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21131130032 = 2423283331613
BaseRepresentation
bin10011101011100000…
…110111010010110000
32000112122221121221122
4103223200313102300
5321234032130112
613412453241412
71345435433045
oct235340672260
960478847848
1021131130032
118a63a76831
124118933268
131cb9b37a4c
1410466091cc
1583a200872
hex4eb8374b0

21131130032 has 80 divisors (see below), whose sum is σ = 43072267008. Its totient is φ = 10023678720.

The previous prime is 21131130029. The next prime is 21131130049. The reversal of 21131130032 is 23003113112.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 34471358 + ... + 34471970.

Almost surely, 221131130032 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21131130032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21536133504).

21131130032 is an abundant number, since it is smaller than the sum of its proper divisors (21941136976).

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

21131130032 is a wasteful number, since it uses less digits than its factorization.

21131130032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1258 (or 1252 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 17.

Adding to 21131130032 its reverse (23003113112), we get a palindrome (44134243144).

The spelling of 21131130032 in words is "twenty-one billion, one hundred thirty-one million, one hundred thirty thousand, thirty-two".

Divisors: 1 2 4 8 16 23 46 92 184 283 331 368 566 613 662 1132 1226 1324 2264 2452 2648 4528 4904 5296 6509 7613 9808 13018 14099 15226 26036 28198 30452 52072 56396 60904 93673 104144 112792 121808 173479 187346 202903 225584 346958 374692 405806 693916 749384 811612 1387832 1498768 1623224 2154479 2775664 3246448 3990017 4308958 4666769 7980034 8617916 9333538 15960068 17235832 18667076 31920136 34471664 37334152 57421549 63840272 74668304 114843098 229686196 459372392 918744784 1320695627 2641391254 5282782508 10565565016 21131130032