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123000331020 = 22357853343327
BaseRepresentation
bin111001010001101100…
…1000001101100001100
3102202111002211012220120
41302203121001230030
54003401041043040
6132301111544540
711613030364110
oct1624331015414
9382432735816
10123000331020
1148189531236
121ba0868b150
13b7a2986478
145d4b9d7740
1532ed5b27d0
hex1ca3641b0c

123000331020 has 96 divisors (see below), whose sum is σ = 394063638528. Its totient is φ = 28081320192.

The previous prime is 123000330997. The next prime is 123000331033. The reversal of 123000331020 is 20133000321.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 186597 + ... + 529923.

It is an arithmetic number, because the mean of its divisors is an integer number (4104829568).

Almost surely, 2123000331020 is an apocalyptic number.

123000331020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 123000331020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (197031819264).

123000331020 is an abundant number, since it is smaller than the sum of its proper divisors (271063307508).

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

123000331020 is a wasteful number, since it uses less digits than its factorization.

123000331020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 344199 (or 344197 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 15.

Adding to 123000331020 its reverse (20133000321), we get a palindrome (143133331341).

The spelling of 123000331020 in words is "one hundred twenty-three billion, three hundred thirty-one thousand, twenty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 60 70 84 105 140 210 420 853 1706 2559 3412 4265 5118 5971 8530 10236 11942 12795 17060 17913 23884 25590 29855 35826 51180 59710 71652 89565 119420 179130 343327 358260 686654 1029981 1373308 1716635 2059962 2403289 3433270 4119924 4806578 5149905 6866540 7209867 9613156 10299810 12016445 14419734 20599620 24032890 28839468 36049335 48065780 72098670 144197340 292857931 585715862 878573793 1171431724 1464289655 1757147586 2050005517 2928579310 3514295172 4100011034 4392868965 5857158620 6150016551 8200022068 8785737930 10250027585 12300033102 17571475860 20500055170 24600066204 30750082755 41000110340 61500165510 123000331020