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10100221033 = 717592236451
BaseRepresentation
bin10010110100000010…
…10010010001101001
3222001220100101112111
421122001102101221
5131141124033113
64350122442321
7505202314360
oct113201222151
928056311474
1010100221033
114313347611
121b5a6633a1
13c4c6aa766
146bb5b07d7
153e1aa813d
hex25a052469

10100221033 has 32 divisors (see below), whose sum is σ = 12486942720. Its totient is φ = 7972819200.

The previous prime is 10100221013. The next prime is 10100221049. The reversal of 10100221033 is 33012200101.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-10100221033 is a prime.

It is not an unprimeable number, because it can be changed into a prime (10100221003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1562458 + ... + 1568908.

It is an arithmetic number, because the mean of its divisors is an integer number (390216960).

Almost surely, 210100221033 is an apocalyptic number.

It is an amenable number.

10100221033 is a deficient number, since it is larger than the sum of its proper divisors (2386721687).

10100221033 is a wasteful number, since it uses less digits than its factorization.

10100221033 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6757.

The product of its (nonzero) digits is 36, while the sum is 13.

Adding to 10100221033 its reverse (33012200101), we get a palindrome (43112421134).

The spelling of 10100221033 in words is "ten billion, one hundred million, two hundred twenty-one thousand, thirty-three".

Divisors: 1 7 17 59 119 223 413 1003 1561 3791 6451 7021 13157 26537 45157 92099 109667 223669 380609 767669 1438573 1565683 2664263 6470353 10070011 24455741 45292471 84875807 171190187 594130649 1442888719 10100221033