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12332133330 = 235112310116087
BaseRepresentation
bin10110111110000110…
…10110101111010010
31011211110002021121220
423133003112233102
5200224011231310
65355412225510
7614413255326
oct133703265722
934743067556
1012332133330
115259193330
12248200b296
131216c0361a
1484db97986
154c29ca670
hex2df0d6bd2

12332133330 has 128 divisors (see below), whose sum is σ = 34027278336. Its totient is φ = 2831136000.

The previous prime is 12332133269. The next prime is 12332133361. The reversal of 12332133330 is 3333123321.

It is a self number, because there is not a number n which added to its sum of digits gives 12332133330.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 758547 + ... + 774633.

It is an arithmetic number, because the mean of its divisors is an integer number (265838112).

Almost surely, 212332133330 is an apocalyptic number.

12332133330 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 12332133330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17013639168).

12332133330 is an abundant number, since it is smaller than the sum of its proper divisors (21695145006).

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

12332133330 is a wasteful number, since it uses less digits than its factorization.

12332133330 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16232.

The product of its (nonzero) digits is 2916, while the sum is 24.

Adding to 12332133330 its reverse (3333123321), we get a palindrome (15665256651).

It can be divided in two parts, 123321 and 33330, that added together give a palindrome (156651).

The spelling of 12332133330 in words is "twelve billion, three hundred thirty-two million, one hundred thirty-three thousand, three hundred thirty".

Divisors: 1 2 3 5 6 10 11 15 22 23 30 33 46 55 66 69 101 110 115 138 165 202 230 253 303 330 345 505 506 606 690 759 1010 1111 1265 1515 1518 2222 2323 2530 3030 3333 3795 4646 5555 6666 6969 7590 11110 11615 13938 16087 16665 23230 25553 32174 33330 34845 48261 51106 69690 76659 80435 96522 127765 153318 160870 176957 241305 255530 353914 370001 383295 482610 530871 740002 766590 884785 1061742 1110003 1624787 1769570 1850005 2220006 2654355 3249574 3700010 4070011 4874361 5308710 5550015 8123935 8140022 9748722 11100030 12210033 16247870 17872657 20350055 24371805 24420066 35745314 37370101 40700110 48743610 53617971 61050165 74740202 89363285 107235942 112110303 122100330 178726570 186850505 224220606 268089855 373701010 411071111 536179710 560551515 822142222 1121103030 1233213333 2055355555 2466426666 4110711110 6166066665 12332133330