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122001102102 = 23117329386423
BaseRepresentation
bin111000110011111010…
…1010001010100010110
3102122220110121010112010
41301213311101110112
53444324240231402
6132014015005050
711546205154215
oct1614765212426
9378813533463
10122001102102
1147816494810
121b789b09786
13b673959259
145c9500b07c
1532909d4a6c
hex1c67d51516

122001102102 has 64 divisors (see below), whose sum is σ = 270754638336. Its totient is φ = 36338722560.

The previous prime is 122001102079. The next prime is 122001102109. The reversal of 122001102102 is 201201100221.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122001102109) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1368463 + ... + 1454885.

It is an arithmetic number, because the mean of its divisors is an integer number (4230541224).

Almost surely, 2122001102102 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 122001102102, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135377319168).

122001102102 is an abundant number, since it is smaller than the sum of its proper divisors (148753536234).

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

122001102102 is a wasteful number, since it uses less digits than its factorization.

122001102102 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86805.

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 122001102102 its reverse (201201100221), we get a palindrome (323202202323).

The spelling of 122001102102 in words is "one hundred twenty-two billion, one million, one hundred two thousand, one hundred two".

Divisors: 1 2 3 6 11 22 33 66 73 146 219 293 438 586 803 879 1606 1758 2409 3223 4818 6446 9669 19338 21389 42778 64167 86423 128334 172846 235279 259269 470558 518538 705837 950653 1411674 1901306 2851959 5703918 6308879 12617758 18926637 25321939 37853274 50643878 69397669 75965817 138795338 151931634 208193007 278541329 416386014 557082658 835623987 1671247974 1848501547 3697003094 5545504641 11091009282 20333517017 40667034034 61000551051 122001102102