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210030130020 = 223567257203293
BaseRepresentation
bin1100001110011011000…
…1010111001101100100
3202002010100202002020110
43003212301113031210
511420120203130040
6240253030333020
721113512435404
oct3034661271544
9662110662213
10210030130020
1181089595357
12348567ba170
1316a62328859
14a246248804
1556e3cd4980
hex30e6c57364

210030130020 has 96 divisors (see below), whose sum is σ = 599187109248. Its totient is φ = 54957146112.

The previous prime is 210030129997. The next prime is 210030130031. The reversal of 210030130020 is 20031030012.

It is a happy number.

210030130020 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2100301300202 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 210030129978 and 210030130005.

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 31 ways as a sum of consecutive naturals, for example, 931494 + ... + 1134786.

It is an arithmetic number, because the mean of its divisors is an integer number (6241532388).

Almost surely, 2210030130020 is an apocalyptic number.

210030130020 is a gapful number since it is divisible by the number (20) 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 210030130020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (299593554624).

210030130020 is an abundant number, since it is smaller than the sum of its proper divisors (389156979228).

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

210030130020 is a wasteful number, since it uses less digits than its factorization.

210030130020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 203629 (or 203627 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

Adding to 210030130020 its reverse (20031030012), we get a palindrome (230061160032).

The spelling of 210030130020 in words is "two hundred ten billion, thirty million, one hundred thirty thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 67 134 201 257 268 335 402 514 670 771 804 1005 1028 1285 1340 1542 2010 2570 3084 3855 4020 5140 7710 15420 17219 34438 51657 68876 86095 103314 172190 203293 206628 258285 344380 406586 516570 609879 813172 1016465 1033140 1219758 2032930 2439516 3049395 4065860 6098790 12197580 13620631 27241262 40861893 52246301 54482524 68103155 81723786 104492602 136206310 156738903 163447572 204309465 208985204 261231505 272412620 313477806 408618930 522463010 626955612 783694515 817237860 1044926020 1567389030 3134778060 3500502167 7001004334 10501506501 14002008668 17502510835 21003013002 35005021670 42006026004 52507532505 70010043340 105015065010 210030130020