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13433104100 = 22521399110427
BaseRepresentation
bin11001000001010110…
…01110011011100100
31021200011202101121002
430200223032123210
5210002333312400
610100542012432
7653612333543
oct144053163344
937604671532
1013433104100
115773700a29
12272a877118
131361034110
149160aa15a
155394a3ed5
hex320ace6e4

13433104100 has 72 divisors (see below), whose sum is σ = 31426821888. Its totient is φ = 4954435200.

The previous prime is 13433104099. The next prime is 13433104187. The reversal of 13433104100 is 140133431.

It is a super-2 number, since 2×134331041002 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1283087 + ... + 1293513.

Almost surely, 213433104100 is an apocalyptic number.

13433104100 is a gapful number since it is divisible by the number (10) 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 13433104100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15713410944).

13433104100 is an abundant number, since it is smaller than the sum of its proper divisors (17993717788).

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

13433104100 is a wasteful number, since it uses less digits than its factorization.

13433104100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11445 (or 11438 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 20.

Adding to 13433104100 its reverse (140133431), we get a palindrome (13573237531).

The spelling of 13433104100 in words is "thirteen billion, four hundred thirty-three million, one hundred four thousand, one hundred".

Divisors: 1 2 4 5 10 13 20 25 26 50 52 65 100 130 260 325 650 991 1300 1982 3964 4955 9910 10427 12883 19820 20854 24775 25766 41708 49550 51532 52135 64415 99100 104270 128830 135551 208540 257660 260675 271102 322075 521350 542204 644150 677755 1042700 1288300 1355510 2711020 3388775 6777550 10333157 13555100 20666314 41332628 51665785 103331570 134331041 206663140 258328925 268662082 516657850 537324164 671655205 1033315700 1343310410 2686620820 3358276025 6716552050 13433104100