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4103434242100 = 2252241431587673
BaseRepresentation
bin111011101101100111101…
…111011000100000110100
3112112021200101110121200201
4323231213233120200310
51014212313131221400
612421031444450244
7602314632363214
oct73554757304064
915467611417621
104103434242100
111342290720686
125633339a9984
13239c4bc5ca9b
14102870522244
1571b1696306a
hex3bb67bd8834

4103434242100 has 144 divisors (see below), whose sum is σ = 8990753054976. Its totient is φ = 1625573376000.

The previous prime is 4103434242071. The next prime is 4103434242113. The reversal of 4103434242100 is 12424343014.

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, 6097227364 + ... + 6097228036.

It is an arithmetic number, because the mean of its divisors is an integer number (62435785104).

Almost surely, 24103434242100 is an apocalyptic number.

It is an amenable number.

4103434242100 is an abundant number, since it is smaller than the sum of its proper divisors (4887318812876).

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

4103434242100 is a wasteful number, since it uses less digits than its factorization.

4103434242100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1946 (or 1939 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 28.

Adding to 4103434242100 its reverse (12424343014), we get a palindrome (4115858585114).

The spelling of 4103434242100 in words is "four trillion, one hundred three billion, four hundred thirty-four million, two hundred forty-two thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 241 431 482 587 673 862 964 1174 1205 1346 1724 2155 2348 2410 2692 2935 3365 4310 4820 5870 6025 6730 8620 10775 11740 12050 13460 14675 16825 21550 24100 29350 33650 43100 58700 67300 103871 141467 162193 207742 252997 282934 290063 324386 395051 415484 505994 519355 565868 580126 648772 707335 790102 810965 1011988 1038710 1160252 1264985 1414670 1450315 1580204 1621930 1975255 2077420 2529970 2596775 2829340 2900630 3243860 3536675 3950510 4054825 5059940 5193550 5801260 6324925 7073350 7251575 7901020 8109650 9876275 10387100 12649850 14146700 14503150 16219300 19752550 25299700 29006300 39505100 60972277 69905183 95207291 121944554 139810366 170266981 190414582 243889108 279620732 304861385 340533962 349525915 380829164 476036455 609722770 681067924 699051830 851334905 952072910 1219445540 1398103660 1524306925 1702669810 1747629575 1904145820 2380182275 3048613850 3405339620 3495259150 4256674525 4760364550 6097227700 6990518300 8513349050 9520729100 17026698100 41034342421 82068684842 164137369684 205171712105 410343424210 820686848420 1025858560525 2051717121050 4103434242100