Search a number
-
+
130003140204 = 2232731101164767
BaseRepresentation
bin111100100010011001…
…0100111111001101100
3110102120010211210011200
41321010302213321230
54112221300441304
6135420030245500
712251412313320
oct1710462477154
9412503753150
10130003140204
1150152424443
1221241956890
13c34a733c42
146413a85980
1535ad283e39
hex1e44ca7e6c

130003140204 has 144 divisors (see below), whose sum is σ = 391520403456. Its totient is φ = 35589456000.

The previous prime is 130003140191. The next prime is 130003140209. The reversal of 130003140204 is 402041300031.

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

It is not an unprimeable number, because it can be changed into a prime (130003140209) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 706629 + ... + 871395.

Almost surely, 2130003140204 is an apocalyptic number.

130003140204 is a gapful number since it is divisible by the number (14) 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 130003140204, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (195760201728).

130003140204 is an abundant number, since it is smaller than the sum of its proper divisors (261517263252).

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

130003140204 is a wasteful number, since it uses less digits than its factorization.

130003140204 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 164916 (or 164911 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 130003140204 its reverse (402041300031), we get a palindrome (532044440235).

The spelling of 130003140204 in words is "one hundred thirty billion, three million, one hundred forty thousand, two hundred four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 31 36 42 62 63 84 93 101 124 126 186 202 217 252 279 303 372 404 434 558 606 651 707 868 909 1116 1212 1302 1414 1818 1953 2121 2604 2828 3131 3636 3906 4242 6262 6363 7812 8484 9393 12524 12726 18786 21917 25452 28179 37572 43834 56358 65751 87668 112716 131502 164767 197253 263004 329534 394506 494301 659068 789012 988602 1153369 1482903 1977204 2306738 2965806 3460107 4613476 5107777 5931612 6920214 10215554 10380321 13840428 15323331 16641467 20431108 20760642 30646662 33282934 35754439 41521284 45969993 49924401 61293324 66565868 71508878 91939986 99848802 107263317 116490269 143017756 149773203 183879972 199697604 214526634 232980538 299546406 321789951 349470807 429053268 465961076 515885477 599092812 643579902 698941614 1031770954 1048412421 1287159804 1397883228 1547656431 2063541908 2096824842 3095312862 3611198339 4193649684 4642969293 6190625724 7222396678 9285938586 10833595017 14444793356 18571877172 21667190034 32500785051 43334380068 65001570102 130003140204