Search a number
-
+
131141220410204 = 222347132735936361
BaseRepresentation
bin11101110100010110110001…
…110110111010001101011100
3122012022222102010112212001222
4131310112301312322031130
5114142104204411111304
61142525240035552512
736423432460143164
oct3564266166721534
9565288363485058
10131141220410204
1138870752093534
121286006945b738
135823744202214
1424553a9d575a4
15102643dc4e4be
hex7745b1dba35c

131141220410204 has 96 divisors (see below), whose sum is σ = 244861401931776. Its totient is φ = 61312281338880.

The previous prime is 131141220410069. The next prime is 131141220410219. The reversal of 131141220410204 is 402014022141131.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 20616443984 + ... + 20616450344.

It is an arithmetic number, because the mean of its divisors is an integer number (2550639603456).

Almost surely, 2131141220410204 is an apocalyptic number.

It is an amenable number.

131141220410204 is a deficient number, since it is larger than the sum of its proper divisors (113720181521572).

131141220410204 is a wasteful number, since it uses less digits than its factorization.

131141220410204 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11355 (or 11353 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 26.

Adding to 131141220410204 its reverse (402014022141131), we get a palindrome (533155242551335).

The spelling of 131141220410204 in words is "one hundred thirty-one trillion, one hundred forty-one billion, two hundred twenty million, four hundred ten thousand, two hundred four".

Divisors: 1 2 4 23 46 47 92 94 188 1081 1327 2162 2654 3593 4324 5308 6361 7186 12722 14372 25444 30521 61042 62369 82639 122084 124738 146303 165278 168871 249476 292606 298967 330556 337742 585212 597934 675484 1195868 1434487 2868974 3884033 4767911 5737948 6876241 7768066 8441047 9535822 13752482 15536132 16882094 19071644 22855073 27504964 33764188 45710146 91420292 109661953 194144081 219323906 224091817 388288162 396729209 438647812 448183634 525666679 776576324 793458418 896367268 1051333358 1074188431 1586916836 2102666716 2148376862 4296753724 5154111791 9124771807 10308223582 18249543614 20616447164 24706333913 30328681871 36499087228 49412667826 60657363742 98825335652 121314727484 697559683033 1395119366066 1425448047937 2790238732132 2850896095874 5701792191748 32785305102551 65570610205102 131141220410204