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123123211020 = 22325684017839
BaseRepresentation
bin111001010101010110…
…1110001101100001100
3102202210200001011120200
41302222231301230030
54004124020223040
6132321221413500
711616052011615
oct1625255615414
9382720034520
10123123211020
114824192a857
121ba4186a290
13b7c227b224
145d60062c0c
153309286630
hex1caab71b0c

123123211020 has 36 divisors (see below), whose sum is σ = 373473740640. Its totient is φ = 32832856224.

The previous prime is 123123210983. The next prime is 123123211033. The reversal of 123123211020 is 20112321321.

123123211020 is a `hidden beast` number, since 1 + 2 + 312 + 321 + 10 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

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

It is a junction number, because it is equal to n+sod(n) for n = 123123210984 and 123123211002.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 342008740 + ... + 342009099.

Almost surely, 2123123211020 is an apocalyptic number.

123123211020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

123123211020 is an abundant number, since it is smaller than the sum of its proper divisors (250350529620).

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

123123211020 is a wasteful number, since it uses less digits than its factorization.

123123211020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 684017854 (or 684017849 counting only the distinct ones).

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

Adding to 123123211020 its reverse (20112321321), we get a palindrome (143235532341).

The spelling of 123123211020 in words is "one hundred twenty-three billion, one hundred twenty-three million, two hundred eleven thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 684017839 1368035678 2052053517 2736071356 3420089195 4104107034 6156160551 6840178390 8208214068 10260267585 12312321102 13680356780 20520535170 24624642204 30780802755 41041070340 61561605510 123123211020