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120200323104 = 25321489280297
BaseRepresentation
bin110111111110001111…
…1110110000000100000
3102111020222010002010200
41233330133312000200
53432132240314404
6131115210025200
711453450613531
oct1577437660040
9374228102120
10120200323104
1146a81a48904
121b366a18200
13b447855754
145b63bb0688
1531d7875839
hex1bfc7f6020

120200323104 has 72 divisors (see below), whose sum is σ = 342050452380. Its totient is φ = 40039723008.

The previous prime is 120200323043. The next prime is 120200323147. The reversal of 120200323104 is 401323002021.

120200323104 is a `hidden beast` number, since 120 + 200 + 32 + 310 + 4 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 110210720400 + 9989602704 = 331980^2 + 99948^2 .

It is a tau number, because it is divible by the number of its divisors (72).

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

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 288684 + ... + 568980.

Almost surely, 2120200323104 is an apocalyptic number.

It is an amenable number.

120200323104 is an abundant number, since it is smaller than the sum of its proper divisors (221850129276).

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

120200323104 is a wasteful number, since it uses less digits than its factorization.

120200323104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 281802 (or 281791 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 120200323104 its reverse (401323002021), we get a palindrome (521523325125).

The spelling of 120200323104 in words is "one hundred twenty billion, two hundred million, three hundred twenty-three thousand, one hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 1489 2978 4467 5956 8934 11912 13401 17868 23824 26802 35736 47648 53604 71472 107208 142944 214416 280297 428832 560594 840891 1121188 1681782 2242376 2522673 3363564 4484752 5045346 6727128 8969504 10090692 13454256 20181384 26908512 40362768 80725536 417362233 834724466 1252086699 1669448932 2504173398 3338897864 3756260097 5008346796 6677795728 7512520194 10016693592 13355591456 15025040388 20033387184 30050080776 40066774368 60100161552 120200323104