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125000126145 = 3252777780581
BaseRepresentation
bin111010001101010010…
…1101000111011000001
3102221122110210100002200
41310122211220323001
54022000013014040
6133231350303413
712013422353436
oct1643245507301
9387573710080
10125000126145
1149015348984
1220286357b69
13ba3108b4ab
14609b43bb8d
1533b8e34630
hex1d1a968ec1

125000126145 has 12 divisors (see below), whose sum is σ = 216666885396. Its totient is φ = 66666733920.

The previous prime is 125000126113. The next prime is 125000126177. The reversal of 125000126145 is 541621000521.

125000126145 is a `hidden beast` number, since 1 + 2 + 500 + 0 + 12 + 6 + 145 = 666.

It is an interprime number because it is at equal distance from previous prime (125000126113) and next prime (125000126177).

It can be written as a sum of positive squares in 2 ways, for example, as 78224817969 + 46775308176 = 279687^2 + 216276^2 .

It is not a de Polignac number, because 125000126145 - 25 = 125000126113 is a prime.

It is a super-2 number, since 2×1250001261452 (a number of 23 digits) contains 22 as substring.

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1388890246 + ... + 1388890335.

It is an arithmetic number, because the mean of its divisors is an integer number (18055573783).

Almost surely, 2125000126145 is an apocalyptic number.

125000126145 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

125000126145 is a deficient number, since it is larger than the sum of its proper divisors (91666759251).

125000126145 is a wasteful number, since it uses less digits than its factorization.

125000126145 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2777780592 (or 2777780589 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 27.

Adding to 125000126145 its reverse (541621000521), we get a palindrome (666621126666).

The spelling of 125000126145 in words is "one hundred twenty-five billion, one hundred twenty-six thousand, one hundred forty-five".

Divisors: 1 3 5 9 15 45 2777780581 8333341743 13888902905 25000025229 41666708715 125000126145