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100220011021 = 1329713744163
BaseRepresentation
bin101110101010110010…
…1000000001000001101
3100120200111122001122001
41131111211000020031
53120222310323041
6114012422352301
710145355016024
oct1352545001015
9316614561561
10100220011021
1139559646699
121750b58b691
1395b2282190
144bca3718bb
1529186e8131
hex175594020d

100220011021 has 16 divisors (see below), whose sum is σ = 113223519360. Its totient is φ = 88062690240.

The previous prime is 100220010997. The next prime is 100220011043. The reversal of 100220011021 is 120110022001.

It is a cyclic number.

It is not a de Polignac number, because 100220011021 - 27 = 100220010893 is a prime.

It is a super-2 number, since 2×1002200110212 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 100220010989 and 100220011007.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100220011051) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1845315 + ... + 1898848.

It is an arithmetic number, because the mean of its divisors is an integer number (7076469960).

Almost surely, 2100220011021 is an apocalyptic number.

It is an amenable number.

100220011021 is a deficient number, since it is larger than the sum of its proper divisors (13003508339).

100220011021 is a wasteful number, since it uses less digits than its factorization.

100220011021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3744276.

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 100220011021 its reverse (120110022001), we get a palindrome (220330033022).

The spelling of 100220011021 in words is "one hundred billion, two hundred twenty million, eleven thousand, twenty-one".

Divisors: 1 13 29 71 377 923 2059 26767 3744163 48674119 108580727 265835573 1411549451 3455862449 7709231617 100220011021