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13113311232 = 2143738113
BaseRepresentation
bin11000011011001110…
…10100000000000000
31020211220000020020210
430031213110000000
5203324001424412
610005115434120
7642650210040
oct141547240000
936756006223
1013113311232
11561a1388aa
12265b755940
13130c9c6278
148c5823720
1551b38583c
hex30d9d4000

13113311232 has 120 divisors (see below), whose sum is σ = 39964206016. Its totient is φ = 3746562048.

The previous prime is 13113311227. The next prime is 13113311249. The reversal of 13113311232 is 23211331131.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (21).

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

It is a junction number, because it is equal to n+sod(n) for n = 13113311199 and 13113311208.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 325008 + ... + 363120.

Almost surely, 213113311232 is an apocalyptic number.

13113311232 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 13113311232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19982103008).

13113311232 is an abundant number, since it is smaller than the sum of its proper divisors (26850894784).

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

13113311232 is an frugal number, since it uses more digits than its factorization.

13113311232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38151 (or 38125 counting only the distinct ones).

The product of its digits is 324, while the sum is 21.

Adding to 13113311232 its reverse (23211331131), we get a palindrome (36324642363).

The spelling of 13113311232 in words is "thirteen billion, one hundred thirteen million, three hundred eleven thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 128 168 192 224 256 336 384 448 512 672 768 896 1024 1344 1536 1792 2048 2688 3072 3584 4096 5376 6144 7168 8192 10752 12288 14336 16384 21504 24576 28672 38113 43008 49152 57344 76226 86016 114339 114688 152452 172032 228678 266791 304904 344064 457356 533582 609808 800373 914712 1067164 1219616 1600746 1829424 2134328 2439232 3201492 3658848 4268656 4878464 6402984 7317696 8537312 9756928 12805968 14635392 17074624 19513856 25611936 29270784 34149248 39027712 51223872 58541568 68298496 78055424 102447744 117083136 136596992 156110848 204895488 234166272 273193984 312221696 409790976 468332544 546387968 624443392 819581952 936665088 1092775936 1639163904 1873330176 2185551872 3278327808 4371103744 6556655616 13113311232