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132211111120 = 24511170987911
BaseRepresentation
bin111101100100001100…
…1010111010011010000
3110122021000112022212021
41323020121113103100
54131232021023440
6140423102541224
712360212621314
oct1731031272320
9418230468767
10132211111120
11510857a86a0
1221759297814
13c60ccc66ca
146582dd9b44
15368c02784a
hex1ec86574d0

132211111120 has 80 divisors (see below), whose sum is σ = 335535488640. Its totient is φ = 48048089600.

The previous prime is 132211111063. The next prime is 132211111133. The reversal of 132211111120 is 21111112231.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 132211111094 and 132211111103.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1459965 + ... + 1547875.

It is an arithmetic number, because the mean of its divisors is an integer number (4194193608).

Almost surely, 2132211111120 is an apocalyptic number.

132211111120 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 132211111120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167767744320).

132211111120 is an abundant number, since it is smaller than the sum of its proper divisors (203324377520).

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

132211111120 is a wasteful number, since it uses less digits than its factorization.

132211111120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 89644 (or 89638 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 16.

Adding to 132211111120 its reverse (21111112231), we get a palindrome (153322223351).

It can be divided in two parts, 13221111 and 1120, that added together give a palindrome (13222231).

The spelling of 132211111120 in words is "one hundred thirty-two billion, two hundred eleven million, one hundred eleven thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 11 16 20 22 40 44 55 80 88 110 176 220 440 880 1709 3418 6836 8545 13672 17090 18799 27344 34180 37598 68360 75196 87911 93995 136720 150392 175822 187990 300784 351644 375980 439555 703288 751960 879110 967021 1406576 1503920 1758220 1934042 3516440 3868084 4835105 7032880 7736168 9670210 15472336 19340420 38680840 77361680 150239899 300479798 600959596 751199495 1201919192 1502398990 1652638889 2403838384 3004797980 3305277778 6009595960 6610555556 8263194445 12019191920 13221111112 16526388890 26442222224 33052777780 66105555560 132211111120