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123030013020 = 223512730835237
BaseRepresentation
bin111001010010100101…
…0010000010001011100
3102202120011200012221220
41302211022100101130
54003431140404040
6132304052053340
711613540566415
oct1624512202134
9382504605856
10123030013020
11481a4264812
121ba16604250
13b7a8b79795
145d5192280c
153300ec72d0
hex1ca529045c

123030013020 has 96 divisors (see below), whose sum is σ = 347375443968. Its totient is φ = 32532901632.

The previous prime is 123030012991. The next prime is 123030013027. The reversal of 123030013020 is 20310030321.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (123030013027) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 23489842 + ... + 23495078.

It is an arithmetic number, because the mean of its divisors is an integer number (3618494208).

Almost surely, 2123030013020 is an apocalyptic number.

123030013020 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 123030013020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173687721984).

123030013020 is an abundant number, since it is smaller than the sum of its proper divisors (224345430948).

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

123030013020 is a wasteful number, since it uses less digits than its factorization.

123030013020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8459 (or 8457 counting only the distinct ones).

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

Adding to 123030013020 its reverse (20310030321), we get a palindrome (143340043341).

The spelling of 123030013020 in words is "one hundred twenty-three billion, thirty million, thirteen thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 127 254 381 508 635 762 1270 1524 1905 2540 3083 3810 5237 6166 7620 9249 10474 12332 15415 15711 18498 20948 26185 30830 31422 36996 46245 52370 61660 62844 78555 92490 104740 157110 184980 314220 391541 665099 783082 1174623 1330198 1566164 1957705 1995297 2349246 2660396 3325495 3915410 3990594 4698492 5873115 6650990 7830820 7981188 9976485 11746230 13301980 16145671 19952970 23492460 32291342 39905940 48437013 64582684 80728355 96874026 161456710 193748052 242185065 322913420 484370130 968740260 2050500217 4101000434 6151500651 8202000868 10252501085 12303001302 20505002170 24606002604 30757503255 41010004340 61515006510 123030013020