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10201320101 = 717313401683
BaseRepresentation
bin10011000000000101…
…11100101010100101
3222022221120202101102
421200002330222211
5131343014220401
64404133405445
7510540535010
oct114002745245
928287522342
1010201320101
114365419865
121b88499885
13c676175ab
146cabaa377
153ea8c856b
hex2600bcaa5

10201320101 has 32 divisors (see below), whose sum is σ = 12432953088. Its totient is φ = 8170905600.

The previous prime is 10201320091. The next prime is 10201320109. The reversal of 10201320101 is 10102310201.

It is a cyclic number.

It is not a de Polignac number, because 10201320101 - 26 = 10201320037 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10201320109) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 14935706 + ... + 14936388.

It is an arithmetic number, because the mean of its divisors is an integer number (388529784).

Almost surely, 210201320101 is an apocalyptic number.

It is an amenable number.

10201320101 is a deficient number, since it is larger than the sum of its proper divisors (2231632987).

10201320101 is a wasteful number, since it uses less digits than its factorization.

10201320101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1421.

The product of its (nonzero) digits is 12, while the sum is 11.

Adding to 10201320101 its reverse (10102310201), we get a palindrome (20303630302).

The spelling of 10201320101 in words is "ten billion, two hundred one million, three hundred twenty thousand, one hundred one".

Divisors: 1 7 17 119 313 401 683 2191 2807 4781 5321 6817 11611 37247 47719 81277 125513 213779 273883 878591 1496453 1917181 2133721 3634243 4656011 14936047 25439701 32592077 85725379 600077653 1457331443 10201320101