Search a number
-
+
31362300261006 = 23111365355976719
BaseRepresentation
bin1110010000110000110101…
…10001000011001010001110
311010001012120121222101100120
413020120122301003022032
513102314442331323011
6150411350345405410
76414565015504611
oct710303261031216
9133035517871316
1031362300261006
119aa174997a460
123626282a99866
1314665b56ca750
147a5d2cac4178
15395c13375a06
hex1c861ac4328e

31362300261006 has 64 divisors (see below), whose sum is σ = 73803290158080. Its totient is φ = 8759236832640.

The previous prime is 31362300260959. The next prime is 31362300261007. The reversal of 31362300261006 is 60016200326313.

It is a super-2 number, since 2×313623002610062 (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31362300261007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 27428086 + ... + 28548633.

It is an arithmetic number, because the mean of its divisors is an integer number (1153176408720).

Almost surely, 231362300261006 is an apocalyptic number.

31362300261006 is an abundant number, since it is smaller than the sum of its proper divisors (42440989897074).

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

31362300261006 is a wasteful number, since it uses less digits than its factorization.

31362300261006 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55977401.

The product of its (nonzero) digits is 23328, while the sum is 33.

Adding to 31362300261006 its reverse (60016200326313), we get a palindrome (91378500587319).

The spelling of 31362300261006 in words is "thirty-one trillion, three hundred sixty-two billion, three hundred million, two hundred sixty-one thousand, six".

Divisors: 1 2 3 6 11 13 22 26 33 39 66 78 143 286 429 653 858 1306 1959 3918 7183 8489 14366 16978 21549 25467 43098 50934 93379 186758 280137 560274 55976719 111953438 167930157 335860314 615743909 727697347 1231487818 1455394694 1847231727 2183092041 3694463454 4366184082 8004670817 16009341634 24014012451 36552797507 48028024902 73105595014 109658392521 219316785042 402080772577 475186367591 804161545154 950372735182 1206242317731 1425559102773 2412484635462 2851118205546 5227050043501 10454100087002 15681150130503 31362300261006