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34103020124112 = 24321127118016899
BaseRepresentation
bin1111100000100001110100…
…11001100111011111010000
311110202012212002221000002120
413300100322121213133100
513432220441122432422
6200310413340014240
710116601426120362
oct760207231473720
9143665762830076
1034103020124112
11a959011883765
1239a9488531380
131604b936566b4
1485c8488b0d32
153e21701da45c
hex1f043a6677d0

34103020124112 has 160 divisors (see below), whose sum is σ = 88905847756800. Its totient is φ = 11264158080000.

The previous prime is 34103020124077. The next prime is 34103020124119. The reversal of 34103020124112 is 21142102030143.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34103020124119) 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 31 ways as a sum of consecutive naturals, for example, 4943179639 + ... + 4943186537.

It is an arithmetic number, because the mean of its divisors is an integer number (555661548480).

Almost surely, 234103020124112 is an apocalyptic number.

It is an amenable number.

34103020124112 is an abundant number, since it is smaller than the sum of its proper divisors (54802827632688).

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

34103020124112 is a wasteful number, since it uses less digits than its factorization.

34103020124112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9193 (or 9187 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

Adding to 34103020124112 its reverse (21142102030143), we get a palindrome (55245122154255).

The spelling of 34103020124112 in words is "thirty-four trillion, one hundred three billion, twenty million, one hundred twenty-four thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 48 211 271 422 542 633 813 844 1084 1266 1626 1688 1801 2168 2532 3252 3376 3602 4336 5064 5403 6504 6899 7204 10128 10806 13008 13798 14408 20697 21612 27596 28816 41394 43224 55192 57181 82788 86448 110384 114362 165576 171543 228724 331152 343086 380011 457448 488071 686172 760022 914896 976142 1140033 1372344 1455689 1464213 1520044 1869629 1952284 2280066 2744688 2911378 2928426 3040088 3739258 3904568 4367067 4560132 5608887 5822756 5856852 6080176 7478516 7809136 8734134 9120264 11217774 11645512 11713704 12425099 14957032 17468268 18240528 22435548 23291024 23427408 24850198 29914064 34936536 37275297 44871096 49700396 69873072 74550594 89742192 99400792 102982981 149101188 198801584 205965962 298202376 308948943 394491719 411931924 596404752 617897886 788983438 823863848 1183475157 1235795772 1577966876 1647727696 2366950314 2471591544 2621695889 3155933752 3367201829 4733900628 4943183088 5243391778 6311867504 6734403658 7865087667 9467801256 10101605487 10486783556 13468807316 15730175334 18935602512 20203210974 20973567112 26937614632 31460350668 40406421948 41947134224 53875229264 62920701336 80812843896 125841402672 161625687792 710479585919 1420959171838 2131438757757 2841918343676 4262877515514 5683836687352 8525755031028 11367673374704 17051510062056 34103020124112