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12035253021 = 3112101463709
BaseRepresentation
bin10110011010101101…
…10110001100011101
31011001202110012101220
423031112312030131
5144122011044041
65310125123553
7604146651141
oct131526661435
934052405356
1012035253021
11511664a800
1223ba6b95b9
13119a5587bc
14822597221
154a68d5d66
hex2cd5b631d

12035253021 has 48 divisors (see below), whose sum is σ = 17876732160. Its totient is φ = 7196112000.

The previous prime is 12035253019. The next prime is 12035253023.

It is a happy number.

12035253021 is nontrivially palindromic in base 10.

It is an interprime number because it is at equal distance from previous prime (12035253019) and next prime (12035253023).

It is not a de Polignac number, because 12035253021 - 21 = 12035253019 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 12035252982 and 12035253000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12035253023) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 16974615 + ... + 16975323.

It is an arithmetic number, because the mean of its divisors is an integer number (372431920).

Almost surely, 212035253021 is an apocalyptic number.

12035253021 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

12035253021 is a deficient number, since it is larger than the sum of its proper divisors (5841479139).

12035253021 is a wasteful number, since it uses less digits than its factorization.

12035253021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1298 (or 1287 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 24.

The spelling of 12035253021 in words is "twelve billion, thirty-five million, two hundred fifty-three thousand, twenty-one".

Divisors: 1 3 11 33 101 121 303 363 463 709 1111 1389 2127 3333 5093 7799 12221 15279 23397 36663 46763 56023 71609 85789 140289 168069 214827 257367 328267 514393 787699 984801 1543179 2363097 3610937 5658323 8664689 10832811 16974969 25994067 33154967 39720307 99464901 119160921 364704637 1094113911 4011751007 12035253021