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1000131330110 = 2511109540715427
BaseRepresentation
bin11101000110111000111…
…10010000000000111110
310112121111212112200112012
432203130132100000332
5112341232110030420
62043242021211222
7132154121016443
oct16433436200076
93477455480465
101000131330110
11356176076180
121419b9b60b12
137340955b873
1436599a719ca
151b038058dc5
hexe8dc79003e

1000131330110 has 64 divisors (see below), whose sum is σ = 1982406666240. Its totient is φ = 360257569920.

The previous prime is 1000131330103. The next prime is 1000131330113. The reversal of 1000131330110 is 110331310001.

It is a happy number.

It is a super-2 number, since 2×10001313301102 (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1000131330113) 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, 64822217 + ... + 64837643.

It is an arithmetic number, because the mean of its divisors is an integer number (30975104160).

Almost surely, 21000131330110 is an apocalyptic number.

1000131330110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1000131330110 is a deficient number, since it is larger than the sum of its proper divisors (982275336130).

1000131330110 is a wasteful number, since it uses less digits than its factorization.

1000131330110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20961.

The product of its (nonzero) digits is 27, while the sum is 14.

Adding to 1000131330110 its reverse (110331310001), we get a palindrome (1110462640111).

The spelling of 1000131330110 in words is "one trillion, one hundred thirty-one million, three hundred thirty thousand, one hundred ten".

Divisors: 1 2 5 10 11 22 55 109 110 218 545 1090 1199 2398 5407 5995 10814 11990 15427 27035 30854 54070 59477 77135 118954 154270 169697 297385 339394 589363 594770 848485 1178726 1681543 1696970 2946815 3363086 5893630 6482993 8407715 12965986 16815430 18496973 32414965 36993946 64829930 83413789 92484865 166827578 184969730 417068945 834137890 917551679 1835103358 4587758395 9092103001 9175516790 18184206002 45460515005 90921030010 100013133011 200026266022 500065665055 1000131330110