Search a number
-
+
120011021303004 = 2233131934391008863
BaseRepresentation
bin11011010010011000111110…
…010010110011110011011100
3120201220221102102022020102000
4123102120332102303303130
5111212230032423144004
61103124145125402300
734164336661543656
oct3322307622636334
9521827372266360
10120011021303004
113526a42a932297
1211562b34269390
1351c6cb58a2840
14218c7c8ac76d6
15dd1b67001c39
hex6d263e4b3cdc

120011021303004 has 192 divisors, whose sum is σ = 337577193676800. Its totient is φ = 36651423780864.

The previous prime is 120011021302999. The next prime is 120011021303027. The reversal of 120011021303004 is 400303120110021.

120011021303004 is a `hidden beast` number, since 1 + 200 + 110 + 21 + 30 + 300 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 118452277 + ... + 119461139.

It is an arithmetic number, because the mean of its divisors is an integer number (1758214550400).

Almost surely, 2120011021303004 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 120011021303004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168788596838400).

120011021303004 is an abundant number, since it is smaller than the sum of its proper divisors (217566172373796).

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

120011021303004 is a wasteful number, since it uses less digits than its factorization.

120011021303004 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1009521 (or 1009513 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 120011021303004 its reverse (400303120110021), we get a palindrome (520314141413025).

The spelling of 120011021303004 in words is "one hundred twenty trillion, eleven billion, twenty-one million, three hundred three thousand, four".