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1101022013 = 72131990971
BaseRepresentation
bin100000110100000…
…0100001100111101
32211201202201021002
41001220010030331
54223330201023
6301130420045
736166350500
oct10150041475
92751681232
101101022013
11515553153
12268891625
1314714ac20
14a6327137
15669d8b28
hex41a0433d

1101022013 has 24 divisors (see below), whose sum is σ = 1451913120. Its totient is φ = 825279840.

The previous prime is 1101021979. The next prime is 1101022049. The reversal of 1101022013 is 3102201011.

It is not a de Polignac number, because 1101022013 - 226 = 1033913149 is a prime.

It is a super-2 number, since 2×11010220132 = 2424498946221144338, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1101021985 and 1101022003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1101022313) 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, 33383 + ... + 57588.

It is an arithmetic number, because the mean of its divisors is an integer number (60496380).

Almost surely, 21101022013 is an apocalyptic number.

1101022013 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

1101022013 is a deficient number, since it is larger than the sum of its proper divisors (350891107).

1101022013 is a wasteful number, since it uses less digits than its factorization.

1101022013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 91017 (or 91010 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 11.

The square root of 1101022013 is about 33181.6517521355. The cubic root of 1101022013 is about 1032.5997145868.

Adding to 1101022013 its reverse (3102201011), we get a palindrome (4203223024).

The spelling of 1101022013 in words is "one billion, one hundred one million, twenty-two thousand, thirteen".

Divisors: 1 7 13 19 49 91 133 247 637 931 1729 12103 90971 636797 1182623 1728449 4457579 8278361 12099143 22469837 57948527 84694001 157288859 1101022013