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201000222011013 = 34173271557148301
BaseRepresentation
bin101101101100111100000010…
…110101010010111010000101
3222100200102201001210210220120
4231230330002311102322011
5202321141423313323023
61551254121030252153
760223533610164135
oct5554740265227205
9870612631723816
10201000222011013
1159054796295417
121a6632337b7059
13882031654a589
14378c66973cac5
15183872505b8e3
hexb6cf02d52e85

201000222011013 has 64 divisors (see below), whose sum is σ = 279827963864064. Its totient is φ = 128233704960000.

The previous prime is 201000222011011. The next prime is 201000222011041. The reversal of 201000222011013 is 310110222000102.

201000222011013 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 201000222011013 - 21 = 201000222011011 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 201000222010983 and 201000222011001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (201000222011011) 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, 1355278963 + ... + 1355427263.

It is an arithmetic number, because the mean of its divisors is an integer number (4372311935376).

Almost surely, 2201000222011013 is an apocalyptic number.

It is an amenable number.

201000222011013 is a deficient number, since it is larger than the sum of its proper divisors (78827741853051).

201000222011013 is a wasteful number, since it uses less digits than its factorization.

201000222011013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 149246.

The product of its (nonzero) digits is 48, while the sum is 15.

Adding to 201000222011013 its reverse (310110222000102), we get a palindrome (511110444011115).

The spelling of 201000222011013 in words is "two hundred one trillion, two hundred twenty-two million, eleven thousand, thirteen".

Divisors: 1 3 41 73 123 219 271 557 813 1671 2993 8979 11111 19783 22837 33333 40661 59349 68511 121983 148301 150947 444903 452841 811103 1667101 2433309 5001303 6080341 6188827 10825973 11019131 18241023 18566481 32477919 33057393 40189571 82603657 120568713 247810971 443864893 451784371 1331594679 1355353113 1647772411 2933838683 3386749937 4943317233 6030066961 8801516049 10160249811 18090200883 22385591047 67156773141 120287386003 247232745401 360862158009 741698236203 917809232927 1634148146431 2753427698781 4902444439293 67000074003671 201000222011013