Search a number
-
+
130197668724 = 223279227201673
BaseRepresentation
bin111100101000001100…
…0101100001101110100
3110110001200212212010200
41321100120230031310
54113121100344344
6135451215520500
712256263632004
oct1712030541564
9413050785120
10130197668724
115024220a612
1221296b29130
13c37bb23986
146431842004
1535c03ac069
hex1e5062c374

130197668724 has 72 divisors (see below), whose sum is σ = 334746572160. Its totient is φ = 42660888192.

The previous prime is 130197668719. The next prime is 130197668737. The reversal of 130197668724 is 427866791031.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 544752 + ... + 746424.

Almost surely, 2130197668724 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 130197668724, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167373286080).

130197668724 is an abundant number, since it is smaller than the sum of its proper divisors (204548903436).

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

130197668724 is a wasteful number, since it uses less digits than its factorization.

130197668724 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 201989 (or 201984 counting only the distinct ones).

The product of its (nonzero) digits is 3048192, while the sum is 54.

The spelling of 130197668724 in words is "one hundred thirty billion, one hundred ninety-seven million, six hundred sixty-eight thousand, seven hundred twenty-four".

Divisors: 1 2 3 4 6 9 12 18 36 79 158 227 237 316 454 474 681 711 908 948 1362 1422 2043 2724 2844 4086 8172 17933 35866 53799 71732 107598 161397 201673 215196 322794 403346 605019 645588 806692 1210038 1815057 2420076 3630114 7260228 15932167 31864334 45779771 47796501 63728668 91559542 95593002 137339313 143389503 183119084 191186004 274678626 286779006 412017939 549357252 573558012 824035878 1648071756 3616601909 7233203818 10849805727 14466407636 21699611454 32549417181 43399222908 65098834362 130197668724