Search a number
-
+
120401034142023 = 3283217997393891
BaseRepresentation
bin11011011000000100001100…
…110111101110000101000111
3120210022020010002021021002200
4123120010030313232011013
5111240122304220021043
61104023245502205543
734234454603145405
oct3330041467560507
9523266102237080
10120401034142023
11353aa878a19838
121160663a8838b3
1352249cc09a56b
1421a362670a475
15ddbd91c267d3
hex6d810cdee147

120401034142023 has 24 divisors (see below), whose sum is σ = 176016035395200. Its totient is φ = 79296630996240.

The previous prime is 120401034142021. The next prime is 120401034142027. The reversal of 120401034142023 is 320241430104021.

120401034142023 is a `hidden beast` number, since 1 + 2 + 0 + 40 + 1 + 0 + 3 + 414 + 202 + 3 = 666.

It is not a de Polignac number, because 120401034142023 - 21 = 120401034142021 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120401034142021) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12586908 + ... + 19980798.

It is an arithmetic number, because the mean of its divisors is an integer number (7334001474800).

Almost surely, 2120401034142023 is an apocalyptic number.

120401034142023 is a deficient number, since it is larger than the sum of its proper divisors (55615001253177).

120401034142023 is a wasteful number, since it uses less digits than its factorization.

120401034142023 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7415779 (or 7415776 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 120401034142023 its reverse (320241430104021), we get a palindrome (440642464246044).

The spelling of 120401034142023 in words is "one hundred twenty trillion, four hundred one billion, thirty-four million, one hundred forty-two thousand, twenty-three".

Divisors: 1 3 9 83 249 747 21799 65397 196191 1809317 5427951 7393891 16283853 22181673 66545019 613692953 1841078859 5523236577 161179429909 483538289727 1450614869181 13377892682447 40133678047341 120401034142023