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2000130331122 = 232711293112171319
BaseRepresentation
bin11101000110110001000…
…011101101000111110010
321002012200112002100122200
4131012301003231013302
5230232231331043442
64130502554244030
7264335044205130
oct35066103550762
97065615070580
102000130331122
11701283479560
1228377b726616
131167c4567791
146cb41cd8750
153706467434c
hex1d1b10ed1f2

2000130331122 has 384 divisors, whose sum is σ = 5778675302400. Its totient is φ = 484652851200.

The previous prime is 2000130331117. The next prime is 2000130331141. The reversal of 2000130331122 is 2211330310002.

2000130331122 is a `hidden beast` number, since 200 + 0 + 13 + 0 + 331 + 122 = 666.

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 = 2000130331095 and 2000130331104.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1516398379 + ... + 1516399697.

It is an arithmetic number, because the mean of its divisors is an integer number (15048633600).

Almost surely, 22000130331122 is an apocalyptic number.

2000130331122 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 2000130331122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2889337651200).

2000130331122 is an abundant number, since it is smaller than the sum of its proper divisors (3778544971278).

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

2000130331122 is a wasteful number, since it uses less digits than its factorization.

2000130331122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2622 (or 2619 counting only the distinct ones).

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

Adding to 2000130331122 its reverse (2211330310002), we get a palindrome (4211460641124).

The spelling of 2000130331122 in words is "two trillion, one hundred thirty million, three hundred thirty-one thousand, one hundred twenty-two".