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10334021340100 = 2252312107534041
BaseRepresentation
bin1001011001100001001110…
…1010111100101111000100
31100120220220201022102111211
42112120103222330233010
52323303033430340400
633551214525341204
72114415453032263
oct226302352745704
940526821272454
1010334021340100
1133246a7703717
1211aa976a07804
1359c656502cb3
1427a2527c65da
1512dc292b8dba
hex96613abcbc4

10334021340100 has 54 divisors (see below), whose sum is σ = 23171542904202. Its totient is φ = 4000266288000.

The previous prime is 10334021340073. The next prime is 10334021340143. The reversal of 10334021340100 is 104312043301.

10334021340100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 3 ways, for example, as 213466176576 + 10120555163524 = 462024^2 + 3181282^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 53670921 + ... + 53863120.

Almost surely, 210334021340100 is an apocalyptic number.

10334021340100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10334021340100 is an abundant number, since it is smaller than the sum of its proper divisors (12837521564102).

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

10334021340100 is a wasteful number, since it uses less digits than its factorization.

10334021340100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 107534117 (or 107534079 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 22.

Adding to 10334021340100 its reverse (104312043301), we get a palindrome (10438333383401).

The spelling of 10334021340100 in words is "ten trillion, three hundred thirty-four billion, twenty-one million, three hundred forty thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 31 50 62 100 124 155 310 620 775 961 1550 1922 3100 3844 4805 9610 19220 24025 48050 96100 107534041 215068082 430136164 537670205 1075340410 2150680820 2688351025 3333555271 5376702050 6667110542 10753404100 13334221084 16667776355 33335552710 66671105420 83338881775 103340213401 166677763550 206680426802 333355527100 413360853604 516701067005 1033402134010 2066804268020 2583505335025 5167010670050 10334021340100