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101110101011828 = 221011151217439207
BaseRepresentation
bin10110111111010110000111…
…101001110110110101110100
3111021000000211210012212022122
4112333112013221312311310
5101223041441324334303
6555013201132015112
730203651363066666
oct2677260751666564
9437000753185278
10101110101011828
112a24260a0a4927
12b40b994301498
13445584581789c
141ad7a7da14536
15ba518be32e38
hex5bf587a76d74

101110101011828 has 24 divisors (see below), whose sum is σ = 178849836877824. Its totient is φ = 50011017380000.

The previous prime is 101110101011827. The next prime is 101110101011911. The reversal of 101110101011828 is 828110101011101.

101110101011828 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 101110101011797 and 101110101011806.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101110101011827) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 108254600 + ... + 109184607.

It is an arithmetic number, because the mean of its divisors is an integer number (7452076536576).

Almost surely, 2101110101011828 is an apocalyptic number.

It is an amenable number.

101110101011828 is a deficient number, since it is larger than the sum of its proper divisors (77739735865996).

101110101011828 is a wasteful number, since it uses less digits than its factorization.

101110101011828 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 217440463 (or 217440461 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 26.

Adding to 101110101011828 its reverse (828110101011101), we get a palindrome (929220202022929).

The spelling of 101110101011828 in words is "one hundred one trillion, one hundred ten billion, one hundred one million, eleven thousand, eight hundred twenty-eight".

Divisors: 1 2 4 101 202 404 1151 2302 4604 116251 232502 465004 217439207 434878414 869756828 21961359907 43922719814 87845439628 250272527257 500545054514 1001090109028 25277525252957 50555050505914 101110101011828