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210133000220 = 2251113337218021
BaseRepresentation
bin1100001110110011100…
…1110010000000011100
3202002101112022102121212
43003230321302000130
511420323022001340
6240311143243552
721116202013463
oct3035471620034
9662345272555
10210133000220
1181131667250
12348851495b8
1316a7a7358b0
14a255b859da
1556ecd54a65
hex30ece7201c

210133000220 has 96 divisors (see below), whose sum is σ = 519966772416. Its totient is φ = 70324531200.

The previous prime is 210133000211. The next prime is 210133000241. The reversal of 210133000220 is 22000331012.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 210133000195 and 210133000204.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 854810 + ... + 1072830.

It is an arithmetic number, because the mean of its divisors is an integer number (5416320546).

Almost surely, 2210133000220 is an apocalyptic number.

210133000220 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 210133000220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (259983386208).

210133000220 is an abundant number, since it is smaller than the sum of its proper divisors (309833772196).

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

210133000220 is a wasteful number, since it uses less digits than its factorization.

210133000220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 218391 (or 218389 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 14.

Adding to 210133000220 its reverse (22000331012), we get a palindrome (232133331232).

The spelling of 210133000220 in words is "two hundred ten billion, one hundred thirty-three million, two hundred twenty", and thus it is an aban number.

Divisors: 1 2 4 5 10 11 13 20 22 26 44 52 55 65 110 130 143 220 260 286 337 572 674 715 1348 1430 1685 2860 3370 3707 4381 6740 7414 8762 14828 17524 18535 21905 37070 43810 48191 74140 87620 96382 192764 218021 240955 436042 481910 872084 963820 1090105 2180210 2398231 2834273 4360420 4796462 5668546 9592924 11337092 11991155 14171365 23982310 28342730 31177003 47964620 56685460 62354006 73473077 124708012 146946154 155885015 293892308 311770030 367365385 623540060 734730770 808203847 955150001 1469461540 1616407694 1910300002 3232815388 3820600004 4041019235 4775750005 8082038470 9551500010 10506650011 16164076940 19103000020 21013300022 42026600044 52533250055 105066500110 210133000220