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2001012030 = 232517972139
BaseRepresentation
bin111011101000101…
…0000010100111110
312011110020221110200
41313101100110332
513044224341110
6530320344330
7100405215213
oct16721202476
95143227420
102001012030
11937578a56
1247a1750a6
1325b73cbb4
1414da7db0a
15baa126c0
hex7745053e

2001012030 has 144 divisors (see below), whose sum is σ = 5606087760. Its totient is φ = 493461504.

The previous prime is 2001012019. The next prime is 2001012067. The reversal of 2001012030 is 302101002.

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 71 ways as a sum of consecutive naturals, for example, 14395701 + ... + 14395839.

It is an arithmetic number, because the mean of its divisors is an integer number (38931165).

Almost surely, 22001012030 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2001012030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2803043880).

2001012030 is an abundant number, since it is smaller than the sum of its proper divisors (3605075730).

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

2001012030 is a wasteful number, since it uses less digits than its factorization.

2001012030 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 363 (or 263 counting only the distinct ones).

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

The square root of 2001012030 is about 44732.6729583646. The cubic root of 2001012030 is about 1260.1335270434.

Adding to 2001012030 its reverse (302101002), we get a palindrome (2303113032).

The spelling of 2001012030 in words is "two billion, one million, twelve thousand, thirty".

Divisors: 1 2 3 5 6 9 10 15 17 18 30 34 45 51 85 90 97 102 139 153 170 194 255 278 291 306 417 485 510 582 695 765 834 873 970 1251 1390 1455 1530 1649 1746 2085 2363 2502 2910 3298 4170 4365 4726 4947 6255 7089 8245 8730 9409 9894 11815 12510 13483 14178 14841 16490 18818 21267 23630 24735 26966 28227 29682 35445 40449 42534 47045 49470 56454 67415 70890 74205 80898 84681 94090 106335 121347 134830 141135 148410 159953 169362 202245 212670 229211 242694 282270 319906 404490 423405 458422 479859 606735 687633 799765 846810 959718 1146055 1213470 1307851 1375266 1439577 1599530 2062899 2292110 2399295 2615702 2879154 3438165 3923553 4125798 4798590 6539255 6876330 7197885 7847106 10314495 11770659 13078510 14395770 19617765 20628990 22233467 23541318 39235530 44466934 58853295 66700401 111167335 117706590 133400802 200101203 222334670 333502005 400202406 667004010 1000506015 2001012030