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2103132330 = 233513246091
BaseRepresentation
bin111110101011011…
…0100000010101010
312102120102012012000
41331112310002222
513301400213310
6544405231430
7103055221065
oct17526640252
95376365160
102103132330
1198a1884a2
124a8402576
13276946800
1415d4638dc
15c49854c0
hex7d5b40aa

2103132330 has 96 divisors (see below), whose sum is σ = 6073081920. Its totient is φ = 517682880.

The previous prime is 2103132307. The next prime is 2103132331. The reversal of 2103132330 is 332313012.

2103132330 is a `hidden beast` number, since 21 + 0 + 313 + 2 + 330 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (2103132331) 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, 22585 + ... + 68675.

It is an arithmetic number, because the mean of its divisors is an integer number (63261270).

Almost surely, 22103132330 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2103132330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3036540960).

2103132330 is an abundant number, since it is smaller than the sum of its proper divisors (3969949590).

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

2103132330 is a wasteful number, since it uses less digits than its factorization.

2103132330 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46133 (or 46114 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

The square root of 2103132330 is about 45859.9207369572. The cubic root of 2103132330 is about 1281.2155465492.

Adding to 2103132330 its reverse (332313012), we get a palindrome (2435445342).

It can be divided in two parts, 21031 and 32330, that added together give a square (53361 = 2312).

The spelling of 2103132330 in words is "two billion, one hundred three million, one hundred thirty-two thousand, three hundred thirty".

Divisors: 1 2 3 5 6 9 10 13 15 18 26 27 30 39 45 54 65 78 90 117 130 135 169 195 234 270 338 351 390 507 585 702 845 1014 1170 1521 1690 1755 2535 3042 3510 4563 5070 7605 9126 15210 22815 45630 46091 92182 138273 230455 276546 414819 460910 599183 691365 829638 1198366 1244457 1382730 1797549 2074095 2488914 2995915 3595098 4148190 5392647 5991830 6222285 7789379 8987745 10785294 12444570 15578758 16177941 17975490 23368137 26963235 32355882 38946895 46736274 53926470 70104411 77893790 80889705 116840685 140208822 161779410 210313233 233681370 350522055 420626466 701044110 1051566165 2103132330