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12330535350 = 2352719759611
BaseRepresentation
bin10110111101111010…
…10000100110110110
31011211100002002121110
423132331100212312
5200223104112400
65355314055450
7614363551440
oct133675204666
934740062543
1012330535350
1152582a1791
12248157a586
131216794183
1484d89d490
154c27b1e50
hex2def509b6

12330535350 has 96 divisors (see below), whose sum is σ = 35126251776. Its totient is φ = 2804054400.

The previous prime is 12330535309. The next prime is 12330535367. The reversal of 12330535350 is 5353503321.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 177045 + ... + 236655.

It is an arithmetic number, because the mean of its divisors is an integer number (365898456).

Almost surely, 212330535350 is an apocalyptic number.

12330535350 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 12330535350, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17563125888).

12330535350 is an abundant number, since it is smaller than the sum of its proper divisors (22795716426).

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

12330535350 is a wasteful number, since it uses less digits than its factorization.

12330535350 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 59830 (or 59825 counting only the distinct ones).

The product of its (nonzero) digits is 20250, while the sum is 30.

The spelling of 12330535350 in words is "twelve billion, three hundred thirty million, five hundred thirty-five thousand, three hundred fifty".

Divisors: 1 2 3 5 6 7 10 14 15 21 25 30 35 42 50 70 75 105 150 175 197 210 350 394 525 591 985 1050 1182 1379 1970 2758 2955 4137 4925 5910 6895 8274 9850 13790 14775 20685 29550 34475 41370 59611 68950 103425 119222 178833 206850 298055 357666 417277 596110 834554 894165 1251831 1490275 1788330 2086385 2503662 2980550 4172770 4470825 6259155 8941650 10431925 11743367 12518310 20863850 23486734 31295775 35230101 58716835 62591550 70460202 82203569 117433670 164407138 176150505 246610707 293584175 352301010 411017845 493221414 587168350 822035690 880752525 1233053535 1761505050 2055089225 2466107070 4110178450 6165267675 12330535350