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1312022000250 = 232531344855453
BaseRepresentation
bin10011000101111010100…
…110101111001001111010
311122102120001212100020200
4103011322212233021322
5132444010113002000
62442422400503030
7163535061664653
oct23057246571172
94572501770220
101312022000250
1146647523a995
1219234161aa76
1396952992960
144770609252a
15241de58e500
hex1317a9af27a

1312022000250 has 96 divisors (see below), whose sum is σ = 3820608149904. Its totient is φ = 322959254400.

The previous prime is 1312022000243. The next prime is 1312022000299. The reversal of 1312022000250 is 520002202131.

1312022000250 is a `hidden beast` number, since 13 + 1 + 202 + 200 + 0 + 250 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 3590286561 + 1308431713689 = 59919^2 + 1143867^2 .

It is a super-2 number, since 2×13120220002502 (a number of 25 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 22398477 + ... + 22456976.

Almost surely, 21312022000250 is an apocalyptic number.

1312022000250 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1312022000250 is an abundant number, since it is smaller than the sum of its proper divisors (2508586149654).

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

1312022000250 is a wasteful number, since it uses less digits than its factorization.

1312022000250 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44855489 (or 44855476 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

Adding to 1312022000250 its reverse (520002202131), we get a palindrome (1832024202381).

The spelling of 1312022000250 in words is "one trillion, three hundred twelve billion, twenty-two million, two hundred fifty", and thus it is an aban number.

Divisors: 1 2 3 5 6 9 10 13 15 18 25 26 30 39 45 50 65 75 78 90 117 125 130 150 195 225 234 250 325 375 390 450 585 650 750 975 1125 1170 1625 1950 2250 2925 3250 4875 5850 9750 14625 29250 44855453 89710906 134566359 224277265 269132718 403699077 448554530 583120889 672831795 807398154 1121386325 1166241778 1345663590 1749362667 2018495385 2242772650 2915604445 3364158975 3498725334 4036990770 5248088001 5606931625 5831208890 6728317950 8746813335 10092476925 10496176002 11213863250 14578022225 16820794875 17493626670 20184953850 26240440005 29156044450 33641589750 43734066675 50462384625 52480880010 72890111125 87468133350 100924769250 131202200025 145780222250 218670333375 262404400050 437340666750 656011000125 1312022000250