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132010221011112 = 233467167166910909
BaseRepresentation
bin11110000001000000000110…
…010101001000000010101000
3122022102001110021111022010000
4132001000012111020002220
5114300323413034323422
61144432354110423000
736543265224315663
oct3601000625100250
9568361407438100
10132010221011112
1139076247296a34
121298056bb01a60
135887683539712
1424854862a26da
15103dd4ea3dcac
hex7810065480a8

132010221011112 has 320 divisors, whose sum is σ = 377777462832000. Its totient is φ = 43057315597824.

The previous prime is 132010221011051. The next prime is 132010221011233. The reversal of 132010221011112 is 211110122010231.

It is a happy number.

132010221011112 is a `hidden beast` number, since 1 + 320 + 1 + 0 + 221 + 0 + 11 + 112 = 666.

It is a super-4 number, since 4×1320102210111124 (a number of 58 digits) contains 4444 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 12101032314 + ... + 12101043222.

It is an arithmetic number, because the mean of its divisors is an integer number (1180554571350).

Almost surely, 2132010221011112 is an apocalyptic number.

132010221011112 is a gapful number since it is divisible by the number (12) 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 132010221011112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188888731416000).

132010221011112 is an abundant number, since it is smaller than the sum of its proper divisors (245767241820888).

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

132010221011112 is a wasteful number, since it uses less digits than its factorization.

132010221011112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12830 (or 12817 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 18.

Adding to 132010221011112 its reverse (211110122010231), we get a palindrome (343120343021343).

The spelling of 132010221011112 in words is "one hundred thirty-two trillion, ten billion, two hundred twenty-one million, eleven thousand, one hundred twelve".