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1002132021 = 311181167777
BaseRepresentation
bin111011101110110…
…101001000110101
32120211200120200210
4323232311020311
54023021211041
6243235100033
733555660462
oct7356651065
92524616623
101002132021
1147474a690
1223b741619
1312c805737
1497144669
155cea3016
hex3bbb5235

1002132021 has 16 divisors (see below), whose sum is σ = 1465708608. Its totient is φ = 603993600.

The previous prime is 1002131971. The next prime is 1002132023. The reversal of 1002132021 is 1202312001.

It is not a de Polignac number, because 1002132021 - 215 = 1002099253 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1002131988 and 1002132006.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1002132023) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 77916 + ... + 89861.

It is an arithmetic number, because the mean of its divisors is an integer number (91606788).

Almost surely, 21002132021 is an apocalyptic number.

1002132021 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1002132021 is a deficient number, since it is larger than the sum of its proper divisors (463576587).

1002132021 is a wasteful number, since it uses less digits than its factorization.

1002132021 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 167972.

The product of its (nonzero) digits is 24, while the sum is 12.

The square root of 1002132021 is about 31656.4688649887. The cubic root of 1002132021 is about 1000.7101692070.

Adding to 1002132021 its reverse (1202312001), we get a palindrome (2204444022).

The spelling of 1002132021 in words is "one billion, two million, one hundred thirty-two thousand, twenty-one".

Divisors: 1 3 11 33 181 543 1991 5973 167777 503331 1845547 5536641 30367637 91102911 334044007 1002132021