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101217083620 = 22516273310997
BaseRepresentation
bin101111001000100000…
…0100010000011100100
3100200020222210121002211
41132101000202003210
53124243033133440
6114255401213204
710212153005152
oct1362100420344
9320228717084
10101217083620
1139a20450034
1217749491204
139710a05a73
144c8295a3d2
152975eebeea
hex17910220e4

101217083620 has 24 divisors (see below), whose sum is σ = 212569620984. Its totient is φ = 40484215296.

The previous prime is 101217083609. The next prime is 101217083623. The reversal of 101217083620 is 26380712101.

It can be written as a sum of positive squares in 4 ways, for example, as 57942266944 + 43274816676 = 240712^2 + 208026^2 .

It is not an unprimeable number, because it can be changed into a prime (101217083623) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 169962 + ... + 480958.

It is an arithmetic number, because the mean of its divisors is an integer number (8857067541).

Almost surely, 2101217083620 is an apocalyptic number.

101217083620 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101217083620 is an abundant number, since it is smaller than the sum of its proper divisors (111352537364).

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

101217083620 is a wasteful number, since it uses less digits than its factorization.

101217083620 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 327279 (or 327277 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 31.

Adding to 101217083620 its reverse (26380712101), we get a palindrome (127597795721).

The spelling of 101217083620 in words is "one hundred one billion, two hundred seventeen million, eighty-three thousand, six hundred twenty".

Divisors: 1 2 4 5 10 20 16273 32546 65092 81365 162730 310997 325460 621994 1243988 1554985 3109970 6219940 5060854181 10121708362 20243416724 25304270905 50608541810 101217083620