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13212233232 = 24311317111369
BaseRepresentation
bin11000100111000001…
…01010111000010000
31021002210010222201120
430103200222320100
5204024312430412
610023012002240
7645261062262
oct142340527020
937083128646
1013212233232
11566aa63420
122688900380
1313273501b3
148d4a13b32
15524dc5b8c
hex31382ae10

13212233232 has 160 divisors (see below), whose sum is σ = 38980362240. Its totient is φ = 3819648000.

The previous prime is 13212233197. The next prime is 13212233257. The reversal of 13212233232 is 23233221231.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1156444 + ... + 1167812.

It is an arithmetic number, because the mean of its divisors is an integer number (243627264).

Almost surely, 213212233232 is an apocalyptic number.

13212233232 is a gapful number since it is divisible by the number (12) 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 13212233232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19490181120).

13212233232 is an abundant number, since it is smaller than the sum of its proper divisors (25768129008).

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

13212233232 is a wasteful number, since it uses less digits than its factorization.

13212233232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11493 (or 11487 counting only the distinct ones).

The product of its digits is 2592, while the sum is 24.

Adding to 13212233232 its reverse (23233221231), we get a palindrome (36445454463).

The spelling of 13212233232 in words is "thirteen billion, two hundred twelve million, two hundred thirty-three thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 31 33 44 48 62 66 71 88 93 124 132 142 176 186 213 248 264 284 341 372 426 496 528 568 682 744 781 852 1023 1136 1364 1488 1562 1704 2046 2201 2343 2728 3124 3408 4092 4402 4686 5456 6248 6603 8184 8804 9372 11369 12496 13206 16368 17608 18744 22738 24211 26412 34107 35216 37488 45476 48422 52824 68214 72633 90952 96844 105648 125059 136428 145266 181904 193688 250118 272856 290532 352439 375177 387376 500236 545712 581064 704878 750354 807199 1000472 1057317 1162128 1409756 1500708 1614398 2000944 2114634 2421597 2819512 3001416 3228796 3876829 4229268 4843194 5639024 6002832 6457592 7753658 8458536 8879189 9686388 11630487 12915184 15507316 16917072 17758378 19372776 23260974 25023169 26637567 31014632 35516756 38745552 46521948 50046338 53275134 62029264 71033512 75069507 93043896 100092676 106550268 142067024 150139014 186087792 200185352 213100536 275254859 300278028 400370704 426201072 550509718 600556056 825764577 1101019436 1201112112 1651529154 2202038872 3303058308 4404077744 6606116616 13212233232