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123042331152 = 24331321909247
BaseRepresentation
bin111001010010111100…
…1001111101000010000
3102202121000212001021000
41302211321033220100
54003442314044102
6132305212102000
711614050362346
oct1624571175020
9382530761230
10123042331152
1148200208594
121ba1a764900
13b7ab5a0510
145d5340b996
15330210c01c
hex1ca5e4fa10

123042331152 has 80 divisors (see below), whose sum is σ = 380344545280. Its totient is φ = 37859177088.

The previous prime is 123042331151. The next prime is 123042331163. The reversal of 123042331152 is 251133240321.

123042331152 is a `hidden beast` number, since 1 + 230 + 423 + 3 + 1 + 1 + 5 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (123042331151) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10949008 + ... + 10960239.

It is an arithmetic number, because the mean of its divisors is an integer number (4754306816).

Almost surely, 2123042331152 is an apocalyptic number.

123042331152 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

123042331152 is an abundant number, since it is smaller than the sum of its proper divisors (257302214128).

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

123042331152 is a wasteful number, since it uses less digits than its factorization.

123042331152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21909277 (or 21909265 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

Adding to 123042331152 its reverse (251133240321), we get a palindrome (374175571473).

The spelling of 123042331152 in words is "one hundred twenty-three billion, forty-two million, three hundred thirty-one thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 27 36 39 48 52 54 72 78 104 108 117 144 156 208 216 234 312 351 432 468 624 702 936 1404 1872 2808 5616 21909247 43818494 65727741 87636988 131455482 175273976 197183223 262910964 284820211 350547952 394366446 525821928 569640422 591549669 788732892 854460633 1051643856 1139280844 1183099338 1577465784 1708921266 2278561688 2366198676 2563381899 3154931568 3417842532 4557123376 4732397352 5126763798 6835685064 7690145697 9464794704 10253527596 13671370128 15380291394 20507055192 30760582788 41014110384 61521165576 123042331152