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10021001001 = 31110915591787
BaseRepresentation
bin10010101010100110…
…00101011100101001
3221212101021121002020
421111103011130221
5131010334013001
64334212455053
7503221050234
oct112523053451
927771247066
1010021001001
114282659410
121b3801a489
13c391613bb
146b0c6c41b
153d9b5a736
hex2554c5729

10021001001 has 32 divisors (see below), whose sum is σ = 14727398400. Its totient is φ = 6010390080.

The previous prime is 10021000991. The next prime is 10021001009. The reversal of 10021001001 is 10010012001.

It is not a de Polignac number, because 10021001001 - 213 = 10020992809 is a prime.

It is a super-3 number, since 3×100210010013 (a number of 31 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (10021001009) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5606830 + ... + 5608616.

It is an arithmetic number, because the mean of its divisors is an integer number (460231200).

Almost surely, 210021001001 is an apocalyptic number.

10021001001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10021001001 is a deficient number, since it is larger than the sum of its proper divisors (4706397399).

10021001001 is a wasteful number, since it uses less digits than its factorization.

10021001001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3469.

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

Adding to 10021001001 its reverse (10010012001), we get a palindrome (20031013002).

The spelling of 10021001001 in words is "ten billion, twenty-one million, one thousand, one".

Divisors: 1 3 11 33 109 327 1199 1559 1787 3597 4677 5361 17149 19657 51447 58971 169931 194783 509793 584349 1869241 2142613 2785933 5607723 6427839 8357799 30645263 91935789 303666697 911000091 3340333667 10021001001