Search a number
-
+
10110022220100 = 22352113063643097
BaseRepresentation
bin1001001100011110110001…
…0010000111100101000100
31022210111201211110010110010
42103013230102013211010
52311120311142020400
633300251411030220
72062265526651345
oct223075422074504
938714654403403
1010110022220100
1132486aaa80450
121173481b9b370
135844a91351ca
1426d4832580cc
15127eb8e79450
hex931ec487944

10110022220100 has 72 divisors (see below), whose sum is σ = 31910906508768. Its totient is φ = 2450914476800.

The previous prime is 10110022220093. The next prime is 10110022220107. The reversal of 10110022220100 is 102222001101.

It is an interprime number because it is at equal distance from previous prime (10110022220093) and next prime (10110022220107).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is not an unprimeable number, because it can be changed into a prime (10110022220107) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1531818249 + ... + 1531824848.

It is an arithmetic number, because the mean of its divisors is an integer number (443207034844).

Almost surely, 210110022220100 is an apocalyptic number.

10110022220100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10110022220100 is an abundant number, since it is smaller than the sum of its proper divisors (21800884288668).

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

10110022220100 is a wasteful number, since it uses less digits than its factorization.

10110022220100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3063643125 (or 3063643118 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 10110022220100 its reverse (102222001101), we get a palindrome (10212244221201).

The spelling of 10110022220100 in words is "ten trillion, one hundred ten billion, twenty-two million, two hundred twenty thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 25 30 33 44 50 55 60 66 75 100 110 132 150 165 220 275 300 330 550 660 825 1100 1650 3300 3063643097 6127286194 9190929291 12254572388 15318215485 18381858582 30636430970 33700074067 36763717164 45954646455 61272861940 67400148134 76591077425 91909292910 101100222201 134800296268 153182154850 168500370335 183818585820 202200444402 229773232275 306364309700 337000740670 404400888804 459546464550 505501111005 674001481340 842501851675 919092929100 1011002222010 1685003703350 2022004444020 2527505555025 3370007406700 5055011110050 10110022220100