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101342244201 = 31137263401787
BaseRepresentation
bin101111001100001110…
…1111110110101101001
3100200120201022102010220
41132120131332311221
53130022103303301
6114320032000253
710215232601622
oct1363035766551
9320521272126
10101342244201
1139a85067030
1217783390089
139730918893
144c9541aa49
152981ec1936
hex179877ed69

101342244201 has 64 divisors (see below), whose sum is σ = 152539047936. Its totient is φ = 59308416000.

The previous prime is 101342244193. The next prime is 101342244209. The reversal of 101342244201 is 102442243101.

It is an interprime number because it is at equal distance from previous prime (101342244193) and next prime (101342244209).

It is not a de Polignac number, because 101342244201 - 23 = 101342244193 is a prime.

It is not an unprimeable number, because it can be changed into a prime (101342244209) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 128769930 + ... + 128770716.

It is an arithmetic number, because the mean of its divisors is an integer number (2383422624).

Almost surely, 2101342244201 is an apocalyptic number.

101342244201 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

101342244201 is a deficient number, since it is larger than the sum of its proper divisors (51196803735).

101342244201 is a wasteful number, since it uses less digits than its factorization.

101342244201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1502.

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 101342244201 its reverse (102442243101), we get a palindrome (203784487302).

It can be divided in two parts, 101342 and 244201, that added together give a palindrome (345543).

The spelling of 101342244201 in words is "one hundred one billion, three hundred forty-two million, two hundred forty-four thousand, two hundred one".

Divisors: 1 3 11 33 37 111 263 401 407 787 789 1203 1221 2361 2893 4411 8657 8679 9731 13233 14837 25971 29119 29193 44511 87357 105463 107041 163207 206981 315587 316389 320309 321123 489621 620943 946761 960927 1160093 2276791 3471457 3480279 3902131 6830373 7658297 10414371 11676719 11706393 22974891 35030157 42923441 82999381 84241267 128443909 128770323 248998143 252723801 385331727 912993191 2738979573 3070977097 9212931291 33780748067 101342244201