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11130101001 = 337347911789
BaseRepresentation
bin10100101110110011…
…11101110100001001
31001201200020201021000
422113121331310021
5140243301213001
65040232405213
7542546204025
oct122731756411
931650221230
1011130101001
1147a1719688
1221a7546809
131084b7a0a6
14778299385
154521dca86
hex29767dd09

11130101001 has 32 divisors (see below), whose sum is σ = 16751232000. Its totient is φ = 7302524544.

The previous prime is 11130100979. The next prime is 11130101009. The reversal of 11130101001 is 10010103111.

It is not a de Polignac number, because 11130101001 - 218 = 11129838857 is a prime.

It is a super-2 number, since 2×111301010012 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is not an unprimeable number, because it can be changed into a prime (11130101009) 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, 938215 + ... + 950003.

It is an arithmetic number, because the mean of its divisors is an integer number (523476000).

Almost surely, 211130101001 is an apocalyptic number.

It is an amenable number.

11130101001 is a deficient number, since it is larger than the sum of its proper divisors (5621130999).

11130101001 is a wasteful number, since it uses less digits than its factorization.

11130101001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12350 (or 12344 counting only the distinct ones).

The product of its (nonzero) digits is 3, while the sum is 9.

Adding to 11130101001 its reverse (10010103111), we get a palindrome (21140204112).

The spelling of 11130101001 in words is "eleven billion, one hundred thirty million, one hundred one thousand, one".

Divisors: 1 3 9 27 73 219 479 657 1437 1971 4311 11789 12933 34967 35367 104901 106101 314703 318303 860597 944109 2581791 5646931 7745373 16940793 23236119 50822379 152467137 412225963 1236677889 3710033667 11130101001