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101003220012042 = 2342353372649293
BaseRepresentation
bin10110111101110010100101…
…000011001100110000001010
3111020121210222001202111220000
4112331302211003030300022
5101214314043310341132
6554452123321143430
730163145643430425
oct2675624503146012
9436553861674800
10101003220012042
112a201252603847
12b3b312602ab76
13444874156904a
141ad2820b729bc
15ba24d3a8887c
hex5bdca50ccc0a

101003220012042 has 40 divisors (see below), whose sum is σ = 226323077148036. Its totient is φ = 33667584234048.

The previous prime is 101003220012031. The next prime is 101003220012043. The reversal of 101003220012042 is 240210022300101.

It is a happy number.

101003220012042 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 86219971691841 + 14783248320201 = 9285471^2 + 3844899^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (101003220012043) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 36799948 + ... + 39449240.

Almost surely, 2101003220012042 is an apocalyptic number.

101003220012042 is an abundant number, since it is smaller than the sum of its proper divisors (125319857135994).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

101003220012042 is a wasteful number, since it uses less digits than its factorization.

101003220012042 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2884644 (or 2884635 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 101003220012042 its reverse (240210022300101), we get a palindrome (341213242312143).

The spelling of 101003220012042 in words is "one hundred one trillion, three billion, two hundred twenty million, twelve thousand, forty-two".

Divisors: 1 2 3 6 9 18 27 54 81 162 235337 470674 706011 1412022 2118033 2649293 4236066 5298586 6354099 7947879 12708198 15895758 19062297 23843637 38124594 47687274 71530911 143061822 214592733 429185466 623476666741 1246953333482 1870430000223 3740860000446 5611290000669 11222580001338 16833870002007 33667740004014 50501610006021 101003220012042