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2001102300 = 2233521743597
BaseRepresentation
bin111011101000110…
…0110010111011100
312011110102112022000
41313101212113130
513044240233200
6530322322300
7100406042331
oct16721462734
95143375260
102001102300
1193762a85a
1247a1b9390
1325b772002
1414daa4988
15baa2e300
hex774665dc

2001102300 has 144 divisors (see below), whose sum is σ = 6811751520. Its totient is φ = 502225920.

The previous prime is 2001102253. The next prime is 2001102329. The reversal of 2001102300 is 32011002.

It is a happy number.

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

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, 24102 + ... + 67698.

It is an arithmetic number, because the mean of its divisors is an integer number (47303830).

Almost surely, 22001102300 is an apocalyptic number.

2001102300 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 2001102300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3405875760).

2001102300 is an abundant number, since it is smaller than the sum of its proper divisors (4810649220).

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

2001102300 is a wasteful number, since it uses less digits than its factorization.

2001102300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 43637 (or 43624 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

The square root of 2001102300 is about 44733.6819410162. The cubic root of 2001102300 is about 1260.1524758788.

Adding to 2001102300 its reverse (32011002), we get a palindrome (2033113302).

It can be divided in two parts, 200 and 1102300, that added together give a square (1102500 = 10502).

The spelling of 2001102300 in words is "two billion, one million, one hundred two thousand, three hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 17 18 20 25 27 30 34 36 45 50 51 54 60 68 75 85 90 100 102 108 135 150 153 170 180 204 225 255 270 300 306 340 425 450 459 510 540 612 675 765 850 900 918 1020 1275 1350 1530 1700 1836 2295 2550 2700 3060 3825 4590 5100 7650 9180 11475 15300 22950 43597 45900 87194 130791 174388 217985 261582 392373 435970 523164 653955 741149 784746 871940 1089925 1177119 1307910 1482298 1569492 1961865 2179850 2223447 2354238 2615820 2964596 3269775 3705745 3923730 4359700 4446894 4708476 5885595 6539550 6670341 7411490 7847460 8893788 9809325 11117235 11771190 13079100 13340682 14822980 18528725 19618650 20011023 22234470 23542380 26681364 29427975 33351705 37057450 39237300 40022046 44468940 55586175 58855950 66703410 74114900 80044092 100055115 111172350 117711900 133406820 166758525 200110230 222344700 333517050 400220460 500275575 667034100 1000551150 2001102300