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130213222000 = 2453831077331
BaseRepresentation
bin111100101000101010…
…0000001011001110000
3110110002210011001012221
41321101110001121300
54113134041101000
6135452533130424
712256543060561
oct1712124013160
9413083131187
10130213222000
115024aa72a64
12212a0189a14
13c38210b0b4
146433930168
1535c193061a
hex1e51501670

130213222000 has 160 divisors (see below), whose sum is σ = 321670911744. Its totient is φ = 50969888000.

The previous prime is 130213221997. The next prime is 130213222099. The reversal of 130213222000 is 222312031.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 17758335 + ... + 17765665.

Almost surely, 2130213222000 is an apocalyptic number.

130213222000 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 130213222000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160835455872).

130213222000 is an abundant number, since it is smaller than the sum of its proper divisors (191457689744).

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

130213222000 is a wasteful number, since it uses less digits than its factorization.

130213222000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7544 (or 7528 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

Adding to 130213222000 its reverse (222312031), we get a palindrome (130435534031).

The spelling of 130213222000 in words is "one hundred thirty billion, two hundred thirteen million, two hundred twenty-two thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 83 100 107 125 166 200 214 250 332 400 415 428 500 535 664 830 856 1000 1070 1328 1660 1712 2000 2075 2140 2675 3320 4150 4280 5350 6640 7331 8300 8560 8881 10375 10700 13375 14662 16600 17762 20750 21400 26750 29324 33200 35524 36655 41500 42800 44405 53500 58648 71048 73310 83000 88810 107000 117296 142096 146620 166000 177620 183275 214000 222025 293240 355240 366550 444050 586480 608473 710480 733100 784417 888100 916375 1110125 1216946 1466200 1568834 1776200 1832750 2220250 2433892 2932400 3042365 3137668 3552400 3665500 3922085 4440500 4867784 6084730 6275336 7331000 7844170 8881000 9735568 12169460 12550672 14662000 15211825 15688340 17762000 19610425 24338920 30423650 31376680 39220850 48677840 60847300 62753360 65106611 76059125 78441700 98052125 121694600 130213222 152118250 156883400 196104250 243389200 260426444 304236500 313766800 325533055 392208500 520852888 608473000 651066110 784417000 1041705776 1216946000 1302132220 1568834000 1627665275 2604264440 3255330550 5208528880 6510661100 8138326375 13021322200 16276652750 26042644400 32553305500 65106611000 130213222000