Search a number
-
+
11101303031310 = 2335112393658327
BaseRepresentation
bin1010000110001011100100…
…1110010100011000001110
31110022021101220011212111000
42201202321032110120032
52423340432034000220
635335511311041130
72224020431556042
oct241427116243016
943267356155430
1011101303031310
1135a0044172798
1212b360bb101a6
13626b04b9042b
142a543d6a6022
15143b84ed2390
hexa18b939460e

11101303031310 has 64 divisors (see below), whose sum is σ = 29606116838400. Its totient is φ = 2960083266336.

The previous prime is 11101303031303. The next prime is 11101303031311. The reversal of 11101303031310 is 1313030310111.

11101303031310 is a `hidden beast` number, since 11 + 10 + 1 + 30 + 303 + 1 + 310 = 666.

It is a super-2 number, since 2×111013030313102 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11101303031311) 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, 1205367 + ... + 4863693.

It is an arithmetic number, because the mean of its divisors is an integer number (462595575600).

Almost surely, 211101303031310 is an apocalyptic number.

11101303031310 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

11101303031310 is an abundant number, since it is smaller than the sum of its proper divisors (18504813807090).

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

11101303031310 is a wasteful number, since it uses less digits than its factorization.

11101303031310 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3669582 (or 3669576 counting only the distinct ones).

The product of its (nonzero) digits is 81, while the sum is 18.

Adding to 11101303031310 its reverse (1313030310111), we get a palindrome (12414333341421).

The spelling of 11101303031310 in words is "eleven trillion, one hundred one billion, three hundred three million, thirty-one thousand, three hundred ten".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 90 135 270 11239 22478 33717 56195 67434 101151 112390 168585 202302 303453 337170 505755 606906 1011510 1517265 3034530 3658327 7316654 10974981 18291635 21949962 32924943 36583270 54874905 65849886 98774829 109749810 164624715 197549658 329249430 493874145 987748290 41115937153 82231874306 123347811459 205579685765 246695622918 370043434377 411159371530 616739057295 740086868754 1110130303131 1233478114590 1850217171885 2220260606262 3700434343770 5550651515655 11101303031310