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212134133420 = 225114324193047
BaseRepresentation
bin1100010110010000101…
…1011111111010101100
3202021112222210112022022
43011210023133322230
511433422314232140
6241241510405312
721216611245166
oct3054413377254
9667488715268
10212134133420
1181a69208240
1235143360838
13170091b8991
14a3a5857936
1557b888d0b5
hex31642dfeac

212134133420 has 96 divisors (see below), whose sum is σ = 499350652416. Its totient is φ = 75032294400.

The previous prime is 212134133411. The next prime is 212134133437. The reversal of 212134133420 is 24331431212.

It is a self number, because there is not a number n which added to its sum of digits gives 212134133420.

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, 2233337 + ... + 2326383.

It is an arithmetic number, because the mean of its divisors is an integer number (5201569296).

Almost surely, 2212134133420 is an apocalyptic number.

212134133420 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 212134133420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (249675326208).

212134133420 is an abundant number, since it is smaller than the sum of its proper divisors (287216518996).

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

212134133420 is a wasteful number, since it uses less digits than its factorization.

212134133420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93351 (or 93349 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 26.

Adding to 212134133420 its reverse (24331431212), we get a palindrome (236465564632).

The spelling of 212134133420 in words is "two hundred twelve billion, one hundred thirty-four million, one hundred thirty-three thousand, four hundred twenty".

Divisors: 1 2 4 5 10 11 20 22 43 44 55 86 110 172 215 220 241 430 473 482 860 946 964 1205 1892 2365 2410 2651 4730 4820 5302 9460 10363 10604 13255 20726 26510 41452 51815 53020 93047 103630 113993 186094 207260 227986 372188 455972 465235 569965 930470 1023517 1139930 1860940 2047034 2279860 4001021 4094068 5117585 8002042 10235170 16004084 20005105 20470340 22424327 40010210 44011231 44848654 80020420 88022462 89697308 112121635 176044924 220056155 224243270 246667597 440112310 448486540 493335194 880224620 964246061 986670388 1233337985 1928492122 2466675970 3856984244 4821230305 4933351940 9642460610 10606706671 19284921220 21213413342 42426826684 53033533355 106067066710 212134133420