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10002130332021 = 3223113643665017
BaseRepresentation
bin1001000110001100110101…
…1011001110100101110101
31022102012020122211022222100
42101203031123032211311
52302333330331111041
633134525405252313
72051426054021652
oct221431533164565
938365218738870
1010002130332021
1132069748a9aa3
121156591264099
13577273606509
1426816a032c29
151252a1e9c6b6
hex918cd6ce975

10002130332021 has 48 divisors (see below), whose sum is σ = 15232763984256. Its totient is φ = 6311884981248.

The previous prime is 10002130332013. The next prime is 10002130332023. The reversal of 10002130332021 is 12023303120001.

10002130332021 is a `hidden beast` number, since 1 + 0 + 0 + 0 + 21 + 303 + 320 + 21 = 666.

It is not a de Polignac number, because 10002130332021 - 23 = 10002130332013 is a prime.

It is a super-2 number, since 2×100021303320212 (a number of 27 digits) contains 22 as substring.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 10002130331985 and 10002130332003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10002130332023) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 14707905 + ... + 15372921.

It is an arithmetic number, because the mean of its divisors is an integer number (317349249672).

Almost surely, 210002130332021 is an apocalyptic number.

It is an amenable number.

10002130332021 is a deficient number, since it is larger than the sum of its proper divisors (5230633652235).

10002130332021 is a wasteful number, since it uses less digits than its factorization.

10002130332021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 665802 (or 665799 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 10002130332021 its reverse (12023303120001), we get a palindrome (22025433452022).

The spelling of 10002130332021 in words is "ten trillion, two billion, one hundred thirty million, three hundred thirty-two thousand, twenty-one".

Divisors: 1 3 9 23 69 113 207 339 643 1017 1929 2599 5787 7797 14789 23391 44367 72659 133101 217977 653931 665017 1671157 1995051 5013471 5985153 15040413 15295391 45886173 75146921 137658519 225440763 427605931 676322289 1282817793 1728379183 3848453379 5185137549 9834936413 15555412647 29504809239 48319470203 88514427717 144958410609 434875231827 1111347814669 3334043444007 10002130332021