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210113210020 = 225767107209347
BaseRepresentation
bin1100001110101110111…
…0010010011010100100
3202002100011001222120111
43003223232102122210
511420302440210040
6240305155142404
721115541550220
oct3035356223244
9662304058514
10210113210020
118112147a60a
123487a5a4a04
1316a765c6b0c
14a2532b3780
1556eb245dea
hex30ebb926a4

210113210020 has 96 divisors (see below), whose sum is σ = 516583775232. Its totient is φ = 70300061568.

The previous prime is 210113209991. The next prime is 210113210029. The reversal of 210113210020 is 20012311012.

210113210020 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 2×2101132100202 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (210113210029) by changing a digit.

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, 898987 + ... + 1108333.

It is an arithmetic number, because the mean of its divisors is an integer number (5381080992).

Almost surely, 2210113210020 is an apocalyptic number.

210113210020 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 210113210020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (258291887616).

210113210020 is an abundant number, since it is smaller than the sum of its proper divisors (306470565212).

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

210113210020 is a wasteful number, since it uses less digits than its factorization.

210113210020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 209537 (or 209535 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 13.

Adding to 210113210020 its reverse (20012311012), we get a palindrome (230125521032).

The spelling of 210113210020 in words is "two hundred ten billion, one hundred thirteen million, two hundred ten thousand, twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 67 70 107 134 140 214 268 335 428 469 535 670 749 938 1070 1340 1498 1876 2140 2345 2996 3745 4690 7169 7490 9380 14338 14980 28676 35845 50183 71690 100366 143380 200732 209347 250915 418694 501830 837388 1003660 1046735 1465429 2093470 2930858 4186940 5861716 7327145 14026249 14654290 22400129 28052498 29308580 44800258 56104996 70131245 89600516 98183743 112000645 140262490 156800903 196367486 224001290 280524980 313601806 392734972 448002580 490918715 627203612 784004515 981837430 1500808643 1568009030 1963674860 3001617286 3136018060 6003234572 7504043215 10505660501 15008086430 21011321002 30016172860 42022642004 52528302505 105056605010 210113210020