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10220123001 = 31127124217
BaseRepresentation
bin10011000010010101…
…01011001101111001
3222101020222001010010
421201022223031321
5131412322414001
64410044412133
7511156416654
oct114112531571
928336861103
1010220123001
114374aa1750
121b92847049
13c6b49bb7a
146cd4a289b
153ec38e8d6
hex2612ab379

10220123001 has 24 divisors (see below), whose sum is σ = 14924228832. Its totient is φ = 6169694400.

The previous prime is 10220122999. The next prime is 10220123029. The reversal of 10220123001 is 10032102201.

10220123001 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 10220123001 - 21 = 10220122999 is a prime.

It is not an unprimeable number, because it can be changed into a prime (10220123701) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2421445 + ... + 2425661.

It is an arithmetic number, because the mean of its divisors is an integer number (621842868).

Almost surely, 210220123001 is an apocalyptic number.

10220123001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10220123001 is a deficient number, since it is larger than the sum of its proper divisors (4704105831).

10220123001 is an equidigital number, since it uses as much as digits as its factorization.

10220123001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4773 (or 4502 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

Adding to 10220123001 its reverse (10032102201), we get a palindrome (20252225202).

The spelling of 10220123001 in words is "ten billion, two hundred twenty million, one hundred twenty-three thousand, one".

Divisors: 1 3 11 33 271 813 2981 4217 8943 12651 46387 73441 139161 220323 807851 1142807 2423553 3428421 12570877 37712631 309700697 929102091 3406707667 10220123001