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87122126105 = 5729412093527
BaseRepresentation
bin101000100100011100…
…0100010010100011001
322022212200122120022022
41101020320202110121
52411411231013410
6104005013304225
76202652565440
oct1211070422431
9268780576268
1087122126105
1133a48194913
1214a75035075
1382a582a611
144306a05d57
1523ed8ad455
hex1448e22519

87122126105 has 32 divisors (see below), whose sum is σ = 126616573440. Its totient is φ = 56273978880.

The previous prime is 87122126101. The next prime is 87122126107. The reversal of 87122126105 is 50162122178.

It is not a de Polignac number, because 87122126105 - 22 = 87122126101 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is not an unprimeable number, because it can be changed into a prime (87122126101) 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, 1005149 + ... + 1088378.

It is an arithmetic number, because the mean of its divisors is an integer number (3956767920).

Almost surely, 287122126105 is an apocalyptic number.

It is an amenable number.

87122126105 is a deficient number, since it is larger than the sum of its proper divisors (39494447335).

87122126105 is a wasteful number, since it uses less digits than its factorization.

87122126105 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2093609.

The product of its (nonzero) digits is 13440, while the sum is 35.

The spelling of 87122126105 in words is "eighty-seven billion, one hundred twenty-two million, one hundred twenty-six thousand, one hundred five".

Divisors: 1 5 7 29 35 41 145 203 205 287 1015 1189 1435 5945 8323 41615 2093527 10467635 14654689 60712283 73273445 85834607 303561415 424985981 429173035 600842249 2124929905 2489203603 3004211245 12446018015 17424425221 87122126105