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101100100220 = 2257874782559
BaseRepresentation
bin101111000101000001…
…0010001101001111100
3100122221211200020001022
41132022002101221330
53124023111201340
6114240022003312
710206232446530
oct1361202215174
9318854606038
10101100100220
1139970409739
1217716276538
1396c26c6c12
144c711c7bc0
15296aae03b5
hex178a091a7c

101100100220 has 48 divisors (see below), whose sum is σ = 242670919680. Its totient is φ = 34658508864.

The previous prime is 101100100219. The next prime is 101100100243. The reversal of 101100100220 is 22001001101.

It is a junction number, because it is equal to n+sod(n) for n = 101100100198 and 101100100207.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 1183301 + ... + 1265859.

It is an arithmetic number, because the mean of its divisors is an integer number (5055644160).

Almost surely, 2101100100220 is an apocalyptic number.

101100100220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101100100220 is an abundant number, since it is smaller than the sum of its proper divisors (141570819460).

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

101100100220 is a wasteful number, since it uses less digits than its factorization.

101100100220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 91322 (or 91320 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 8.

Adding to 101100100220 its reverse (22001001101), we get a palindrome (123101101321).

The spelling of 101100100220 in words is "one hundred one billion, one hundred million, one hundred thousand, two hundred twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 140 8747 17494 34988 43735 61229 82559 87470 122458 165118 174940 244916 306145 330236 412795 577913 612290 825590 1155826 1224580 1651180 2311652 2889565 5779130 11558260 722143573 1444287146 2888574292 3610717865 5055005011 7221435730 10110010022 14442871460 20220020044 25275025055 50550050110 101100100220