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1001625114 = 237233492971
BaseRepresentation
bin111011101100111…
…001011000011010
32120210201211100110
4323230321120122
54022404000424
6243220145150
733551446560
oct7354713032
92523654313
101001625114
11474433856
1223b5381b6
1312c688aa9
1497051a30
155ce02c29
hex3bb3961a

1001625114 has 64 divisors (see below), whose sum is σ = 2396620800. Its totient is φ = 272859840.

The previous prime is 1001625103. The next prime is 1001625127. The reversal of 1001625114 is 4115261001.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a Curzon number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 335649 + ... + 338619.

It is an arithmetic number, because the mean of its divisors is an integer number (37447200).

Almost surely, 21001625114 is an apocalyptic number.

1001625114 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1001625114, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1198310400).

1001625114 is an abundant number, since it is smaller than the sum of its proper divisors (1394995686).

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

1001625114 is a wasteful number, since it uses less digits than its factorization.

1001625114 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3355.

The product of its (nonzero) digits is 240, while the sum is 21.

The square root of 1001625114 is about 31648.4614791936. The cubic root of 1001625114 is about 1000.5414114874.

Adding to 1001625114 its reverse (4115261001), we get a palindrome (5116886115).

The spelling of 1001625114 in words is "one billion, one million, six hundred twenty-five thousand, one hundred fourteen".

Divisors: 1 2 3 6 7 14 21 23 42 46 69 138 161 322 349 483 698 966 1047 2094 2443 2971 4886 5942 7329 8027 8913 14658 16054 17826 20797 24081 41594 48162 56189 62391 68333 112378 124782 136666 168567 204999 337134 409998 478331 956662 1036879 1434993 2073758 2869986 3110637 6221274 7258153 14516306 21774459 23848217 43548918 47696434 71544651 143089302 166937519 333875038 500812557 1001625114