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232022020231001 = 711213231636155997
BaseRepresentation
bin110100110000010111010110…
…000110001000111101011001
31010102112002101112010022012202
4310300113112012020331121
5220402422044134343001
62141245240011415545
766605015646261230
oct6460272606107531
91112462345108182
10232022020231001
1167a24a93689700
12220335091545b5
139c60776048a80
144141cd6189b17
151bc565a11d96b
hexd305d6188f59

232022020231001 has 96 divisors (see below), whose sum is σ = 327559206127104. Its totient is φ = 159620316134400.

The previous prime is 232022020230997. The next prime is 232022020231037. The reversal of 232022020231001 is 100132020220232.

It is a happy number.

It is not a de Polignac number, because 232022020231001 - 22 = 232022020230997 is a prime.

It is a super-4 number, since 4×2320220202310014 (a number of 59 digits) contains 4444 as substring.

It is not an unprimeable number, because it can be changed into a prime (232022020231081) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 4143444335 + ... + 4143500331.

It is an arithmetic number, because the mean of its divisors is an integer number (3412075063824).

Almost surely, 2232022020231001 is an apocalyptic number.

It is an amenable number.

232022020231001 is a deficient number, since it is larger than the sum of its proper divisors (95537185896103).

232022020231001 is a wasteful number, since it uses less digits than its factorization.

232022020231001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72423 (or 72412 counting only the distinct ones).

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

Adding to 232022020231001 its reverse (100132020220232), we get a palindrome (332154040451233).

The spelling of 232022020231001 in words is "two hundred thirty-two trillion, twenty-two billion, twenty million, two hundred thirty-one thousand, one".

Divisors: 1 7 11 13 23 77 91 121 143 161 253 299 847 1001 1573 1771 2093 2783 3289 11011 16361 19481 23023 36179 55997 114527 179971 212693 253253 376303 391979 615967 727961 1259797 1287931 1488851 1979681 2339623 2634121 4139333 4311769 4891939 5095727 6775637 8007571 9015517 13857767 14167241 16377361 16743103 25735853 28975331 34243573 45532663 47429459 53811329 56052997 88083281 99170687 117201721 155839651 180150971 184174133 318728641 376679303 591924619 616582967 916166917 1090877557 1289218931 2025915463 4143472333 6413168419 10077836087 11910169921 14181408241 21071839091 70544852609 83371189447 110856196957 131011869131 147502873637 231790230001 273933908183 775993378699 917083083917 1441130560441 1622531610007 1917537357281 2549692530011 3013272990013 10087913923087 17847847710077 21092910930091 33146002890143 232022020231001