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103130123220 = 22325572945129
BaseRepresentation
bin110000000001100001…
…0001100101111010100
3100212012022112002002100
41200003002030233110
53142202302420340
6115213300242100
710310442404115
oct1400302145724
9325168462070
10103130123220
113a8122a1aa3
1217ba20a0330
139957153867
144dc4a5a20c
152a38e33830
hex180308cbd4

103130123220 has 36 divisors (see below), whose sum is σ = 312828040980. Its totient is φ = 27501366144.

The previous prime is 103130123209. The next prime is 103130123231. The reversal of 103130123220 is 22321031301.

103130123220 is a `hidden beast` number, since 10 + 31 + 301 + 2 + 322 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (103130123209) and next prime (103130123231).

It can be written as a sum of positive squares in 2 ways, for example, as 34714397124 + 68415726096 = 186318^2 + 261564^2 .

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 = 103130123193 and 103130123202.

It is a congruent number.

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, 286472385 + ... + 286472744.

It is an arithmetic number, because the mean of its divisors is an integer number (8689667805).

Almost surely, 2103130123220 is an apocalyptic number.

103130123220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

103130123220 is an abundant number, since it is smaller than the sum of its proper divisors (209697917760).

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

103130123220 is a wasteful number, since it uses less digits than its factorization.

103130123220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 572945144 (or 572945139 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 103130123220 its reverse (22321031301), we get a palindrome (125451154521).

The spelling of 103130123220 in words is "one hundred three billion, one hundred thirty million, one hundred twenty-three thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 572945129 1145890258 1718835387 2291780516 2864725645 3437670774 5156506161 5729451290 6875341548 8594176935 10313012322 11458902580 17188353870 20626024644 25782530805 34376707740 51565061610 103130123220