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130213332320 = 25519347123439
BaseRepresentation
bin111100101000101010…
…0011100010101100000
3110110002210100122112212
41321101110130111200
54113134103113240
6135452535341252
712256544030321
oct1712124342540
9413083318485
10130213332320
1150250038935
12212a0221828
13c382149386
14643395c448
1535c1953165
hex1e5151c560

130213332320 has 96 divisors (see below), whose sum is σ = 324755827200. Its totient is φ = 49201399296.

The previous prime is 130213332289. The next prime is 130213332341. The reversal of 130213332320 is 23233312031.

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, 993161 + ... + 1116599.

It is an arithmetic number, because the mean of its divisors is an integer number (3382873200).

Almost surely, 2130213332320 is an apocalyptic number.

130213332320 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 130213332320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162377913600).

130213332320 is an abundant number, since it is smaller than the sum of its proper divisors (194542494880).

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

130213332320 is a wasteful number, since it uses less digits than its factorization.

130213332320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 123820 (or 123812 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 23.

Adding to 130213332320 its reverse (23233312031), we get a palindrome (153446644351).

The spelling of 130213332320 in words is "one hundred thirty billion, two hundred thirteen million, three hundred thirty-two thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 19 20 32 38 40 76 80 95 152 160 190 304 347 380 608 694 760 1388 1520 1735 2776 3040 3470 5552 6593 6940 11104 13186 13880 26372 27760 32965 52744 55520 65930 105488 123439 131860 210976 246878 263720 493756 527440 617195 987512 1054880 1234390 1975024 2345341 2468780 3950048 4690682 4937560 9381364 9875120 11726705 18762728 19750240 23453410 37525456 42833333 46906820 75050912 85666666 93813640 171333332 187627280 214166665 342666664 375254560 428333330 685333328 813833327 856666660 1370666656 1627666654 1713333320 3255333308 3426666640 4069166635 6510666616 6853333280 8138333270 13021333232 16276666540 26042666464 32553333080 65106666160 130213332320