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2022122101120 = 27511287233253
BaseRepresentation
bin11101011011001111110…
…111101001100110000000
321011022110011111000200121
4131123033313221212000
5231112301224213440
64144541114230024
7266044033155502
oct35331767514600
97138404430617
102022122101120
1170a639233890
12287a98725314
131188ba797734
146dc2a935d72
15379001c934a
hex1d6cfde9980

2022122101120 has 64 divisors (see below), whose sum is σ = 5273602543440. Its totient is φ = 735317125120.

The previous prime is 2022122101117. The next prime is 2022122101151. The reversal of 2022122101120 is 211012212202.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 2022122101094 and 2022122101103.

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 143609587 + ... + 143623666.

Almost surely, 22022122101120 is an apocalyptic number.

2022122101120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2022122101120 is an abundant number, since it is smaller than the sum of its proper divisors (3251480442320).

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

2022122101120 is a wasteful number, since it uses less digits than its factorization.

2022122101120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 287233283 (or 287233271 counting only the distinct ones).

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

Adding to 2022122101120 its reverse (211012212202), we get a palindrome (2233134313322).

The spelling of 2022122101120 in words is "two trillion, twenty-two billion, one hundred twenty-two million, one hundred one thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 55 64 80 88 110 128 160 176 220 320 352 440 640 704 880 1408 1760 3520 7040 287233253 574466506 1148933012 1436166265 2297866024 2872332530 3159565783 4595732048 5744665060 6319131566 9191464096 11489330120 12638263132 15797828915 18382928192 22978660240 25276526264 31595657830 36765856384 45957320480 50553052528 63191315660 91914640960 101106105056 126382631320 183829281920 202212210112 252765262640 404424420224 505530525280 1011061050560 2022122101120