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120424242221001 = 32315777039106273
BaseRepresentation
bin11011011000011001110100…
…001011100000111111001001
3120210101110000111100211101100
4123120121310023200333021
5111241012322002033001
61104042044432012013
734236235661441265
oct3330316413407711
9523343014324340
10120424242221001
11354096a8309aa4
121160b037091009
135226c5a2b2084
1421a47c8ac10a5
15ddc79e439586
hex6d86742e0fc9

120424242221001 has 48 divisors (see below), whose sum is σ = 179895730094080. Its totient is φ = 77546661396480.

The previous prime is 120424242220993. The next prime is 120424242221033. The reversal of 120424242221001 is 100122242424021.

120424242221001 is a `hidden beast` number, since 1 + 2 + 0 + 4 + 2 + 424 + 22 + 210 + 0 + 1 = 666.

120424242221001 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 120424242221001 - 23 = 120424242220993 is a prime.

It is a super-2 number, since 2×1204242422210012 (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (120424242231001) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1133106201 + ... + 1133212473.

Almost surely, 2120424242221001 is an apocalyptic number.

It is an amenable number.

120424242221001 is a deficient number, since it is larger than the sum of its proper divisors (59471487873079).

120424242221001 is a wasteful number, since it uses less digits than its factorization.

120424242221001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 113926 (or 113923 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 27.

Adding to 120424242221001 its reverse (100122242424021), we get a palindrome (220546484645022).

The spelling of 120424242221001 in words is "one hundred twenty trillion, four hundred twenty-four billion, two hundred forty-two million, two hundred twenty-one thousand, one".

Divisors: 1 3 9 31 93 279 577 1731 5193 7039 17887 21117 53661 63351 106273 160983 218209 318819 654627 956457 1963881 3294463 4061503 9883389 12184509 29650167 36553527 61319521 125906593 183958563 377719779 551875689 748055647 1133159337 1900905151 2244166941 5702715453 6732500823 17108146359 23189725057 69569175171 208707525513 431628108319 1294884324957 3884652974871 13380471357889 40141414073667 120424242221001