Search a number
-
+
120221120101194 = 2357182871932431
BaseRepresentation
bin11011010101011100101001…
…001010000111101101001010
3120202200000201120021000200000
4123111130221022013231022
5111224200323221214234
61103404453052023430
734215455300061210
oct3325345112075512
9522600646230600
10120221120101194
1135340544158aa2
12115977a9a61b76
135210a591c1938
142198a3a0c8cb0
15dd7361d4c899
hex6d5729287b4a

120221120101194 has 96 divisors (see below), whose sum is σ = 308733004210176. Its totient is φ = 34346995360560.

The previous prime is 120221120101157. The next prime is 120221120101217. The reversal of 120221120101194 is 491101021122021.

120221120101194 is a `hidden beast` number, since 120 + 221 + 1 + 201 + 0 + 119 + 4 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 61246159 + ... + 63178589.

It is an arithmetic number, because the mean of its divisors is an integer number (3215968793856).

Almost surely, 2120221120101194 is an apocalyptic number.

120221120101194 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

120221120101194 is an abundant number, since it is smaller than the sum of its proper divisors (188511884108982).

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

120221120101194 is a wasteful number, since it uses less digits than its factorization.

120221120101194 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1950742 (or 1950730 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 27.

The spelling of 120221120101194 in words is "one hundred twenty trillion, two hundred twenty-one billion, one hundred twenty million, one hundred one thousand, one hundred ninety-four".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 54 63 81 126 162 189 243 378 486 567 1134 1701 3402 18287 36574 54861 109722 128009 164583 256018 329166 384027 493749 768054 987498 1152081 1481247 1932431 2304162 2962494 3456243 3864862 4443741 5797293 6912486 8887482 10368729 11594586 13527017 17391879 20737458 27054034 31106187 34783758 40581051 52175637 62212374 81162102 104351274 121743153 156526911 243486306 313053822 365229459 469580733 730458918 939161466 1095688377 2191376754 3287065131 6574130262 35338365697 70676731394 106015097091 212030194182 247368559879 318045291273 494737119758 636090582546 742105679637 954135873819 1484211359274 1908271747638 2226317038911 2862407621457 4452634077822 5724815242914 6678951116733 8587222864371 13357902233466 17174445728742 20036853350199 40073706700398 60110560050597 120221120101194