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2010431124 = 2233134333307
BaseRepresentation
bin111011111010100…
…1011111010010100
312012002222111001000
41313311023322110
513104132243444
6531254303300
7100551245142
oct16765137224
95162874030
102010431124
11941921729
12481357b30
1326068a220
14151012592
15bb773469
hex77d4be94

2010431124 has 96 divisors (see below), whose sum is σ = 5627834240. Its totient is φ = 616978944.

The previous prime is 2010431123. The next prime is 2010431141. The reversal of 2010431124 is 4211340102.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 2010431097 and 2010431106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2010431123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 606279 + ... + 609585.

Almost surely, 22010431124 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2010431124, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2813917120).

2010431124 is an abundant number, since it is smaller than the sum of its proper divisors (3617403116).

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

2010431124 is a wasteful number, since it uses less digits than its factorization.

2010431124 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3766 (or 3758 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 2010431124 is about 44837.8313926978. The cubic root of 2010431124 is about 1262.1076516207.

Adding to 2010431124 its reverse (4211340102), we get a palindrome (6221771226).

The spelling of 2010431124 in words is "two billion, ten million, four hundred thirty-one thousand, one hundred twenty-four".

Divisors: 1 2 3 4 6 9 12 13 18 26 27 36 39 52 54 78 108 117 156 234 351 433 468 702 866 1299 1404 1732 2598 3307 3897 5196 5629 6614 7794 9921 11258 11691 13228 15588 16887 19842 22516 23382 29763 33774 39684 42991 46764 50661 59526 67548 85982 89289 101322 119052 128973 151983 171964 178578 202644 257946 303966 357156 386919 515892 607932 773838 1160757 1431931 1547676 2321514 2863862 4295793 4643028 5727724 8591586 12887379 17183172 18615103 25774758 37230206 38662137 51549516 55845309 74460412 77324274 111690618 154648548 167535927 223381236 335071854 502607781 670143708 1005215562 2010431124