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13413200100 = 22352192353193
BaseRepresentation
bin11000111110111110…
…10011000011100100
31021121210022011102220
430133133103003210
5204432234400400
610054551232340
7653251214436
oct143737230344
937553264386
1013413200100
115763446843
1227240786b0
131359b855c1
149135a8656
155378717a0
hex31f7d30e4

13413200100 has 72 divisors (see below), whose sum is σ = 40851447840. Its totient is φ = 3388596480.

The previous prime is 13413200093. The next prime is 13413200149. The reversal of 13413200100 is 100231431.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 13413200100.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1170897 + ... + 1182296.

It is an arithmetic number, because the mean of its divisors is an integer number (567381220).

Almost surely, 213413200100 is an apocalyptic number.

13413200100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13413200100 is an abundant number, since it is smaller than the sum of its proper divisors (27438247740).

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

13413200100 is a wasteful number, since it uses less digits than its factorization.

13413200100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2353229 (or 2353222 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 13413200100 its reverse (100231431), we get a palindrome (13513431531).

The spelling of 13413200100 in words is "thirteen billion, four hundred thirteen million, two hundred thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 19 20 25 30 38 50 57 60 75 76 95 100 114 150 190 228 285 300 380 475 570 950 1140 1425 1900 2850 5700 2353193 4706386 7059579 9412772 11765965 14119158 23531930 28238316 35297895 44710667 47063860 58829825 70595790 89421334 117659650 134132001 141191580 176489475 178842668 223553335 235319300 268264002 352978950 447106670 536528004 670660005 705957900 894213340 1117766675 1341320010 2235533350 2682640020 3353300025 4471066700 6706600050 13413200100