Search a number
-
+
15104200100 = 22521121965699
BaseRepresentation
bin11100001000100011…
…11100110110100100
31102222122012212100112
432010101330312210
5221413133400400
610534435232152
71043203403543
oct160421746644
942878185315
1015104200100
116450a22100
122b16448658
131569300512
14a33dca15a
155d6048835
hex38447cda4

15104200100 has 108 divisors (see below), whose sum is σ = 37923354000. Its totient is φ = 5203281600.

The previous prime is 15104200079. The next prime is 15104200109. The reversal of 15104200100 is 100240151.

It is not an unprimeable number, because it can be changed into a prime (15104200109) 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, 197051 + ... + 262749.

Almost surely, 215104200100 is an apocalyptic number.

15104200100 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 15104200100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18961677000).

15104200100 is an abundant number, since it is smaller than the sum of its proper divisors (22819153900).

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

15104200100 is a wasteful number, since it uses less digits than its factorization.

15104200100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 65754 (or 65736 counting only the distinct ones).

The product of its (nonzero) digits is 40, while the sum is 14.

Adding to 15104200100 its reverse (100240151), we get a palindrome (15204440251).

The spelling of 15104200100 in words is "fifteen billion, one hundred four million, two hundred thousand, one hundred".

Divisors: 1 2 4 5 10 11 19 20 22 25 38 44 50 55 76 95 100 110 121 190 209 220 242 275 380 418 475 484 550 605 836 950 1045 1100 1210 1900 2090 2299 2420 3025 4180 4598 5225 6050 9196 10450 11495 12100 20900 22990 45980 57475 65699 114950 131398 229900 262796 328495 656990 722689 1248281 1313980 1445378 1642475 2496562 2890756 3284950 3613445 4993124 6241405 6569900 7226890 7949579 12482810 13731091 14453780 15899158 18067225 24965620 27462182 31207025 31798316 36134450 39747895 54924364 62414050 68655455 72268900 79495790 124828100 137310910 151042001 158991580 198739475 274621820 302084002 343277275 397478950 604168004 686554550 755210005 794957900 1373109100 1510420010 3020840020 3776050025 7552100050 15104200100