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132210113220 = 223659067909
BaseRepresentation
bin111101100100001010…
…1100011101011000100
3110122020221122122000000
41323020111203223010
54131231242110340
6140423025321300
712360201264063
oct1731025435304
9418227578000
10132210113220
1151085186989
1221758a96230
13c60ca37433
146582c1a1da
15368bdcbd30
hex1ec8563ac4

132210113220 has 84 divisors (see below), whose sum is σ = 416271476460. Its totient is φ = 35256026304.

The previous prime is 132210113213. The next prime is 132210113227. The reversal of 132210113220 is 22311012231.

132210113220 is a `hidden beast` number, since 1 + 322 + 10 + 11 + 322 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (132210113213) and next prime (132210113227).

It can be written as a sum of positive squares in 2 ways, for example, as 86390142084 + 45819971136 = 293922^2 + 214056^2 .

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 = 132210113193 and 132210113202.

It is not an unprimeable number, because it can be changed into a prime (132210113227) by changing a digit.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 4519375 + ... + 4548534.

It is an arithmetic number, because the mean of its divisors is an integer number (4955612815).

Almost surely, 2132210113220 is an apocalyptic number.

132210113220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

132210113220 is an abundant number, since it is smaller than the sum of its proper divisors (284061363240).

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

132210113220 is an equidigital number, since it uses as much as digits as its factorization.

132210113220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9067936 (or 9067919 counting only the distinct ones).

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

Adding to 132210113220 its reverse (22311012231), we get a palindrome (154521125451).

The spelling of 132210113220 in words is "one hundred thirty-two billion, two hundred ten million, one hundred thirteen thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 81 90 108 135 162 180 243 270 324 405 486 540 729 810 972 1215 1458 1620 2430 2916 3645 4860 7290 14580 9067909 18135818 27203727 36271636 45339545 54407454 81611181 90679090 108814908 136018635 163222362 181358180 244833543 272037270 326444724 408055905 489667086 544074540 734500629 816111810 979334172 1224167715 1469001258 1632223620 2203501887 2448335430 2938002516 3672503145 4407003774 4896670860 6610505661 7345006290 8814007548 11017509435 13221011322 14690012580 22035018870 26442022644 33052528305 44070037740 66105056610 132210113220