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1022101002 = 23213233359
BaseRepresentation
bin111100111011000…
…000011000001010
32122020021002222200
4330323000120022
54043124213002
6245231101030
734220500206
oct7473003012
92566232880
101022101002
11484a4967a
12246371776
131339a79c0
1499a61b06
155eae9b1c
hex3cec060a

1022101002 has 96 divisors (see below), whose sum is σ = 2500243200. Its totient is φ = 299981088.

The previous prime is 1022100977. The next prime is 1022101007. The reversal of 1022101002 is 2001012201.

It is a super-3 number, since 3×10221010023 (a number of 28 digits) contains 333 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (1022101007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2846899 + ... + 2847257.

It is an arithmetic number, because the mean of its divisors is an integer number (26044200).

Almost surely, 21022101002 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1022101002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1250121600).

1022101002 is an abundant number, since it is smaller than the sum of its proper divisors (1478142198).

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

1022101002 is a wasteful number, since it uses less digits than its factorization.

1022101002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 449 (or 400 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

The square root of 1022101002 is about 31970.3143869434. The cubic root of 1022101002 is about 1007.3133846842.

Adding to 1022101002 its reverse (2001012201), we get a palindrome (3023113203).

The spelling of 1022101002 in words is "one billion, twenty-two million, one hundred one thousand, two".

Divisors: 1 2 3 6 9 13 18 23 26 39 46 69 78 117 138 207 234 299 359 414 529 598 718 897 1058 1077 1587 1794 2154 2691 3174 3231 4667 4761 5382 6462 6877 8257 9334 9522 12167 13754 14001 16514 20631 24334 24771 28002 36501 41262 42003 49542 61893 73002 74313 84006 107341 109503 123786 148626 158171 189911 214682 219006 316342 322023 379822 474513 569733 644046 949026 966069 1139466 1423539 1709199 1932138 2468843 2847078 3418398 4367953 4937686 7406529 8735906 13103859 14813058 22219587 26207718 39311577 44439174 56783389 78623154 113566778 170350167 340700334 511050501 1022101002