Search a number
-
+
130320122320 = 24547285112157
BaseRepresentation
bin111100101011110101…
…1110100000111010000
3110110101020022010220001
41321113223310013100
54113343422403240
6135511312255344
712262311522403
oct1712753640720
9413336263801
10130320122320
11502a5347833
122130bb41554
13c39b2c961b
146443bd9d3a
1535caee989a
hex1e57af41d0

130320122320 has 80 divisors (see below), whose sum is σ = 309574971648. Its totient is φ = 50996851200.

The previous prime is 130320122311. The next prime is 130320122369. The reversal of 130320122320 is 23221023031.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10713682 + ... + 10725838.

Almost surely, 2130320122320 is an apocalyptic number.

130320122320 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 130320122320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154787485824).

130320122320 is an abundant number, since it is smaller than the sum of its proper divisors (179254849328).

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

130320122320 is a wasteful number, since it uses less digits than its factorization.

130320122320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15068 (or 15062 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 19.

Adding to 130320122320 its reverse (23221023031), we get a palindrome (153541145351).

The spelling of 130320122320 in words is "one hundred thirty billion, three hundred twenty million, one hundred twenty-two thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 47 80 94 188 235 376 470 752 940 1880 2851 3760 5702 11404 12157 14255 22808 24314 28510 45616 48628 57020 60785 97256 114040 121570 133997 194512 228080 243140 267994 486280 535988 571379 669985 972560 1071976 1142758 1339970 2143952 2285516 2679940 2856895 4571032 5359880 5713790 9142064 10719760 11427580 22855160 34659607 45710320 69319214 138638428 173298035 277276856 346596070 554553712 693192140 1386384280 1629001529 2772768560 3258003058 6516006116 8145007645 13032012232 16290015290 26064024464 32580030580 65160061160 130320122320