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2301131000 = 23537973389
BaseRepresentation
bin1000100100101000…
…0111100011111000
312221100222120022002
42021022013203320
514203042143000
61020201120132
7111011201510
oct21112074370
95840876262
102301131000
11a80a23863
12542789048
132a897cb9c
1417b884840
15d70468d5
hex892878f8

2301131000 has 128 divisors (see below), whose sum is σ = 6219158400. Its totient is φ = 780595200.

The previous prime is 2301130991. The next prime is 2301131009. The reversal of 2301131000 is 1311032.

It is an interprime number because it is at equal distance from previous prime (2301130991) and next prime (2301131009).

It is a super-2 number, since 2×23011310002 = 10590407758322000000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2301131009) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 677306 + ... + 680694.

It is an arithmetic number, because the mean of its divisors is an integer number (48587175).

Almost surely, 22301131000 is an apocalyptic number.

2301131000 is a gapful number since it is divisible by the number (20) 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 2301131000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3109579200).

2301131000 is an abundant number, since it is smaller than the sum of its proper divisors (3918027400).

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

2301131000 is a wasteful number, since it uses less digits than its factorization.

2301131000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3514 (or 3500 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 11.

The square root of 2301131000 is about 47970.1052740141. The cubic root of 2301131000 is about 1320.2224525612. Note that the first 3 decimals are identical.

Adding to 2301131000 its reverse (1311032), we get a palindrome (2302442032).

The spelling of 2301131000 in words is "two billion, three hundred one million, one hundred thirty-one thousand".

Divisors: 1 2 4 5 7 8 10 14 20 25 28 35 40 50 56 70 97 100 125 140 175 194 200 250 280 350 388 485 500 679 700 776 875 970 1000 1358 1400 1750 1940 2425 2716 3389 3395 3500 3880 4850 5432 6778 6790 7000 9700 12125 13556 13580 16945 16975 19400 23723 24250 27112 27160 33890 33950 47446 48500 67780 67900 84725 84875 94892 97000 118615 135560 135800 169450 169750 189784 237230 328733 338900 339500 423625 474460 593075 657466 677800 679000 847250 948920 1186150 1314932 1643665 1694500 2301131 2372300 2629864 2965375 3287330 3389000 4602262 4744600 5930750 6574660 8218325 9204524 11505655 11861500 13149320 16436650 18409048 23011310 23723000 32873300 41091625 46022620 57528275 65746600 82183250 92045240 115056550 164366500 230113100 287641375 328733000 460226200 575282750 1150565500 2301131000