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11312427357 = 36711792551
BaseRepresentation
bin10101000100100010…
…11111000101011101
31002012101022212000000
422202101133011131
5141131440133412
65110304324513
7550222021530
oct124221370535
932171285000
1011312427357
114885630120
122238613739
1310b3886aca
1479459aa17
154632054dc
hex2a245f15d

11312427357 has 112 divisors (see below), whose sum is σ = 21422100480. Its totient is φ = 5799924000.

The previous prime is 11312427311. The next prime is 11312427361. The reversal of 11312427357 is 75372421311.

11312427357 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 11312427357 - 26 = 11312427293 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11312427377) by changing a digit.

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 111 ways as a sum of consecutive naturals, for example, 4433232 + ... + 4435782.

Almost surely, 211312427357 is an apocalyptic number.

It is an amenable number.

11312427357 is a deficient number, since it is larger than the sum of its proper divisors (10109673123).

11312427357 is an equidigital number, since it uses as much as digits as its factorization.

11312427357 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2666 (or 2651 counting only the distinct ones).

The product of its digits is 35280, while the sum is 36.

Adding to 11312427357 its reverse (75372421311), we get a palindrome (86684848668).

The spelling of 11312427357 in words is "eleven billion, three hundred twelve million, four hundred twenty-seven thousand, three hundred fifty-seven".

Divisors: 1 3 7 9 11 21 27 33 63 77 79 81 99 189 231 237 243 297 553 567 693 711 729 869 891 1659 1701 2079 2133 2551 2607 2673 4977 5103 6083 6237 6399 7653 7821 8019 14931 17857 18249 18711 19197 22959 23463 28061 44793 53571 54747 56133 57591 68877 70389 84183 134379 160713 164241 196427 201529 206631 211167 252549 403137 482139 492723 589281 604587 619893 633501 757647 1410703 1446417 1478169 1767843 1813761 1859679 2216819 2272941 4232109 4339251 4434507 5303529 5441283 6650457 6818823 12696327 13017753 15517733 15910587 16323849 19951371 20456469 38088981 46553199 47731761 48971547 59854113 114266943 139659597 143195283 146914641 179562339 342800829 418978791 538687017 1028402487 1256936373 1616061051 3770809119 11312427357