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10100134241300 = 22521922923213363
BaseRepresentation
bin1001001011111001111011…
…1010011110010000010100
31022202120012201110202112002
42102332132322132100110
52310440033331210200
633251534305214432
72061465512346665
oct222763672362024
938676181422462
1010100134241300
113244496518644
121171582631418
1358359170a08c
1426cbc5d3536c
15127adad47bd5
hex92f9ee9e414

10100134241300 has 72 divisors (see below), whose sum is σ = 23171579944800. Its totient is φ = 3810705505920.

The previous prime is 10100134241273. The next prime is 10100134241311. The reversal of 10100134241300 is 314243100101.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11171582 + ... + 12041781.

Almost surely, 210100134241300 is an apocalyptic number.

10100134241300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10100134241300 is an abundant number, since it is smaller than the sum of its proper divisors (13071445703500).

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

10100134241300 is a wasteful number, since it uses less digits than its factorization.

10100134241300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23213625 (or 23213618 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

Adding to 10100134241300 its reverse (314243100101), we get a palindrome (10414377341401).

The spelling of 10100134241300 in words is "ten trillion, one hundred billion, one hundred thirty-four million, two hundred forty-one thousand, three hundred".

Divisors: 1 2 4 5 10 19 20 25 38 50 76 95 100 190 229 380 458 475 916 950 1145 1900 2290 4351 4580 5725 8702 11450 17404 21755 22900 43510 87020 108775 217550 435100 23213363 46426726 92853452 116066815 232133630 441053897 464267260 580334075 882107794 1160668150 1764215588 2205269485 2321336300 4410538970 5315860127 8821077940 10631720254 11026347425 21263440508 22052694850 26579300635 44105389700 53158601270 101001342413 106317202540 132896503175 202002684826 265793006350 404005369652 505006712065 531586012700 1010013424130 2020026848260 2525033560325 5050067120650 10100134241300