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100221201009 = 3249122679611
BaseRepresentation
bin101110101010110100…
…1100010101001110001
3100120200120212111222200
41131111221202221301
53120223111413014
6114012504053413
710145401103256
oct1352551425161
9316616774880
10100221201009
113955a289756
121750ba64269
1395b25aaa07
144bca5a142d
152918880a09
hex1755a62a71

100221201009 has 12 divisors (see below), whose sum is σ = 145058798352. Its totient is φ = 66678053400.

The previous prime is 100221200999. The next prime is 100221201023. The reversal of 100221201009 is 900102122001.

It is not a de Polignac number, because 100221201009 - 27 = 100221200881 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 100221200982 and 100221201000.

It is not an unprimeable number, because it can be changed into a prime (100221201089) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 11335387 + ... + 11344224.

It is an arithmetic number, because the mean of its divisors is an integer number (12088233196).

Almost surely, 2100221201009 is an apocalyptic number.

It is an amenable number.

100221201009 is a deficient number, since it is larger than the sum of its proper divisors (44837597343).

100221201009 is a wasteful number, since it uses less digits than its factorization.

100221201009 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22680108 (or 22680105 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

The spelling of 100221201009 in words is "one hundred billion, two hundred twenty-one million, two hundred one thousand, nine".

Divisors: 1 3 9 491 1473 4419 22679611 68038833 204116499 11135689001 33407067003 100221201009