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106061200441 = 7139887122891
BaseRepresentation
bin110001011000110111…
…1010111110000111001
3101010202120212020010221
41202301233113300321
53214203131403231
6120420203340041
710443203220550
oct1426157276071
9333676766127
10106061200441
1140a86867769
121867b821621
13a003485991
1451c2040d97
152b5b410d11
hex18b1bd7c39

106061200441 has 16 divisors (see below), whose sum is σ = 122223467520. Its totient is φ = 90153087120.

The previous prime is 106061200433. The next prime is 106061200459. The reversal of 106061200441 is 144002160601.

It is a cyclic number.

It is not a de Polignac number, because 106061200441 - 23 = 106061200433 is a prime.

It is a super-2 number, since 2×1060612004412 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (106061200411) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 801606 + ... + 924496.

It is an arithmetic number, because the mean of its divisors is an integer number (7638966720).

Almost surely, 2106061200441 is an apocalyptic number.

It is an amenable number.

106061200441 is a deficient number, since it is larger than the sum of its proper divisors (16162267079).

106061200441 is a wasteful number, since it uses less digits than its factorization.

106061200441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 123924.

The product of its (nonzero) digits is 1152, while the sum is 25.

The spelling of 106061200441 in words is "one hundred six billion, sixty-one million, two hundred thousand, four hundred forty-one".

Divisors: 1 7 139 887 973 6209 122891 123293 860237 863051 17081849 109004317 119572943 763030219 15151600063 106061200441