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1005510121 = 71121936151
BaseRepresentation
bin111011111011101…
…101110111101001
32121002001012120121
4323323231313221
54024402310441
6243435323241
733626460250
oct7373556751
92532035517
101005510121
11476647700
122408b0521
13130419205
1497783797
155d41ddd1
hex3beedde9

1005510121 has 24 divisors (see below), whose sum is σ = 1269871232. Its totient is φ = 779328000.

The previous prime is 1005510109. The next prime is 1005510131. The reversal of 1005510121 is 1210155001.

It is not a de Polignac number, because 1005510121 - 25 = 1005510089 is a prime.

It is a super-2 number, since 2×10055101212 = 2022101206866869282, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1005510095 and 1005510104.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1005510131) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 160396 + ... + 166546.

Almost surely, 21005510121 is an apocalyptic number.

1005510121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1005510121 is a deficient number, since it is larger than the sum of its proper divisors (264361111).

1005510121 is a wasteful number, since it uses less digits than its factorization.

1005510121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6373 (or 6362 counting only the distinct ones).

The product of its (nonzero) digits is 50, while the sum is 16.

The square root of 1005510121 is about 31709.7795798079. The cubic root of 1005510121 is about 1001.8333437965.

Adding to 1005510121 its reverse (1210155001), we get a palindrome (2215665122).

The spelling of 1005510121 in words is "one billion, five million, five hundred ten thousand, one hundred twenty-one".

Divisors: 1 7 11 77 121 193 847 1351 2123 6151 14861 23353 43057 67661 163471 473627 744271 1187143 5209897 8310001 13058573 91410011 143644303 1005510121