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10100221101 = 3317229307313
BaseRepresentation
bin10010110100000010…
…10010010010101101
3222001220100101122000
421122001102102231
5131141124033401
64350122442513
7505202314515
oct113201222255
928056311560
1010100221101
114313347673
121b5a663439
13c4c6aa7b9
146bb5b0845
153e1aa8186
hex25a0524ad

10100221101 has 64 divisors (see below), whose sum is σ = 16015507200. Its totient is φ = 6269073408.

The previous prime is 10100221093. The next prime is 10100221121. The reversal of 10100221101 is 10112200101.

It is a happy number.

It is not a de Polignac number, because 10100221101 - 23 = 10100221093 is a prime.

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

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10100221121) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 32268921 + ... + 32269233.

It is an arithmetic number, because the mean of its divisors is an integer number (250242300).

Almost surely, 210100221101 is an apocalyptic number.

It is an amenable number.

10100221101 is a deficient number, since it is larger than the sum of its proper divisors (5915286099).

10100221101 is a wasteful number, since it uses less digits than its factorization.

10100221101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 875 (or 869 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 10100221101 its reverse (10112200101), we get a palindrome (20212421202).

The spelling of 10100221101 in words is "ten billion, one hundred million, two hundred twenty-one thousand, one hundred one".

Divisors: 1 3 9 17 27 51 153 229 307 313 459 687 921 939 2061 2763 2817 3893 5219 5321 6183 8289 8451 11679 15657 15963 35037 46971 47889 70303 71677 96091 105111 140913 143667 210909 215031 288273 632727 645093 864819 1195151 1218509 1633547 1898181 1935279 2594457 3585453 3655527 4900641 10756359 10966581 14701923 22004839 32269077 32899743 44105769 66014517 198043551 374082263 594130653 1122246789 3366740367 10100221101