Search a number
-
+
142931060100 = 2232521071484227
BaseRepresentation
bin1000010100011101011…
…0101110010110000100
3111122221010000011022200
42011013112232112010
54320210322410400
6145354524354500
713216651652013
oct2050726562604
9448833004280
10142931060100
1155686947a64
122384b3a5a30
131062abb939a
146cbca0aa7a
153ab81e8b00
hex21475ae584

142931060100 has 108 divisors (see below), whose sum is σ = 452196776304. Its totient is φ = 37758709440.

The previous prime is 142931060099. The next prime is 142931060143. The reversal of 142931060100 is 1060139241.

142931060100 is a `hidden beast` number, since 1 + 4 + 29 + 31 + 0 + 601 + 0 + 0 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 645814 + ... + 838413.

It is an arithmetic number, because the mean of its divisors is an integer number (4187007188).

Almost surely, 2142931060100 is an apocalyptic number.

142931060100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

142931060100 is an abundant number, since it is smaller than the sum of its proper divisors (309265716204).

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

142931060100 is a wasteful number, since it uses less digits than its factorization.

142931060100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1484354 (or 1484344 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

Adding to 142931060100 its reverse (1060139241), we get a palindrome (143991199341).

The spelling of 142931060100 in words is "one hundred forty-two billion, nine hundred thirty-one million, sixty thousand, one hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 30 36 45 50 60 75 90 100 107 150 180 214 225 300 321 428 450 535 642 900 963 1070 1284 1605 1926 2140 2675 3210 3852 4815 5350 6420 8025 9630 10700 16050 19260 24075 32100 48150 96300 1484227 2968454 4452681 5936908 7421135 8905362 13358043 14842270 17810724 22263405 26716086 29684540 37105675 44526810 53432172 66790215 74211350 89053620 111317025 133580430 148422700 158812289 222634050 267160860 317624578 333951075 445268100 476436867 635249156 667902150 794061445 952873734 1335804300 1429310601 1588122890 1905747468 2382184335 2858621202 3176245780 3970307225 4764368670 5717242404 7146553005 7940614450 9528737340 11910921675 14293106010 15881228900 23821843350 28586212020 35732765025 47643686700 71465530050 142931060100