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101211000020 = 22513389273077
BaseRepresentation
bin101111001000010100…
…1010100110011010100
3100200020120100111222022
41132100221110303110
53124240004000040
6114255022552312
710212050206544
oct1362051246324
9320216314868
10101211000020
1139a17a75369
1217747438698
13970c6859c0
144c81c15324
1529756e96b5
hex1790a54cd4

101211000020 has 24 divisors (see below), whose sum is σ = 228892569864. Its totient is φ = 37370215296.

The previous prime is 101211000013. The next prime is 101211000031. The reversal of 101211000020 is 20000112101.

It can be written as a sum of positive squares in 4 ways, for example, as 374267716 + 100836732304 = 19346^2 + 317548^2 .

It is a junction number, because it is equal to n+sod(n) for n = 101210999971 and 101211000007.

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 7 ways as a sum of consecutive naturals, for example, 194636279 + ... + 194636798.

It is an arithmetic number, because the mean of its divisors is an integer number (9537190411).

Almost surely, 2101211000020 is an apocalyptic number.

101211000020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101211000020 is an abundant number, since it is smaller than the sum of its proper divisors (127681569844).

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

101211000020 is a wasteful number, since it uses less digits than its factorization.

101211000020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 389273099 (or 389273097 counting only the distinct ones).

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

Adding to 101211000020 its reverse (20000112101), we get a palindrome (121211112121).

The spelling of 101211000020 in words is "one hundred one billion, two hundred eleven million, twenty", and thus it is an aban number.

Divisors: 1 2 4 5 10 13 20 26 52 65 130 260 389273077 778546154 1557092308 1946365385 3892730770 5060550001 7785461540 10121100002 20242200004 25302750005 50605500010 101211000020