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132212131020 = 223259733122877
BaseRepresentation
bin111101100100001110…
…1010000010011001100
3110122021002110010220100
41323020131100103030
54131232301143040
6140423140451100
712360224366634
oct1731035202314
9418232403810
10132212131020
1151086334992
12217596a9a90
13c6102929b8
1465831c36c4
15368c179b30
hex1ec87504cc

132212131020 has 144 divisors (see below), whose sum is σ = 406419799968. Its totient is φ = 34786160640.

The previous prime is 132212131013. The next prime is 132212131027. The reversal of 132212131020 is 20131212231.

132212131020 is a `hidden beast` number, since 1 + 322 + 12 + 1 + 310 + 20 = 666.

It is an interprime number because it is at equal distance from previous prime (132212131013) and next prime (132212131027).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 132212130984 and 132212131002.

It is not an unprimeable number, because it can be changed into a prime (132212131027) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 5767822 + ... + 5790698.

It is an arithmetic number, because the mean of its divisors is an integer number (2822359722).

Almost surely, 2132212131020 is an apocalyptic number.

132212131020 is a gapful number since it is divisible by the number (10) 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 132212131020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (203209899984).

132212131020 is an abundant number, since it is smaller than the sum of its proper divisors (274207668948).

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

132212131020 is a wasteful number, since it uses less digits than its factorization.

132212131020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23320 (or 23315 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 132212131020 its reverse (20131212231), we get a palindrome (152343343251).

The spelling of 132212131020 in words is "one hundred thirty-two billion, two hundred twelve million, one hundred thirty-one thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 97 180 194 291 331 388 485 582 662 873 970 993 1164 1324 1455 1655 1746 1940 1986 2910 2979 3310 3492 3972 4365 4965 5820 5958 6620 8730 9930 11916 14895 17460 19860 22877 29790 32107 45754 59580 64214 68631 91508 96321 114385 128428 137262 160535 192642 205893 228770 274524 288963 321070 343155 385284 411786 457540 481605 577926 642140 686310 823572 963210 1029465 1155852 1372620 1444815 1926420 2058930 2219069 2889630 4117860 4438138 5779260 6657207 7572287 8876276 11095345 13314414 15144574 19971621 22190690 22716861 26628828 30289148 33286035 37861435 39943242 44381380 45433722 66572070 68150583 75722870 79886484 90867444 99858105 113584305 133144140 136301166 151445740 199716210 227168610 272602332 340752915 399432420 454337220 681505830 734511839 1363011660 1469023678 2203535517 2938047356 3672559195 4407071034 6610606551 7345118390 8814142068 11017677585 13221213102 14690236780 22035355170 26442426204 33053032755 44070710340 66106065510 132212131020