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132212202330 = 23513593571679
BaseRepresentation
bin111101100100001110…
…1100001101101011010
3110122021002120202201110
41323020131201231122
54131232310433310
6140423142201150
712360225114555
oct1731035415532
9418232522643
10132212202330
115108638351a
12217597231b6
13c6102b92b0
14658320169c
15368c190d20
hex1ec8761b5a

132212202330 has 64 divisors (see below), whose sum is σ = 342294543360. Its totient is φ = 32489604096.

The previous prime is 132212202289. The next prime is 132212202359. The reversal of 132212202330 is 33202212231.

It is a happy number.

132212202330 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 132212202297 and 132212202306.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 54570 + ... + 517109.

It is an arithmetic number, because the mean of its divisors is an integer number (5348352240).

Almost surely, 2132212202330 is an apocalyptic number.

132212202330 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 132212202330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171147271680).

132212202330 is an abundant number, since it is smaller than the sum of its proper divisors (210082341030).

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

132212202330 is a wasteful number, since it uses less digits than its factorization.

132212202330 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 572295.

The product of its (nonzero) digits is 864, while the sum is 21.

Adding to 132212202330 its reverse (33202212231), we get a palindrome (165414414561).

Subtracting from 132212202330 its reverse (33202212231), we obtain a palindrome (99009990099).

The spelling of 132212202330 in words is "one hundred thirty-two billion, two hundred twelve million, two hundred two thousand, three hundred thirty".

Divisors: 1 2 3 5 6 10 13 15 26 30 39 65 78 130 195 390 593 1186 1779 2965 3558 5930 7709 8895 15418 17790 23127 38545 46254 77090 115635 231270 571679 1143358 1715037 2858395 3430074 5716790 7431827 8575185 14863654 17150370 22295481 37159135 44590962 74318270 111477405 222954810 339005647 678011294 1017016941 1695028235 2034033882 3390056470 4407073411 5085084705 8814146822 10170169410 13221220233 22035367055 26442440466 44070734110 66106101165 132212202330