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12258297051 = 37111319239341
BaseRepresentation
bin10110110101010011…
…01100010011011011
31011122022011000021220
423122221230103123
5200101111001201
65344213503123
7612525543240
oct133251542333
934568130256
1012258297051
115220542010
122461341aa3
131204820910
148440575c7
154bb293036
hex2daa6c4db

12258297051 has 128 divisors (see below), whose sum is σ = 24106844160. Its totient is φ = 5326041600.

The previous prime is 12258297031. The next prime is 12258297059. The reversal of 12258297051 is 15079285221.

It is not a de Polignac number, because 12258297051 - 215 = 12258264283 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 12258296994 and 12258297012.

It is not an unprimeable number, because it can be changed into a prime (12258297059) 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 127 ways as a sum of consecutive naturals, for example, 1307641 + ... + 1316981.

It is an arithmetic number, because the mean of its divisors is an integer number (188334720).

Almost surely, 212258297051 is an apocalyptic number.

12258297051 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

12258297051 is a deficient number, since it is larger than the sum of its proper divisors (11848547109).

12258297051 is a wasteful number, since it uses less digits than its factorization.

12258297051 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9417.

The product of its (nonzero) digits is 100800, while the sum is 42.

The spelling of 12258297051 in words is "twelve billion, two hundred fifty-eight million, two hundred ninety-seven thousand, fifty-one".

Divisors: 1 3 7 11 13 19 21 23 33 39 57 69 77 91 133 143 161 209 231 247 253 273 299 399 429 437 483 627 741 759 897 1001 1311 1463 1729 1771 2093 2717 3003 3059 3289 4389 4807 5187 5313 5681 6279 8151 9177 9341 9867 14421 17043 19019 23023 28023 33649 39767 57057 62491 65387 69069 100947 102751 119301 121433 177479 187473 196161 214843 308253 364299 437437 532437 644529 719257 850031 1242353 1312311 1335763 1503901 1952269 2157771 2307227 2363273 2550093 2792959 3727059 4007289 4082017 4511703 5856807 6921681 7089819 8378877 9350341 12246051 13665883 16150589 16542911 19550713 25379497 28051023 28574119 30722549 40997649 44902187 48451767 49628733 53066221 58652139 76138491 85722357 92167647 134706561 159198663 177656479 215057843 314315309 371463547 532969437 583728431 645173529 942945927 1114390641 1751185293 4086099017 12258297051