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2130001302 = 2311132434441
BaseRepresentation
bin111111011110101…
…0011110110010110
312111102222021111010
41332331103312112
513330240020202
6551205153050
7103532466222
oct17675236626
95442867433
102130001302
119a336a560
124b53bb786
1327c393600
14162c59782
15c6ee176c
hex7ef53d96

2130001302 has 96 divisors (see below), whose sum is σ = 5150445696. Its totient is φ = 581817600.

The previous prime is 2130001301. The next prime is 2130001331. The reversal of 2130001302 is 2031000312.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2130001301) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 477402 + ... + 481842.

It is an arithmetic number, because the mean of its divisors is an integer number (53650476).

Almost surely, 22130001302 is an apocalyptic number.

2130001302 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 2130001302, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2575222848).

2130001302 is an abundant number, since it is smaller than the sum of its proper divisors (3020444394).

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

2130001302 is a wasteful number, since it uses less digits than its factorization.

2130001302 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4526 (or 4513 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

The square root of 2130001302 is about 46151.9371424429. The cubic root of 2130001302 is about 1286.6486133858.

Adding to 2130001302 its reverse (2031000312), we get a palindrome (4161001614).

The spelling of 2130001302 in words is "two billion, one hundred thirty million, one thousand, three hundred two".

Divisors: 1 2 3 6 11 13 22 26 33 39 43 66 78 86 129 143 169 258 286 338 429 473 507 559 858 946 1014 1118 1419 1677 1859 2838 3354 3718 4441 5577 6149 7267 8882 11154 12298 13323 14534 18447 21801 26646 36894 43602 48851 57733 79937 97702 115466 146553 159874 173199 190963 239811 293106 346398 381926 479622 572889 635063 750529 1145778 1270126 1501058 1905189 2100593 2251587 2482519 3810378 4201186 4503174 4965038 6301779 7447557 8255819 12603558 14895114 16511638 24767457 27307709 32272747 49534914 54615418 64545494 81923127 96818241 163846254 193636482 355000217 710000434 1065000651 2130001302