Search a number
-
+
10110021121009 = 672223245289
BaseRepresentation
bin1001001100011110110000…
…1101111011001111110001
31022210111201202101021210001
42103013230031323033301
52311120310401333014
633300251331310001
72062265514423115
oct223075415731761
938714652337701
1010110021121009
1132486aa39a707
12117348174b301
135844a8b3bb64
1426d48304d745
15127eb8d0d974
hex931ec37b3f1

10110021121009 has 18 divisors (see below), whose sum is σ = 10309626333090. Its totient is φ = 9914246613216.

The previous prime is 10110021120931. The next prime is 10110021121063. The reversal of 10110021121009 is 90012112001101.

It can be written as a sum of positive squares in only one way, i.e., 9657973321984 + 452047799025 = 3107728^2 + 672345^2 .

It is a de Polignac number, because none of the positive numbers 2k-10110021121009 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10110021121069) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 223210837 + ... + 223256125.

It is an arithmetic number, because the mean of its divisors is an integer number (572757018505).

Almost surely, 210110021121009 is an apocalyptic number.

It is an amenable number.

10110021121009 is a deficient number, since it is larger than the sum of its proper divisors (199605212081).

10110021121009 is an frugal number, since it uses more digits than its factorization.

10110021121009 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45869 (or 45579 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 19.

The spelling of 10110021121009 in words is "ten trillion, one hundred ten billion, twenty-one million, one hundred twenty-one thousand, nine".

Divisors: 1 67 223 4489 14941 45289 49729 1001047 3034363 3331843 10099447 203302321 223233481 676662949 2252176681 45336417583 150895837627 10110021121009