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132121211024 = 24112713897121
BaseRepresentation
bin111101100001100001…
…0011011000010010000
3110122000202100221010002
41323003002123002100
54131041012223044
6140410132025132
712355041523025
oct1730302330220
9418022327102
10132121211024
1151039a853a0
12217331621a8
13c5c74ab09a
1465750b754c
1536841ba74e
hex1ec309b090

132121211024 has 80 divisors (see below), whose sum is σ = 281046654720. Its totient is φ = 59671296000.

The previous prime is 132121210987. The next prime is 132121211071. The reversal of 132121211024 is 420112121231.

It is a junction number, because it is equal to n+sod(n) for n = 132121210987 and 132121211005.

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, 18550184 + ... + 18557304.

It is an arithmetic number, because the mean of its divisors is an integer number (3513083184).

Almost surely, 2132121211024 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 132121211024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140523327360).

132121211024 is an abundant number, since it is smaller than the sum of its proper divisors (148925443696).

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

132121211024 is a wasteful number, since it uses less digits than its factorization.

132121211024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7800 (or 7794 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 20.

Adding to 132121211024 its reverse (420112121231), we get a palindrome (552233332255).

The spelling of 132121211024 in words is "one hundred thirty-two billion, one hundred twenty-one million, two hundred eleven thousand, twenty-four".

Divisors: 1 2 4 8 11 16 22 44 88 176 271 389 542 778 1084 1556 2168 2981 3112 4279 4336 5962 6224 7121 8558 11924 14242 17116 23848 28484 34232 47696 56968 68464 78331 105419 113936 156662 210838 313324 421676 626648 843352 1159609 1253296 1686704 1929791 2319218 2770069 3859582 4638436 5540138 7719164 9276872 11080276 15438328 18553744 21227701 22160552 30470759 30876656 42455402 44321104 60941518 84910804 121883036 169821608 243766072 339643216 487532144 750688699 1501377398 3002754796 6005509592 8257575689 12011019184 16515151378 33030302756 66060605512 132121211024