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1930011831 = 321121799901
BaseRepresentation
bin111001100001001…
…1010010010110111
311222111122202111200
41303002122102313
512423040334311
6515302503543
765553554436
oct16302322267
94874582450
101930011831
11900494500
1245a434bb3
13249b11047
1414447b11d
15b468a556
hex7309a4b7

1930011831 has 36 divisors (see below), whose sum is σ = 3081700440. Its totient is φ = 1163052000.

The previous prime is 1930011827. The next prime is 1930011841. The reversal of 1930011831 is 1381100391.

It is a happy number.

1930011831 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 1930011831 - 22 = 1930011827 is a prime.

It is a super-2 number, since 2×19300118312 = 7449891335599945122, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1930011795 and 1930011804.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1930011841) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 189981 + ... + 199881.

It is an arithmetic number, because the mean of its divisors is an integer number (85602790).

Almost surely, 21930011831 is an apocalyptic number.

1930011831 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

1930011831 is a deficient number, since it is larger than the sum of its proper divisors (1151688609).

1930011831 is a wasteful number, since it uses less digits than its factorization.

1930011831 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10108 (or 10094 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 27.

The square root of 1930011831 is about 43931.8999247699. The cubic root of 1930011831 is about 1245.0496114164.

The spelling of 1930011831 in words is "one billion, nine hundred thirty million, eleven thousand, eight hundred thirty-one".

Divisors: 1 3 9 11 33 99 121 179 363 537 1089 1611 1969 5907 9901 17721 21659 29703 64977 89109 108911 194931 326733 980199 1198021 1772279 3594063 5316837 10782189 15950511 19495069 58485207 175455621 214445759 643337277 1930011831