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13230165432 = 23311232419041
BaseRepresentation
bin11000101001001010…
…00100110110111000
31021011000220001002010
430110211010312320
5204043410243212
610024452205520
7645566356611
oct142445046670
937130801063
1013230165432
11567a0a1120
1226929098a0
13132ac8b373
148d7160c08
1552676903c
hex314944db8

13230165432 has 128 divisors (see below), whose sum is σ = 37811473920. Its totient is φ = 3818496000.

The previous prime is 13230165427. The next prime is 13230165463. The reversal of 13230165432 is 23456103231.

It is a self number, because there is not a number n which added to its sum of digits gives 13230165432.

It is a congruent number.

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, 1458832 + ... + 1467872.

It is an arithmetic number, because the mean of its divisors is an integer number (295402140).

Almost surely, 213230165432 is an apocalyptic number.

13230165432 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 13230165432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18905736960).

13230165432 is an abundant number, since it is smaller than the sum of its proper divisors (24581308488).

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

13230165432 is a wasteful number, since it uses less digits than its factorization.

13230165432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9325 (or 9321 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 30.

Adding to 13230165432 its reverse (23456103231), we get a palindrome (36686268663).

The spelling of 13230165432 in words is "thirteen billion, two hundred thirty million, one hundred sixty-five thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 11 12 22 23 24 33 44 46 66 69 88 92 132 138 184 241 253 264 276 482 506 552 723 759 964 1012 1446 1518 1928 2024 2651 2892 3036 5302 5543 5784 6072 7953 9041 10604 11086 15906 16629 18082 21208 22172 27123 31812 33258 36164 44344 54246 60973 63624 66516 72328 99451 108492 121946 133032 182919 198902 207943 216984 243892 298353 365838 397804 415886 487784 596706 623829 731676 795608 831772 1193412 1247658 1463352 1663544 2178881 2287373 2386824 2495316 4357762 4574746 4990632 6536643 6862119 8715524 9149492 13073286 13724238 17431048 18298984 23967691 26146572 27448476 47935382 50114263 52293144 54896952 71903073 95870764 100228526 143806146 150342789 191741528 200457052 287612292 300685578 400914104 551256893 575224584 601371156 1102513786 1202742312 1653770679 2205027572 3307541358 4410055144 6615082716 13230165432