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1002135211 = 7311265607
BaseRepresentation
bin111011101110110…
…101111010101011
32120211200202001221
4323232311322223
54023021311321
6243235122511
733556003000
oct7356657253
92524622057
101002135211
11474752020
1223b743437
1312c80701c
14971458a7
155cea3e41
hex3bbb5eab

1002135211 has 16 divisors (see below), whose sum is σ = 1274918400. Its totient is φ = 780881640.

The previous prime is 1002135191. The next prime is 1002135229. The reversal of 1002135211 is 1125312001.

It is not a de Polignac number, because 1002135211 - 27 = 1002135083 is a prime.

It is a super-2 number, since 2×10021352112 = 2008549962252029042, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1002135271) 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, 129031 + ... + 136576.

It is an arithmetic number, because the mean of its divisors is an integer number (79682400).

Almost surely, 21002135211 is an apocalyptic number.

1002135211 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

1002135211 is a deficient number, since it is larger than the sum of its proper divisors (272783189).

1002135211 is an equidigital number, since it uses as much as digits as its factorization.

1002135211 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 265639 (or 265625 counting only the distinct ones).

The product of its (nonzero) digits is 60, while the sum is 16.

The square root of 1002135211 is about 31656.5192495953. The cubic root of 1002135211 is about 1000.7112310305.

Adding to 1002135211 its reverse (1125312001), we get a palindrome (2127447212).

The spelling of 1002135211 in words is "one billion, two million, one hundred thirty-five thousand, two hundred eleven".

Divisors: 1 7 11 49 77 343 539 3773 265607 1859249 2921677 13014743 20451739 91103201 143162173 1002135211