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3001100130 = 2325737912569
BaseRepresentation
bin1011001011100001…
…0010011101100010
321202011002200102200
42302320102131202
522121240201010
61213443554030
7134240634030
oct26270223542
97664080380
103001100130
111300051a46
126b908b916
1338a9ab1c2
14206811550
1512870ecc0
hexb2e12762

3001100130 has 96 divisors (see below), whose sum is σ = 8941795200. Its totient is φ = 684101376.

The previous prime is 3001100129. The next prime is 3001100131. The reversal of 3001100130 is 310011003.

It is an interprime number because it is at equal distance from previous prime (3001100129) and next prime (3001100131).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is not an unprimeable number, because it can be changed into a prime (3001100131) 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, 232486 + ... + 245054.

It is an arithmetic number, because the mean of its divisors is an integer number (93143700).

Almost surely, 23001100130 is an apocalyptic number.

3001100130 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 3001100130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4470897600).

3001100130 is an abundant number, since it is smaller than the sum of its proper divisors (5940695070).

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

3001100130 is a wasteful number, since it uses less digits than its factorization.

3001100130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12968 (or 12965 counting only the distinct ones).

The product of its (nonzero) digits is 9, while the sum is 9.

The square root of 3001100130 is about 54782.2975969428. The cubic root of 3001100130 is about 1442.4258445420.

Adding to 3001100130 its reverse (310011003), we get a palindrome (3311111133).

The spelling of 3001100130 in words is "three billion, one million, one hundred thousand, one hundred thirty".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 30 35 42 45 63 70 90 105 126 210 315 379 630 758 1137 1895 2274 2653 3411 3790 5306 5685 6822 7959 11370 12569 13265 15918 17055 23877 25138 26530 34110 37707 39795 47754 62845 75414 79590 87983 113121 119385 125690 175966 188535 226242 238770 263949 377070 439915 527898 565605 791847 879830 1131210 1319745 1583694 2639490 3959235 4763651 7918470 9527302 14290953 23818255 28581906 33345557 42872859 47636510 66691114 71454765 85745718 100036671 142909530 166727785 200073342 214364295 300110013 333455570 428728590 500183355 600220026 1000366710 1500550065 3001100130