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106382163811 = 7118318319091
BaseRepresentation
bin110001100010011011…
…1101111111101100011
3101011120221210212010011
41203010313233331203
53220332313220221
6120512110545351
710454151321040
oct1430467577543
9334527725104
10106382163811
1141130a5a250
121874b208257
13a054b13531
1452129101c7
152b796b11e1
hex18c4deff63

106382163811 has 32 divisors (see below), whose sum is σ = 134318370816. Its totient is φ = 81842724000.

The previous prime is 106382163809. The next prime is 106382163821. The reversal of 106382163811 is 118361283601.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 106382163811 - 21 = 106382163809 is a prime.

It is a super-2 number, since 2×1063821638112 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (106382163821) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11697376 + ... + 11706466.

It is an arithmetic number, because the mean of its divisors is an integer number (4197449088).

Almost surely, 2106382163811 is an apocalyptic number.

106382163811 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

106382163811 is a deficient number, since it is larger than the sum of its proper divisors (27936207005).

106382163811 is a wasteful number, since it uses less digits than its factorization.

106382163811 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11023.

The product of its (nonzero) digits is 41472, while the sum is 40.

The spelling of 106382163811 in words is "one hundred six billion, three hundred eighty-two million, one hundred sixty-three thousand, eight hundred eleven".

Divisors: 1 7 11 77 83 581 913 1831 6391 9091 12817 20141 63637 100001 140987 151973 700007 754553 1063811 1671703 5281871 8300083 11701921 16645621 58100581 116519347 183101831 1281712817 1381586543 9671105801 15197451973 106382163811