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127829109011 = 4326591118003
BaseRepresentation
bin111011100001100110…
…1010110100100010011
3110012221122000120000212
41313003031112210103
54043243222442021
6134420205234335
712143503333052
oct1670315264423
9405848016025
10127829109011
114a23722164a
12209358629ab
13c0921c5756
146289048399
1534d249685b
hex1dc3356913

127829109011 has 8 divisors (see below), whose sum is σ = 130851188160. Its totient is φ = 124809271272.

The previous prime is 127829108999. The next prime is 127829109013. The reversal of 127829109011 is 110901928721.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-127829109011 is a prime.

It is a super-2 number, since 2×1278291090112 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 127829109011.

It is not an unprimeable number, because it can be changed into a prime (127829109013) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 444665 + ... + 673338.

It is an arithmetic number, because the mean of its divisors is an integer number (16356398520).

Almost surely, 2127829109011 is an apocalyptic number.

127829109011 is a deficient number, since it is larger than the sum of its proper divisors (3022079149).

127829109011 is a wasteful number, since it uses less digits than its factorization.

127829109011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1120705.

The product of its (nonzero) digits is 18144, while the sum is 41.

The spelling of 127829109011 in words is "one hundred twenty-seven billion, eight hundred twenty-nine million, one hundred nine thousand, eleven".

Divisors: 1 43 2659 114337 1118003 48074129 2972769977 127829109011