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106011000015 = 3560111939857
BaseRepresentation
bin110001010111010111…
…1110111110011001111
3101010122002101210002220
41202232233313303033
53214102304000030
6120411211350423
710442023426614
oct1425657676317
9333562353086
10106011000015
1140a6049a408
1218666a52413
139cc5c5a29b
1451b94d450b
152b56ce6a10
hex18aebf7ccf

106011000015 has 32 divisors (see below), whose sum is σ = 170059490496. Its totient is φ = 56392089600.

The previous prime is 106011000013. The next prime is 106011000019. The reversal of 106011000015 is 510000110601.

It is not a de Polignac number, because 106011000015 - 21 = 106011000013 is a prime.

It is a super-2 number, since 2×1060110000152 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a junction number, because it is equal to n+sod(n) for n = 106010999958 and 106011000003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106011000013) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10749967 + ... + 10759823.

It is an arithmetic number, because the mean of its divisors is an integer number (5314359078).

Almost surely, 2106011000015 is an apocalyptic number.

106011000015 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

106011000015 is a deficient number, since it is larger than the sum of its proper divisors (64048490481).

106011000015 is a wasteful number, since it uses less digits than its factorization.

106011000015 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11659.

The product of its (nonzero) digits is 30, while the sum is 15.

Adding to 106011000015 its reverse (510000110601), we get a palindrome (616011110616).

The spelling of 106011000015 in words is "one hundred six billion, eleven million, fifteen", and thus it is an aban number.

Divisors: 1 3 5 15 601 1193 1803 3005 3579 5965 9015 9857 17895 29571 49285 147855 716993 2150979 3584965 5924057 10754895 11759401 17772171 29620285 35278203 58797005 88860855 176391015 7067400001 21202200003 35337000005 106011000015