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13332103168 = 2144189223
BaseRepresentation
bin11000110101010011…
…11100000000000000
31021102010201000100211
430122221330000000
5204301004300133
610042533123504
7651245002306
oct143251740000
937363630324
1013332103168
11572169648a
122700a89594
13134612cb57
149068d8276
155306a2bcd
hex31aa7c000

13332103168 has 120 divisors (see below), whose sum is σ = 27744474240. Its totient is φ = 6401556480.

The previous prime is 13332103093. The next prime is 13332103177. The reversal of 13332103168 is 86130123331.

It is a hoax number, since the sum of its digits (31) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 59785105 + ... + 59785327.

It is an arithmetic number, because the mean of its divisors is an integer number (231203952).

Almost surely, 213332103168 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13332103168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13872237120).

13332103168 is an abundant number, since it is smaller than the sum of its proper divisors (14412371072).

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

13332103168 is an frugal number, since it uses more digits than its factorization.

13332103168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 381 (or 355 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 31.

Adding to 13332103168 its reverse (86130123331), we get a palindrome (99462226499).

The spelling of 13332103168 in words is "thirteen billion, three hundred thirty-two million, one hundred three thousand, one hundred sixty-eight".

Divisors: 1 2 4 8 16 32 41 64 82 89 128 164 178 223 256 328 356 446 512 656 712 892 1024 1312 1424 1784 2048 2624 2848 3568 3649 4096 5248 5696 7136 7298 8192 9143 10496 11392 14272 14596 16384 18286 19847 20992 22784 28544 29192 36572 39694 41984 45568 57088 58384 73144 79388 83968 91136 114176 116768 146288 158776 167936 182272 228352 233536 292576 317552 335872 364544 456704 467072 585152 635104 671744 729088 813727 913408 934144 1170304 1270208 1458176 1627454 1826816 1868288 2340608 2540416 3254908 3653632 3736576 4681216 5080832 6509816 7473152 9362432 10161664 13019632 14946304 18724864 20323328 26039264 29892608 37449728 40646656 52078528 59785216 74899456 81293312 104157056 149798912 162586624 208314112 325173248 416628224 833256448 1666512896 3333025792 6666051584 13332103168