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131001111242295 = 35717157467452091
BaseRepresentation
bin11101110010010100010010…
…101100110110011000110111
3122011211120202200102200002220
4131302110102230312120313
5114132310233434223140
61142341025114133423
736410342441646120
oct3562242254663067
9564746680380086
10131001111242295
1138817294116988
1212838a87121273
135813475b39838
14244c6b802d047
15102298d666bd0
hex772512b36637

131001111242295 has 64 divisors (see below), whose sum is σ = 255251279932416. Its totient is φ = 56004499998720.

The previous prime is 131001111242233. The next prime is 131001111242327. The reversal of 131001111242295 is 592242111100131.

It is not a de Polignac number, because 131001111242295 - 212 = 131001111238199 is a prime.

It is a super-2 number, since 2×1310011112422952 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 233445801 + ... + 234006290.

It is an arithmetic number, because the mean of its divisors is an integer number (3988301248944).

Almost surely, 2131001111242295 is an apocalyptic number.

131001111242295 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

131001111242295 is a deficient number, since it is larger than the sum of its proper divisors (124250168690121).

131001111242295 is a wasteful number, since it uses less digits than its factorization.

131001111242295 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 467452280.

The product of its (nonzero) digits is 4320, while the sum is 33.

The spelling of 131001111242295 in words is "one hundred thirty-one trillion, one billion, one hundred eleven million, two hundred forty-two thousand, two hundred ninety-five".

Divisors: 1 3 5 7 15 17 21 35 51 85 105 119 157 255 357 471 595 785 1099 1785 2355 2669 3297 5495 8007 13345 16485 18683 40035 56049 93415 280245 467452091 1402356273 2337260455 3272164637 7011781365 7946685547 9816493911 16360823185 23840056641 39733427735 49082469555 55626798829 73389978287 119200283205 166880396487 220169934861 278133994145 366949891435 513729848009 834401982435 1100849674305 1247629630879 1541189544027 2568649240045 3742888892637 6238148154395 7705947720135 8733407416153 18714444463185 26200222248459 43667037080765 131001111242295