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2131021011 = 371274191907
BaseRepresentation
bin111111100000100…
…1100110011010011
312111111220002021010
41333001030303103
513331020133021
6551243102003
7103544244150
oct17701146323
95444802233
102131021011
119a39a6699
124b5811903
1327c65c7a2
14163043227
15c7143976
hex7f04ccd3

2131021011 has 32 divisors (see below), whose sum is σ = 3282370560. Its totient is φ = 1204622496.

The previous prime is 2131020977. The next prime is 2131021049. The reversal of 2131021011 is 1101201312.

It is not a de Polignac number, because 2131021011 - 210 = 2131019987 is a prime.

It is not an unprimeable number, because it can be changed into a prime (2131021411) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1116520 + ... + 1118426.

It is an arithmetic number, because the mean of its divisors is an integer number (102574080).

Almost surely, 22131021011 is an apocalyptic number.

2131021011 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

2131021011 is a deficient number, since it is larger than the sum of its proper divisors (1151349549).

2131021011 is a wasteful number, since it uses less digits than its factorization.

2131021011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2463.

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

The square root of 2131021011 is about 46162.9831250105. The cubic root of 2131021011 is about 1286.8539024400.

Adding to 2131021011 its reverse (1101201312), we get a palindrome (3232222323).

The spelling of 2131021011 in words is "two billion, one hundred thirty-one million, twenty-one thousand, eleven".

Divisors: 1 3 7 21 127 381 419 889 1257 1907 2667 2933 5721 8799 13349 40047 53213 159639 242189 372491 726567 799033 1117473 1695323 2397099 5085969 5593231 16779693 101477191 304431573 710340337 2131021011