Search a number
-
+
120120000201102 = 231153343310002803
BaseRepresentation
bin11011010011111110011101…
…111100010100000110001110
3120202022100201100022212022010
4123103332131330110012032
5111221021230022413402
61103250211041402050
734205245404104646
oct3323763574240616
9522270640285263
10120120000201102
1135301673656430
1211580089039326
135204362684725
142193ba6429526
15dd48e464aa6c
hex6d3f9df1418e

120120000201102 has 64 divisors (see below), whose sum is σ = 267102714606336. Its totient is φ = 35702801122560.

The previous prime is 120120000201101. The next prime is 120120000201119. The reversal of 120120000201102 is 201102000021021.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120120000201101) 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, 7007233 + ... + 17010035.

It is an arithmetic number, because the mean of its divisors is an integer number (4173479915724).

Almost surely, 2120120000201102 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 120120000201102, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133551357303168).

120120000201102 is an abundant number, since it is smaller than the sum of its proper divisors (146982714405234).

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

120120000201102 is a wasteful number, since it uses less digits than its factorization.

120120000201102 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10006305.

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

Adding to 120120000201102 its reverse (201102000021021), we get a palindrome (321222000222123).

The spelling of 120120000201102 in words is "one hundred twenty trillion, one hundred twenty billion, two hundred one thousand, one hundred two".

Divisors: 1 2 3 6 11 22 33 53 66 106 159 318 583 1166 1749 3433 3498 6866 10299 20598 37763 75526 113289 181949 226578 363898 545847 1091694 2001439 4002878 6004317 10002803 12008634 20005606 30008409 60016818 110030833 220061666 330092499 530148559 660184998 1060297118 1590445677 3180891354 5831634149 11663268298 17494902447 34339622699 34989804894 68679245398 103018868097 206037736194 377735849689 755471699378 1133207549067 1820000003047 2266415098134 3640000006094 5460000009141 10920000018282 20020000033517 40040000067034 60060000100551 120120000201102