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130213222300 = 22527296727481
BaseRepresentation
bin111100101000101010…
…0000001011110011100
3110110002210011001122001
41321101110001132130
54113134041103200
6135452533132044
712256543061500
oct1712124013634
9413083131561
10130213222300
115024aa73207
12212a018a024
13c38210b285
146433930300
1535c193076a
hex1e5150179c

130213222300 has 108 divisors (see below), whose sum is σ = 329047262544. Its totient is φ = 44596742400.

The previous prime is 130213222259. The next prime is 130213222309. The reversal of 130213222300 is 3222312031.

It is a super-3 number, since 3×1302132223003 (a number of 34 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130213222309) by changing a digit.

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 35 ways as a sum of consecutive naturals, for example, 4724560 + ... + 4752040.

Almost surely, 2130213222300 is an apocalyptic number.

130213222300 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 130213222300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164523631272).

130213222300 is an abundant number, since it is smaller than the sum of its proper divisors (198834040244).

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

130213222300 is a wasteful number, since it uses less digits than its factorization.

130213222300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28476 (or 28462 counting only the distinct ones).

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

Adding to 130213222300 its reverse (3222312031), we get a palindrome (133435534331).

The spelling of 130213222300 in words is "one hundred thirty billion, two hundred thirteen million, two hundred twenty-two thousand, three hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 49 50 70 98 100 140 175 196 245 350 490 700 967 980 1225 1934 2450 3868 4835 4900 6769 9670 13538 19340 24175 27076 27481 33845 47383 48350 54962 67690 94766 96700 109924 135380 137405 169225 189532 192367 236915 274810 338450 384734 473830 549620 676900 687025 769468 947660 961835 1184575 1346569 1374050 1923670 2369150 2693138 2748100 3847340 4738300 4809175 5386276 6732845 9618350 13465690 19236700 26574127 26931380 33664225 53148254 67328450 106296508 132870635 134656900 186018889 265741270 372037778 531482540 664353175 744075556 930094445 1302132223 1328706350 1860188890 2604264446 2657412700 3720377780 4650472225 5208528892 6510661115 9300944450 13021322230 18601888900 26042644460 32553305575 65106611150 130213222300