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210231001020 = 2235109313102701
BaseRepresentation
bin1100001111001010111…
…1100111111110111100
3202002122100201101110010
43003302233213332330
511421023114013040
6240325003543220
721121502011215
oct3036257477674
9662570641403
10210231001020
1181181a12747
12348b1b2ab10
1316a94b29431
14a264bb640c
155706761e80
hex30f2be7fbc

210231001020 has 96 divisors (see below), whose sum is σ = 595950949440. Its totient is φ = 55369267200.

The previous prime is 210231000953. The next prime is 210231001067. The reversal of 210231001020 is 20100132012.

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 = 210231000987 and 210231001005.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1995670 + ... + 2098370.

It is an arithmetic number, because the mean of its divisors is an integer number (6207822390).

Almost surely, 2210231001020 is an apocalyptic number.

210231001020 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 210231001020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (297975474720).

210231001020 is an abundant number, since it is smaller than the sum of its proper divisors (385719948420).

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

210231001020 is a wasteful number, since it uses less digits than its factorization.

210231001020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 103135 (or 103133 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

Adding to 210231001020 its reverse (20100132012), we get a palindrome (230331133032).

The spelling of 210231001020 in words is "two hundred ten billion, two hundred thirty-one million, one thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 109 218 313 327 436 545 626 654 939 1090 1252 1308 1565 1635 1878 2180 3130 3270 3756 4695 6260 6540 9390 18780 34117 68234 102351 102701 136468 170585 204702 205402 308103 341170 409404 410804 511755 513505 616206 682340 1023510 1027010 1232412 1540515 2047020 2054020 3081030 6162060 11194409 22388818 32145413 33583227 44777636 55972045 64290826 67166454 96436239 111944090 128581652 134332908 160727065 167916135 192872478 223888180 321454130 335832270 385744956 482181195 642908260 671664540 964362390 1928724780 3503850017 7007700034 10511550051 14015400068 17519250085 21023100102 35038500170 42046200204 52557750255 70077000340 105115500510 210231001020