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210001021020 = 223257571291887
BaseRepresentation
bin1100001110010100001…
…0010100100001011100
3202002001022222012012100
43003211002110201130
511420040230133040
6240250110405100
721113010140460
oct3034502244134
9662038865170
10210001021020
118107411332a
1234848b00790
1316a592a62ab
14a24242c4a0
1556e1484b30
hex30e509485c

210001021020 has 144 divisors (see below), whose sum is σ = 729281000448. Its totient is φ = 47916005760.

The previous prime is 210001021019. The next prime is 210001021031. The reversal of 210001021020 is 20120100012.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 210001020993 and 210001021011.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 573517 + ... + 865403.

It is an arithmetic number, because the mean of its divisors is an integer number (5064451392).

Almost surely, 2210001021020 is an apocalyptic number.

210001021020 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 210001021020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (364640500224).

210001021020 is an abundant number, since it is smaller than the sum of its proper divisors (519279979428).

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

210001021020 is a wasteful number, since it uses less digits than its factorization.

210001021020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 292480 (or 292475 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 210001021020 its reverse (20120100012), we get a palindrome (230121121032).

The spelling of 210001021020 in words is "two hundred ten billion, one million, twenty-one thousand, twenty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 28 30 35 36 42 45 60 63 70 84 90 105 126 140 180 210 252 315 420 571 630 1142 1260 1713 2284 2855 3426 3997 5139 5710 6852 7994 8565 10278 11420 11991 15988 17130 19985 20556 23982 25695 34260 35973 39970 47964 51390 59955 71946 79940 102780 119910 143892 179865 239820 291887 359730 583774 719460 875661 1167548 1459435 1751322 2043209 2626983 2918870 3502644 4086418 4378305 5253966 5837740 6129627 8172836 8756610 10216045 10507932 12259254 13134915 17513220 18388881 20432090 24518508 26269830 30648135 36777762 40864180 52539660 61296270 73555524 91944405 122592540 166667477 183888810 333334954 367777620 500002431 666669908 833337385 1000004862 1166672339 1500007293 1666674770 2000009724 2333344678 2500012155 3000014586 3333349540 3500017017 4666689356 5000024310 5833361695 6000029172 7000034034 7500036465 10000048620 10500051051 11666723390 14000068068 15000072930 17500085085 21000102102 23333446780 30000145860 35000170170 42000204204 52500255255 70000340340 105000510510 210001021020