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11017802412 = 22341072831123
BaseRepresentation
bin10100100001011011…
…00101001010101100
31001102211221100120000
422100231211022230
5140031024134122
65021141424300
7540013526631
oct122055451254
931384840500
1011017802412
114744298031
122175a0b090
13106781b716
147673c6188
154474090ac
hex290b652ac

11017802412 has 120 divisors (see below), whose sum is σ = 29200602816. Its totient is φ = 3622192992.

The previous prime is 11017802363. The next prime is 11017802413. The reversal of 11017802412 is 21420871011.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (11017802413) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 9810483 + ... + 9811605.

Almost surely, 211017802412 is an apocalyptic number.

11017802412 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11017802412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14600301408).

11017802412 is an abundant number, since it is smaller than the sum of its proper divisors (18182800404).

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

11017802412 is a wasteful number, since it uses less digits than its factorization.

11017802412 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1529 (or 1518 counting only the distinct ones).

The product of its (nonzero) digits is 896, while the sum is 27.

The spelling of 11017802412 in words is "eleven billion, seventeen million, eight hundred two thousand, four hundred twelve".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 107 108 162 214 283 321 324 428 566 642 849 963 1123 1132 1284 1698 1926 2246 2547 2889 3369 3396 3852 4492 5094 5778 6738 7641 8667 10107 10188 11556 13476 15282 17334 20214 22923 30281 30321 30564 34668 40428 45846 60562 60642 90843 90963 91692 120161 121124 121284 181686 181926 240322 272529 317809 360483 363372 363852 480644 545058 635618 720966 817587 953427 1081449 1090116 1271236 1441932 1635174 1906854 2162898 2452761 2860281 3244347 3270348 3813708 4325796 4905522 5720562 6488694 8580843 9733041 9811044 11441124 12977388 17161686 19466082 25742529 34005563 34323372 38932164 51485058 68011126 102016689 102970116 136022252 204033378 306050067 408066756 612100134 918150201 1224200268 1836300402 2754450603 3672600804 5508901206 11017802412