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13041314100 = 223252103140683
BaseRepresentation
bin11000010010101001…
…01010100100110100
31020122212112101202100
430021110222210310
5203202034022400
65554024342100
7641114224623
oct141124524464
936585471670
1013041314100
115592533341
12263b614930
1312cab08709
148ba0416ba
15514db3100
hex30952a934

13041314100 has 108 divisors (see below), whose sum is σ = 41274434656. Its totient is φ = 3443895360.

The previous prime is 13041314087. The next prime is 13041314101. The reversal of 13041314100 is 141314031.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13041314101) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 22359 + ... + 163041.

Almost surely, 213041314100 is an apocalyptic number.

13041314100 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 13041314100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20637217328).

13041314100 is an abundant number, since it is smaller than the sum of its proper divisors (28233120556).

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

13041314100 is a wasteful number, since it uses less digits than its factorization.

13041314100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 140806 (or 140796 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 13041314100 its reverse (141314031), we get a palindrome (13182628131).

The spelling of 13041314100 in words is "thirteen billion, forty-one million, three hundred fourteen thousand, one hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 30 36 45 50 60 75 90 100 103 150 180 206 225 300 309 412 450 515 618 900 927 1030 1236 1545 1854 2060 2575 3090 3708 4635 5150 6180 7725 9270 10300 15450 18540 23175 30900 46350 92700 140683 281366 422049 562732 703415 844098 1266147 1406830 1688196 2110245 2532294 2813660 3517075 4220490 5064588 6330735 7034150 8440980 10551225 12661470 14068300 14490349 21102450 25322940 28980698 31653675 42204900 43471047 57961396 63307350 72451745 86942094 126614700 130413141 144903490 173884188 217355235 260826282 289806980 362258725 434710470 521652564 652065705 724517450 869420940 1086776175 1304131410 1449034900 2173552350 2608262820 3260328525 4347104700 6520657050 13041314100