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1100120331310 = 2571113109902131
BaseRepresentation
bin10000000000100100010…
…010000001010000101110
310220011121021111020020221
4100000210102001100232
5121011021301100220
62201215512401554
7142324002345460
oct20004422012056
93804537436227
101100120331310
11394616279760
121592640a62ba
137c9829b9c30
143b36346c130
151d93b31e9aa
hex1002448142e

1100120331310 has 64 divisors (see below), whose sum is σ = 2658752377344. Its totient is φ = 316518134400.

The previous prime is 1100120331253. The next prime is 1100120331403. The reversal of 1100120331310 is 131330210011.

It is a super-2 number, since 2×11001203313102 (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 54941056 + ... + 54961075.

It is an arithmetic number, because the mean of its divisors is an integer number (41543005896).

Almost surely, 21100120331310 is an apocalyptic number.

1100120331310 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1100120331310 is an abundant number, since it is smaller than the sum of its proper divisors (1558632046034).

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

1100120331310 is a wasteful number, since it uses less digits than its factorization.

1100120331310 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 109902169.

The product of its (nonzero) digits is 54, while the sum is 16.

Adding to 1100120331310 its reverse (131330210011), we get a palindrome (1231450541321).

The spelling of 1100120331310 in words is "one trillion, one hundred billion, one hundred twenty million, three hundred thirty-one thousand, three hundred ten".

Divisors: 1 2 5 7 10 11 13 14 22 26 35 55 65 70 77 91 110 130 143 154 182 286 385 455 715 770 910 1001 1430 2002 5005 10010 109902131 219804262 549510655 769314917 1099021310 1208923441 1428727703 1538629834 2417846882 2857455406 3846574585 6044617205 7143638515 7693149170 8462464087 10001093921 12089234410 14287277030 15716004733 16924928174 20002187842 31432009466 42312320435 50005469605 78580023665 84624640870 100010939210 110012033131 157160047330 220024066262 550060165655 1100120331310