 540 612 680 765 918 1020 1080 1224 1530 1836 2040 2295 3060 3672 4590 6120 9180 18360 1149892267 2299784534 3449676801 4599569068 5749461335 6899353602 9199138136 10349030403 11498922670 13798707204 17248384005 19548168539 20698060806 22997845340 27597414408 31047091209 34496768010 39096337078 41396121612 45995690680 51745152015 58644505617 62094182418 68993536020 78192674156 82792243224 97740842695 103490304030 117289011234 124188364836 137987072040 155235456045 156385348312 175933516851 195481685390 206980608060 234578022468 248376729672 293222528085 310470912090 351867033702 390963370780 413961216120 469156044936 527800550553 586445056170 620941824180 703734067404 781926741560 879667584255 1055601101106 1172890112340 1241883648360 1407468134808 1759335168510 2111202202212 2345780224680 2639002752765 3518670337020 4222404404424 5278005505530 7037340674040 10556011011060 21112022022120