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3134300100 = 22352432291061
BaseRepresentation
bin1011101011010001…
…1001111111000100
322002102201221102220
42322310121333010
522404340100400
61235002532340
7140446053111
oct27264317704
98072657386
103134300100
11136925a068
127358070b0
133ac477359
1421a3a5908
151352717a0
hexbad19fc4

3134300100 has 144 divisors (see below), whose sum is σ = 9328777920. Its totient is φ = 812044800.

The previous prime is 3134300089. The next prime is 3134300153. The reversal of 3134300100 is 10034313.

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 3134300100.

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, 2953570 + ... + 2954630.

It is an arithmetic number, because the mean of its divisors is an integer number (64783180).

Almost surely, 23134300100 is an apocalyptic number.

3134300100 is a gapful number since it is divisible by the number (30) 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 3134300100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4664388960).

3134300100 is an abundant number, since it is smaller than the sum of its proper divisors (6194477820).

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

3134300100 is a wasteful number, since it uses less digits than its factorization.

3134300100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1350 (or 1343 counting only the distinct ones).

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

The square root of 3134300100 is about 55984.8202640680. The cubic root of 3134300100 is about 1463.4577611321.

Adding to 3134300100 its reverse (10034313), we get a palindrome (3144334413).

The spelling of 3134300100 in words is "three billion, one hundred thirty-four million, three hundred thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 43 50 60 75 86 100 129 150 172 215 229 258 300 430 458 516 645 687 860 916 1061 1075 1145 1290 1374 2122 2150 2290 2580 2748 3183 3225 3435 4244 4300 4580 5305 5725 6366 6450 6870 9847 10610 11450 12732 12900 13740 15915 17175 19694 21220 22900 26525 29541 31830 34350 39388 45623 49235 53050 59082 63660 68700 79575 91246 98470 106100 118164 136869 147705 159150 182492 196940 228115 242969 246175 273738 295410 318300 456230 485938 492350 547476 590820 684345 728907 738525 912460 971876 984700 1140575 1214845 1368690 1457814 1477050 2281150 2429690 2737380 2915628 2954100 3421725 3644535 4562300 4859380 6074225 6843450 7289070 10447667 12148450 13686900 14578140 18222675 20895334 24296900 31343001 36445350 41790668 52238335 62686002 72890700 104476670 125372004 156715005 208953340 261191675 313430010 522383350 626860020 783575025 1044766700 1567150050 3134300100