Search a number
-
+
3101303100 = 223527330139
BaseRepresentation
bin1011100011011010…
…0010000100111100
322000010122112001210
42320312202010330
522322413144400
61231423404420
7136565433000
oct27066420474
98003575053
103101303100
111351671a15
12726753710
133a56931bc
14215c56700
15132404950
hexb8da213c

3101303100 has 144 divisors (see below), whose sum is σ = 10464608000. Its totient is φ = 708845760.

The previous prime is 3101303089. The next prime is 3101303129. The reversal of 3101303100 is 13031013.

It is a super-2 number, since 2×31013031002 = 19236161836139220000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

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, 87831 + ... + 117969.

Almost surely, 23101303100 is an apocalyptic number.

3101303100 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 3101303100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5232304000).

3101303100 is an abundant number, since it is smaller than the sum of its proper divisors (7363304900).

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

3101303100 is a wasteful number, since it uses less digits than its factorization.

3101303100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30177 (or 30156 counting only the distinct ones).

The product of its (nonzero) digits is 27, while the sum is 12.

The square root of 3101303100 is about 55689.3445822448. The cubic root of 3101303100 is about 1458.3040136328.

Adding to 3101303100 its reverse (13031013), we get a palindrome (3114334113).

The spelling of 3101303100 in words is "three billion, one hundred one million, three hundred three thousand, one hundred".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 25 28 30 35 42 49 50 60 70 75 84 98 100 105 140 147 150 175 196 210 245 294 300 343 350 420 490 525 588 686 700 735 980 1029 1050 1225 1372 1470 1715 2058 2100 2450 2940 3430 3675 4116 4900 5145 6860 7350 8575 10290 14700 17150 20580 25725 30139 34300 51450 60278 90417 102900 120556 150695 180834 210973 301390 361668 421946 452085 602780 632919 753475 843892 904170 1054865 1265838 1476811 1506950 1808340 2109730 2260425 2531676 2953622 3013900 3164595 4219460 4430433 4520850 5274325 5907244 6329190 7384055 8860866 9041700 10337677 10548650 12658380 14768110 15822975 17721732 20675354 21097300 22152165 29536220 31013031 31645950 36920275 41350708 44304330 51688385 62026062 63291900 73840550 88608660 103376770 110760825 124052124 147681100 155065155 206753540 221521650 258441925 310130310 443043300 516883850 620260620 775325775 1033767700 1550651550 3101303100