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103141114310104 = 23134753469184871
BaseRepresentation
bin10111011100111001101001…
…011110101110110111011000
3111112012012020121001111120121
4113130321221132232313120
5102004331000230410404
61003210212423403024
730503461651222213
oct2734715136566730
9445165217044517
10103141114310104
112a9559a0165732
12b6995325b3474
13457221c359110
141b680b131c77a
15bdce0c995e54
hex5dce697aedd8

103141114310104 has 128 divisors (see below), whose sum is σ = 216758796871680. Its totient is φ = 45701395084800.

The previous prime is 103141114310099. The next prime is 103141114310159. The reversal of 103141114310104 is 401013411141301.

It is a super-2 number, since 2×1031411143101042 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1215226789 + ... + 1215311659.

It is an arithmetic number, because the mean of its divisors is an integer number (1693428100560).

Almost surely, 2103141114310104 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 103141114310104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108379398435840).

103141114310104 is an abundant number, since it is smaller than the sum of its proper divisors (113617682561576).

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

103141114310104 is a wasteful number, since it uses less digits than its factorization.

103141114310104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 89681 (or 89677 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 25.

Adding to 103141114310104 its reverse (401013411141301), we get a palindrome (504154525451405).

The spelling of 103141114310104 in words is "one hundred three trillion, one hundred forty-one billion, one hundred fourteen million, three hundred ten thousand, one hundred four".

Divisors: 1 2 4 8 13 26 47 52 53 94 104 106 188 212 376 424 611 689 1222 1378 2444 2491 2756 4691 4888 4982 5512 9382 9964 18764 19928 32383 37528 60983 64766 84871 121966 129532 169742 220477 243932 248623 259064 339484 440954 487864 497246 678968 881908 994492 1103323 1763816 1988984 2206646 2866201 3232099 3988937 4413292 4498163 5732402 6464198 7977874 8826584 8996326 11464804 11685281 12928396 15955748 17992652 22929608 23370562 25856792 31911496 35985304 46741124 51856181 58476119 93482248 103712362 116952238 151908653 207424724 211413661 233904476 303817306 398129861 414849448 422827322 467808952 607634612 796259722 845654644 1215269224 1592519444 1691309288 2748377593 3185038888 5175688193 5496755186 10351376386 10993510372 18712103467 20702752772 21100882633 21987020744 37424206934 41405505544 42201765266 74848413868 84403530532 149696827736 168807061064 243257345071 274311474229 486514690142 548622948458 973029380284 991741483751 1097245896916 1946058760568 1983482967502 2194491793832 3966965935004 7933931870008 12892639288763 25785278577526 51570557155052 103141114310104