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2001001002 = 23711133171051
BaseRepresentation
bin111011101000100…
…1101101000101010
312011110020101100020
41313101031220222
513044224013002
6530320221310
7100405141110
oct16721155052
95143211306
102001001002
11937570740
1247a16a836
1325b737b80
1414da79ab0
15baa0e2bc
hex7744da2a

2001001002 has 128 divisors (see below), whose sum is σ = 5395396608. Its totient is φ = 477792000.

The previous prime is 2001000977. The next prime is 2001001003.

It is a happy number.

2001001002 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (6).

It is not an unprimeable number, because it can be changed into a prime (2001001003) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1903377 + ... + 1904427.

It is an arithmetic number, because the mean of its divisors is an integer number (42151536).

Almost surely, 22001001002 is an apocalyptic number.

2001001002 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 2001001002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2697698304).

2001001002 is an abundant number, since it is smaller than the sum of its proper divisors (3394395606).

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

2001001002 is a wasteful number, since it uses less digits than its factorization.

2001001002 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1404.

The product of its (nonzero) digits is 4, while the sum is 6.

The square root of 2001001002 is about 44732.5496925896. The cubic root of 2001001002 is about 1260.1312120851.

It can be divided in two parts, 200100 and 1002, that added together give a palindrome (201102).

The spelling of 2001001002 in words is "two billion, one million, one thousand, two".

Divisors: 1 2 3 6 7 11 13 14 21 22 26 33 39 42 66 77 78 91 143 154 182 231 273 286 317 429 462 546 634 858 951 1001 1051 1902 2002 2102 2219 3003 3153 3487 4121 4438 6006 6306 6657 6974 7357 8242 10461 11561 12363 13314 13663 14714 20922 22071 23122 24409 24726 27326 28847 34683 40989 44142 45331 48818 57694 69366 73227 80927 81978 86541 90662 95641 135993 146454 150293 161854 173082 191282 242781 271986 286923 300586 317317 333167 450879 485562 573846 634634 666334 901758 951951 999501 1052051 1903902 1999002 2104102 2332169 3156153 3664837 4331171 4664338 6312306 6996507 7329674 8662342 10994511 12993513 13993014 21989022 25653859 25987026 30318197 47642881 51307718 60636394 76961577 90954591 95285762 142928643 153923154 181909182 285857286 333500167 667000334 1000500501 2001001002