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1257131106 = 232711907021
BaseRepresentation
bin100101011101110…
…0100110001100010
310020121111212200100
41022323210301202
510033311143411
6324424403230
743103303160
oct11273446142
93217455610
101257131106
11595688230
122b1016516
131705a867a
14bcd62230
1575573456
hex4aee4c62

1257131106 has 48 divisors (see below), whose sum is σ = 3395890368. Its totient is φ = 326527200.

The previous prime is 1257131093. The next prime is 1257131111. The reversal of 1257131106 is 6011317521.

It is a self number, because there is not a number n which added to its sum of digits gives 1257131106.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 452125 + ... + 454896.

It is an arithmetic number, because the mean of its divisors is an integer number (70747716).

Almost surely, 21257131106 is an apocalyptic number.

1257131106 is an abundant number, since it is smaller than the sum of its proper divisors (2138759262).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1257131106 is a wasteful number, since it uses less digits than its factorization.

1257131106 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 907047 (or 907044 counting only the distinct ones).

The product of its (nonzero) digits is 1260, while the sum is 27.

The square root of 1257131106 is about 35456.0447032660. The cubic root of 1257131106 is about 1079.2619288452.

Adding to 1257131106 its reverse (6011317521), we get a palindrome (7268448627).

The spelling of 1257131106 in words is "one billion, two hundred fifty-seven million, one hundred thirty-one thousand, one hundred six".

Divisors: 1 2 3 6 7 9 11 14 18 21 22 33 42 63 66 77 99 126 154 198 231 462 693 1386 907021 1814042 2721063 5442126 6349147 8163189 9977231 12698294 16326378 19047441 19954462 29931693 38094882 57142323 59863386 69840617 89795079 114284646 139681234 179590158 209521851 419043702 628565553 1257131106