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2130312300 = 22352192511489
BaseRepresentation
bin111111011111001…
…1111110001101100
312111110120002002120
41332332133301230
513330324443200
6551215552540
7103535233014
oct17676376154
95443502076
102130312300
119a3562186
124b552b750
1327c47202c
14162cdac44
15c70539a0
hex7ef9fc6c

2130312300 has 144 divisors (see below), whose sum is σ = 6518332800. Its totient is φ = 535680000.

The previous prime is 2130312299. The next prime is 2130312323. The reversal of 2130312300 is 32130312.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 2130312300.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1429956 + ... + 1431444.

It is an arithmetic number, because the mean of its divisors is an integer number (45266200).

Almost surely, 22130312300 is an apocalyptic number.

2130312300 is a gapful number since it is divisible by the number (20) 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 2130312300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3259166400).

2130312300 is an abundant number, since it is smaller than the sum of its proper divisors (4388020500).

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

2130312300 is a wasteful number, since it uses less digits than its factorization.

2130312300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1776 (or 1769 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 15.

The square root of 2130312300 is about 46155.3063038260. The cubic root of 2130312300 is about 1286.7112308236.

Adding to 2130312300 its reverse (32130312), we get a palindrome (2162442612).

The spelling of 2130312300 in words is "two billion, one hundred thirty million, three hundred twelve thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 12 15 19 20 25 30 38 50 57 60 75 76 95 100 114 150 190 228 251 285 300 380 475 502 570 753 950 1004 1140 1255 1425 1489 1506 1900 2510 2850 2978 3012 3765 4467 4769 5020 5700 5956 6275 7445 7530 8934 9538 12550 14307 14890 15060 17868 18825 19076 22335 23845 25100 28291 28614 29780 37225 37650 44670 47690 56582 57228 71535 74450 75300 84873 89340 95380 111675 113164 119225 141455 143070 148900 169746 223350 238450 282910 286140 339492 357675 373739 424365 446700 476900 565820 707275 715350 747478 848730 1121217 1414550 1430700 1494956 1697460 1868695 2121825 2242434 2829100 3737390 4243650 4484868 5606085 7101041 7474780 8487300 9343475 11212170 14202082 18686950 21303123 22424340 28030425 28404164 35505205 37373900 42606246 56060850 71010410 85212492 106515615 112121700 142020820 177526025 213031230 355052050 426062460 532578075 710104100 1065156150 2130312300