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2022031212032 = 2913229805811
BaseRepresentation
bin11101011011001010011…
…100111011111000000000
321011022012211110101022002
4131123022130323320000
5231112104442241112
64144524110203132
7266041550500646
oct35331234737000
97138184411262
102022031212032
1170a5a19a5537
12287a721b34a8
131188a49c3c00
146dc1c837196
15378e72241c2
hex1d6ca73be00

2022031212032 has 120 divisors (see below), whose sum is σ = 4525657761240. Its totient is φ = 901063188480.

The previous prime is 2022031212031. The next prime is 2022031212037. The reversal of 2022031212032 is 2302121302202.

It is a happy number.

It is a super-2 number, since 2×20220312120322 (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2022031211995 and 2022031212013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2022031212031) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2106407 + ... + 2912217.

It is an arithmetic number, because the mean of its divisors is an integer number (37713814677).

Almost surely, 22022031212032 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2022031212032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2262828880620).

2022031212032 is an abundant number, since it is smaller than the sum of its proper divisors (2503626549208).

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

2022031212032 is an equidigital number, since it uses as much as digits as its factorization.

2022031212032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 805884 (or 805855 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 2022031212032 its reverse (2302121302202), we get a palindrome (4324152514234).

The spelling of 2022031212032 in words is "two trillion, twenty-two billion, thirty-one million, two hundred twelve thousand, thirty-two".

Divisors: 1 2 4 8 13 16 26 29 32 52 58 64 104 116 128 169 208 232 256 338 377 416 464 512 676 754 832 928 1352 1508 1664 1856 2704 3016 3328 3712 4901 5408 6032 6656 7424 9802 10816 12064 14848 19604 21632 24128 39208 43264 48256 78416 86528 96512 156832 193024 313664 627328 805811 1254656 1611622 2509312 3223244 6446488 10475543 12892976 20951086 23368519 25785952 41902172 46737038 51571904 83804344 93474076 103143808 136182059 167608688 186948152 206287616 272364118 303790747 335217376 373896304 412575232 544728236 607581494 670434752 747792608 1089456472 1215162988 1340869504 1495585216 2178912944 2430325976 2681739008 2991170432 3949279711 4357825888 4860651952 5363478016 5982340864 7898559422 8715651776 9721303904 11964681728 15797118844 17431303552 19442607808 31594237688 34862607104 38885215616 63188475376 69725214208 77770431232 126376950752 155540862464 252753901504 505507803008 1011015606016 2022031212032