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1001101002 = 23113671871
BaseRepresentation
bin111011101010111…
…001011011001010
32120202202012101220
4323222321123022
54022240213002
6243201022510
733544134546
oct7352713312
92522665356
101001101002
11474106000
1223b324a36
1312c534375
1496d56a26
155cd4c7bc
hex3bab96ca

1001101002 has 64 divisors (see below), whose sum is σ = 2236336128. Its totient is φ = 298676400.

The previous prime is 1001100983. The next prime is 1001101021. The reversal of 1001101002 is 2001011001.

It is an interprime number because it is at equal distance from previous prime (1001100983) and next prime (1001101021).

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 534127 + ... + 535997.

It is an arithmetic number, because the mean of its divisors is an integer number (34942752).

Almost surely, 21001101002 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1001101002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1118168064).

1001101002 is an abundant number, since it is smaller than the sum of its proper divisors (1235235126).

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

1001101002 is a wasteful number, since it uses less digits than its factorization.

1001101002 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1976 (or 1954 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 6.

The square root of 1001101002 is about 31640.1801827992. The cubic root of 1001101002 is about 1000.3668660595.

Adding to 1001101002 its reverse (2001011001), we get a palindrome (3002112003).

Subtracting 1001101002 from its reverse (2001011001), we obtain a palindrome (999909999).

The spelling of 1001101002 in words is "one billion, one million, one hundred one thousand, two".

Divisors: 1 2 3 6 11 22 33 66 67 121 134 201 242 363 402 726 737 1331 1474 1871 2211 2662 3742 3993 4422 5613 7986 8107 11226 16214 20581 24321 41162 48642 61743 89177 123486 125357 178354 226391 250714 267531 376071 452782 535062 679173 752142 1358346 1378927 2490301 2757854 4136781 4980602 7470903 8273562 14941806 15168197 30336394 45504591 91009182 166850167 333700334 500550501 1001101002