Search a number
-
+
3141301020 = 22351113228163
BaseRepresentation
bin1011101100111100…
…0111001100011100
322002220220121220020
42323033013030130
522413133113040
61235412552140
7140562422004
oct27317071434
98086817806
103141301020
111372200a50
12738022650
133b0a58b00
1421b2a9004
15135ba5cd0
hexbb3c731c

3141301020 has 144 divisors (see below), whose sum is σ = 10390488192. Its totient is φ = 702923520.

The previous prime is 3141300997. The next prime is 3141301087. The reversal of 3141301020 is 201031413.

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

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, 97459 + ... + 125621.

It is an arithmetic number, because the mean of its divisors is an integer number (72156168).

Almost surely, 23141301020 is an apocalyptic number.

3141301020 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 3141301020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5195244096).

3141301020 is an abundant number, since it is smaller than the sum of its proper divisors (7249187172).

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

3141301020 is a wasteful number, since it uses less digits than its factorization.

3141301020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28212 (or 28197 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

The square root of 3141301020 is about 56047.3105509979. The cubic root of 3141301020 is about 1464.5465668750.

Adding to 3141301020 its reverse (201031413), we get a palindrome (3342332433).

The spelling of 3141301020 in words is "three billion, one hundred forty-one million, three hundred one thousand, twenty".

Divisors: 1 2 3 4 5 6 10 11 12 13 15 20 22 26 30 33 39 44 52 55 60 65 66 78 110 130 132 143 156 165 169 195 220 260 286 330 338 390 429 507 572 660 676 715 780 845 858 1014 1430 1690 1716 1859 2028 2145 2535 2860 3380 3718 4290 5070 5577 7436 8580 9295 10140 11154 18590 22308 27885 28163 37180 55770 56326 84489 111540 112652 140815 168978 281630 309793 337956 366119 422445 563260 619586 732238 844890 929379 1098357 1239172 1464476 1548965 1689780 1830595 1858758 2196714 3097930 3661190 3717516 4027309 4393428 4646895 4759547 5491785 6195860 7322380 8054618 9293790 9519094 10983570 12081927 14278641 16109236 18587580 19038188 20136545 21967140 23797735 24163854 28557282 40273090 47595470 48327708 52355017 57114564 60409635 71393205 80546180 95190940 104710034 120819270 142786410 157065051 209420068 241638540 261775085 285572820 314130102 523550170 628260204 785325255 1047100340 1570650510 3141301020