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101412401144022 = 23310347938064889
BaseRepresentation
bin10111000011101111101010…
…001001010110000011010110
3111022001221010121020201021000
4113003233222021112003112
5101243020044143102042
6555404114113004130
730234542560604163
oct2703575211260326
9438057117221230
10101412401144022
112a3498376a2521
12b45a49bb53646
1344781c1036857
141b0855a41b06a
15bace814dc74c
hex5c3bea2560d6

101412401144022 has 64 divisors (see below), whose sum is σ = 228023917056000. Its totient is φ = 33406050227904.

The previous prime is 101412401144011. The next prime is 101412401144029. The reversal of 101412401144022 is 220441104214101.

101412401144022 is a `hidden beast` number, since 1 + 0 + 1 + 4 + 1 + 240 + 1 + 14 + 402 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101412401144029) 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, 16368247 + ... + 21696642.

It is an arithmetic number, because the mean of its divisors is an integer number (3562873704000).

Almost surely, 2101412401144022 is an apocalyptic number.

101412401144022 is an abundant number, since it is smaller than the sum of its proper divisors (126611515911978).

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

101412401144022 is a wasteful number, since it uses less digits than its factorization.

101412401144022 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38065482 (or 38065476 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 27.

Adding to 101412401144022 its reverse (220441104214101), we get a palindrome (321853505358123).

The spelling of 101412401144022 in words is "one hundred one trillion, four hundred twelve billion, four hundred one million, one hundred forty-four thousand, twenty-two".

Divisors: 1 2 3 6 9 18 27 54 103 206 309 479 618 927 958 1437 1854 2781 2874 4311 5562 8622 12933 25866 49337 98674 148011 296022 444033 888066 1332099 2664198 38064889 76129778 114194667 228389334 342584001 685168002 1027752003 2055504006 3920683567 7841367134 11762050701 18233081831 23524101402 35286152103 36466163662 54699245493 70572304206 105858456309 109398490986 164097736479 211716912618 328195472958 492293209437 984586418874 1878007428593 3756014857186 5634022285779 11268044571558 16902066857337 33804133714674 50706200572011 101412401144022