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130215211000 = 23537113164621
BaseRepresentation
bin111100101000101101…
…1100110111111111000
3110110002220220002121121
41321101123212333320
54113140043223000
6135453043515024
712256566013450
oct1712133467770
9413086802547
10130215211000
1150251101366
12212a0988a74
13c382656514
146433ccad60
1535c1bc4b1a
hex1e516e6ff8

130215211000 has 128 divisors (see below), whose sum is σ = 351316517760. Its totient is φ = 44249856000.

The previous prime is 130215210989. The next prime is 130215211001. The reversal of 130215211000 is 112512031.

130215211000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130215211001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 708690 + ... + 873310.

It is an arithmetic number, because the mean of its divisors is an integer number (2744660295).

Almost surely, 2130215211000 is an apocalyptic number.

130215211000 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 130215211000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175658258880).

130215211000 is an abundant number, since it is smaller than the sum of its proper divisors (221101306760).

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

130215211000 is a wasteful number, since it uses less digits than its factorization.

130215211000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 164762 (or 164748 counting only the distinct ones).

The product of its (nonzero) digits is 60, while the sum is 16.

Adding to 130215211000 its reverse (112512031), we get a palindrome (130327723031).

The spelling of 130215211000 in words is "one hundred thirty billion, two hundred fifteen million, two hundred eleven thousand".

Divisors: 1 2 4 5 7 8 10 14 20 25 28 35 40 50 56 70 100 113 125 140 175 200 226 250 280 350 452 500 565 700 791 875 904 1000 1130 1400 1582 1750 2260 2825 3164 3500 3955 4520 5650 6328 7000 7910 11300 14125 15820 19775 22600 28250 31640 39550 56500 79100 98875 113000 158200 164621 197750 329242 395500 658484 791000 823105 1152347 1316968 1646210 2304694 3292420 4115525 4609388 5761735 6584840 8231050 9218776 11523470 16462100 18602173 20577625 23046940 28808675 32924200 37204346 41155250 46093880 57617350 74408692 82310500 93010865 115234700 130215211 144043375 148817384 164621000 186021730 230469400 260430422 288086750 372043460 465054325 520860844 576173500 651076055 744086920 930108650 1041721688 1152347000 1302152110 1860217300 2325271625 2604304220 3255380275 3720434600 4650543250 5208608440 6510760550 9301086500 13021521100 16276901375 18602173000 26043042200 32553802750 65107605500 130215211000