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42110333300 = 22527414013659
BaseRepresentation
bin100111001101111110…
…001011000101110100
311000200202000120120002
4213031332023011310
51142220221131200
631202322330432
73020350633010
oct471576130564
9130622016502
1042110333300
111694a204752
1281b27b9a18
133c8134a8a9
142076987540
151166de0bd5
hex9cdf8b174

42110333300 has 144 divisors (see below), whose sum is σ = 107276883840. Its totient is φ = 14046720000.

The previous prime is 42110333249. The next prime is 42110333383. The reversal of 42110333300 is 333301124.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11506871 + ... + 11510529.

It is an arithmetic number, because the mean of its divisors is an integer number (744978360).

Almost surely, 242110333300 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 42110333300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53638441920).

42110333300 is an abundant number, since it is smaller than the sum of its proper divisors (65166550540).

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

42110333300 is a wasteful number, since it uses less digits than its factorization.

42110333300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4122 (or 4115 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 20.

Adding to 42110333300 its reverse (333301124), we get a palindrome (42443634424).

The spelling of 42110333300 in words is "forty-two billion, one hundred ten million, three hundred thirty-three thousand, three hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 41 50 70 82 100 140 164 175 205 287 350 401 410 574 700 802 820 1025 1148 1435 1604 2005 2050 2807 2870 3659 4010 4100 5614 5740 7175 7318 8020 10025 11228 14035 14350 14636 16441 18295 20050 25613 28070 28700 32882 36590 40100 51226 56140 65764 70175 73180 82205 91475 102452 115087 128065 140350 150019 164410 182950 230174 256130 280700 300038 328820 365900 411025 460348 512260 575435 600076 640325 750095 822050 1050133 1150870 1280650 1467259 1500190 1644100 2100266 2301740 2561300 2877175 2934518 3000380 3750475 4200532 5250665 5754350 5869036 7336295 7500950 10270813 10501330 11508700 14672590 15001900 20541626 21002660 26253325 29345180 36681475 41083252 51354065 52506650 60157619 73362950 102708130 105013300 120315238 146725900 205416260 240630476 256770325 300788095 421103333 513540650 601576190 842206666 1027081300 1203152380 1503940475 1684413332 2105516665 3007880950 4211033330 6015761900 8422066660 10527583325 21055166650 42110333300