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10113243402123 = 333173972277517
BaseRepresentation
bin1001001100101010110001…
…0001111100111110001011
31022210211001022200010111000
42103022230101330332023
52311143410302331443
633301543200110043
72062441412362521
oct223125421747613
938724038603430
1010113243402123
11324a003281154
121174020905323
135848a05ac184
1426d6aad98311
15128106b5d8d3
hex932ac47cf8b

10113243402123 has 128 divisors (see below), whose sum is σ = 15911273226240. Its totient is φ = 6340050247680.

The previous prime is 10113243402113. The next prime is 10113243402131. The reversal of 10113243402123 is 32120434231101.

10113243402123 is a `hidden beast` number, since 1 + 0 + 1 + 1 + 3 + 243 + 402 + 12 + 3 = 666.

It is not a de Polignac number, because 10113243402123 - 216 = 10113243336587 is a prime.

It is a super-2 number, since 2×101132434021232 (a number of 27 digits) contains 22 as substring.

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 (10113243402113) by changing a digit.

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 127 ways as a sum of consecutive naturals, for example, 1345379161 + ... + 1345386677.

It is an arithmetic number, because the mean of its divisors is an integer number (124306822080).

Almost surely, 210113243402123 is an apocalyptic number.

10113243402123 is a deficient number, since it is larger than the sum of its proper divisors (5798029824117).

10113243402123 is a wasteful number, since it uses less digits than its factorization.

10113243402123 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7954 (or 7948 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

Adding to 10113243402123 its reverse (32120434231101), we get a palindrome (42233677633224).

The spelling of 10113243402123 in words is "ten trillion, one hundred thirteen billion, two hundred forty-three million, four hundred two thousand, one hundred twenty-three".

Divisors: 1 3 9 27 31 73 93 97 219 227 279 291 657 681 837 873 1971 2043 2263 2619 3007 6129 6789 7037 7081 7517 9021 16571 20367 21111 21243 22019 22551 27063 49713 61101 63333 63729 66057 67653 81189 149139 189999 191187 198171 202959 219511 233027 447417 513701 548741 594513 658533 682589 699081 729149 1541103 1607387 1646223 1706359 1975599 2047767 2097243 2187447 4623309 4822161 4938669 5119077 5926797 6143301 6291729 6562341 13869927 14466483 14816007 15357231 17010971 18429903 19687023 22603619 43399449 46071693 49828997 51032913 52897129 53227877 67810857 124564207 149486991 153098739 158691387 159683631 165516823 203432571 373692621 448460973 459296217 476074161 479050893 496550469 610297713 1121077863 1345382919 1428222483 1437152679 1489651407 1650064187 3363233589 3861490417 4468954221 4950192561 5131021513 11584471251 12082728079 14850577683 15393064539 34753413753 36248184237 44551733049 46179193617 104260241259 108744552711 138537580851 326233658133 374564570449 1123693711347 3371081134041 10113243402123