Search a number
-
+
11331131332101 = 3747311223916487
BaseRepresentation
bin1010010011100011110000…
…0011101101011000000101
31111010020122000200020022120
42210320330003231120011
52441122124110111401
640033241101120153
72246434666105110
oct244707403553005
944106560606276
1011331131332101
113679562264849
121330070b59059
136426a0b18b19
142b2603099577
15149b36e66836
hexa4e3c0ed605

11331131332101 has 64 divisors (see below), whose sum is σ = 17699532963840. Its totient is φ = 6313586708160.

The previous prime is 11331131332093. The next prime is 11331131332139. The reversal of 11331131332101 is 10123313113311.

It is not a de Polignac number, because 11331131332101 - 23 = 11331131332093 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11331131332151) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 687268480 + ... + 687284966.

It is an arithmetic number, because the mean of its divisors is an integer number (276555202560).

Almost surely, 211331131332101 is an apocalyptic number.

It is an amenable number.

11331131332101 is a deficient number, since it is larger than the sum of its proper divisors (6368401631739).

11331131332101 is a wasteful number, since it uses less digits than its factorization.

11331131332101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19094.

The product of its (nonzero) digits is 486, while the sum is 24.

Adding to 11331131332101 its reverse (10123313113311), we get a palindrome (21454444445412).

The spelling of 11331131332101 in words is "eleven trillion, three hundred thirty-one billion, one hundred thirty-one million, three hundred thirty-two thousand, one hundred one".

Divisors: 1 3 7 21 47 141 311 329 933 987 2177 2239 6531 6717 14617 15673 16487 43851 47019 49461 102319 105233 115409 306957 315699 346227 696329 736631 774889 2088987 2209893 2324667 4874303 5127457 5424223 14622909 15382371 16272669 32727463 35892199 36914393 98182389 107676597 110743179 229092241 240990479 258400751 687276723 722971437 775202253 1686933353 1734976471 5060800059 5204929413 11480376223 12144835297 34441128669 36434505891 80362633561 241087900683 539577682481 1618733047443 3777043777367 11331131332101