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42211103120 = 2452918194441
BaseRepresentation
bin100111010011111110…
…100101000110010000
311000221202122012202122
4213103332211012100
51142422020244440
631220322233412
73023013312404
oct472376450620
9130852565678
1042211103120
11169a108159a
1282204b5868
133c991a08c4
1420860d9104
151170b987b5
hex9d3fa5190

42211103120 has 40 divisors (see below), whose sum is σ = 101524986360. Its totient is φ = 16302218240.

The previous prime is 42211103089. The next prime is 42211103153. The reversal of 42211103120 is 2130111224.

42211103120 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 4 ways, for example, as 1885643776 + 40325459344 = 43424^2 + 200812^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9094901 + ... + 9099540.

It is an arithmetic number, because the mean of its divisors is an integer number (2538124659).

Almost surely, 242211103120 is an apocalyptic number.

42211103120 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42211103120 is an abundant number, since it is smaller than the sum of its proper divisors (59313883240).

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

42211103120 is a wasteful number, since it uses less digits than its factorization.

42211103120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18194483 (or 18194477 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 17.

Adding to 42211103120 its reverse (2130111224), we get a palindrome (44341214344).

The spelling of 42211103120 in words is "forty-two billion, two hundred eleven million, one hundred three thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 29 40 58 80 116 145 232 290 464 580 1160 2320 18194441 36388882 72777764 90972205 145555528 181944410 291111056 363888820 527638789 727777640 1055277578 1455555280 2110555156 2638193945 4221110312 5276387890 8442220624 10552775780 21105551560 42211103120