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1002132312 = 233127932647
BaseRepresentation
bin111011101110110…
…101001101011000
32120211200121002120
4323232311031120
54023021213222
6243235101240
733555661356
oct7356651530
92524617076
101002132312
1147474a925
1223b741820
1312c8058cc
14971447d6
155cea315c
hex3bbb5358

1002132312 has 32 divisors (see below), whose sum is σ = 2507366400. Its totient is φ = 333772704.

The previous prime is 1002132311. The next prime is 1002132343. The reversal of 1002132312 is 2132312001.

It is a junction number, because it is equal to n+sod(n) for n = 1002132291 and 1002132300.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1002132311) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 14373 + ... + 47019.

It is an arithmetic number, because the mean of its divisors is an integer number (78355200).

Almost surely, 21002132312 is an apocalyptic number.

1002132312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1002132312 is an abundant number, since it is smaller than the sum of its proper divisors (1505234088).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1002132312 is a wasteful number, since it uses less digits than its factorization.

1002132312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33935 (or 33931 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

The square root of 1002132312 is about 31656.4734612054. The cubic root of 1002132312 is about 1000.7102660693.

Adding to 1002132312 its reverse (2132312001), we get a palindrome (3134444313).

The spelling of 1002132312 in words is "one billion, two million, one hundred thirty-two thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 12 24 1279 2558 3837 5116 7674 10232 15348 30696 32647 65294 97941 130588 195882 261176 391764 783528 41755513 83511026 125266539 167022052 250533078 334044104 501066156 1002132312