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2130251025 = 35271931832
BaseRepresentation
bin111111011111001…
…0000110100010001
312111110102222001010
41332332100310101
513330321013100
6551214401133
7103534556250
oct17676206421
95443388033
102130251025
119a3520141
124b55001a9
1327c450186
14162cc2797
15c7040750
hex7ef90d11

2130251025 has 144 divisors (see below), whose sum is σ = 4427018240. Its totient is φ = 882057600.

The previous prime is 2130251009. The next prime is 2130251041. The reversal of 2130251025 is 5201520312.

It is an interprime number because it is at equal distance from previous prime (2130251009) and next prime (2130251041).

It is not a de Polignac number, because 2130251025 - 24 = 2130251009 is a prime.

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

It is a junction number, because it is equal to n+sod(n) for n = 2130250992 and 2130251010.

It is a congruent 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 143 ways as a sum of consecutive naturals, for example, 25665634 + ... + 25665716.

Almost surely, 22130251025 is an apocalyptic number.

2130251025 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

2130251025 is an abundant number, since it is smaller than the sum of its proper divisors (2296767215).

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

2130251025 is a wasteful number, since it uses less digits than its factorization.

2130251025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 236 (or 148 counting only the distinct ones).

The product of its (nonzero) digits is 600, while the sum is 21.

The square root of 2130251025 is about 46154.6425075528. The cubic root of 2130251025 is about 1286.6988939804.

Adding to 2130251025 its reverse (5201520312), we get a palindrome (7331771337).

It can be divided in two parts, 21302 and 51025, that added together give a palindrome (72327).

The spelling of 2130251025 in words is "two billion, one hundred thirty million, two hundred fifty-one thousand, twenty-five".

Divisors: 1 3 5 7 15 19 21 25 31 35 57 75 83 93 95 105 133 155 175 217 249 285 399 415 465 475 525 581 589 651 665 775 1085 1245 1425 1577 1743 1767 1995 2075 2325 2573 2905 2945 3255 3325 4123 4731 5425 6225 6889 7719 7885 8715 8835 9975 11039 12369 12865 14525 14725 16275 18011 20615 20667 23655 33117 34445 38595 39425 43575 44175 48223 48887 54033 55195 61845 64325 90055 103075 103335 118275 130891 144669 146661 165585 172225 192975 213559 241115 244435 270165 275975 309225 342209 392673 450275 516675 640677 654455 723345 733305 827925 916237 1026627 1067795 1205575 1222175 1350825 1494913 1711045 1963365 2748711 3203385 3272275 3616725 3666525 4057621 4484739 4581185 5133135 5338975 7474565 8555225 9816825 12172863 13743555 16016925 20288105 22423695 22905925 25665675 28403347 37372825 60864315 68717775 85210041 101440525 112118475 142016735 304321575 426050205 710083675 2130251025