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10132444212 = 22311294336113
BaseRepresentation
bin10010110111111000…
…01101010000110100
3222011010222111102120
421123330031100310
5131222401203322
64353233235540
7506043232452
oct113374152064
928133874376
1010132444212
11432a556340
121b69402bb0
13c56280627
146c199b9d2
153e4820a5c
hex25bf0d434

10132444212 has 96 divisors (see below), whose sum is σ = 26747038080. Its totient is φ = 2957230080.

The previous prime is 10132444207. The next prime is 10132444213. The reversal of 10132444212 is 21244423101.

10132444212 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10132444213) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 1654468 + ... + 1660580.

It is an arithmetic number, because the mean of its divisors is an integer number (278614980).

Almost surely, 210132444212 is an apocalyptic number.

10132444212 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10132444212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13373519040).

10132444212 is an abundant number, since it is smaller than the sum of its proper divisors (16614593868).

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

10132444212 is a wasteful number, since it uses less digits than its factorization.

10132444212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6593 (or 6591 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 10132444212 its reverse (21244423101), we get a palindrome (31376867313).

The spelling of 10132444212 in words is "ten billion, one hundred thirty-two million, four hundred forty-four thousand, two hundred twelve".

Divisors: 1 2 3 4 6 11 12 22 29 33 44 58 66 87 116 132 174 319 348 433 638 866 957 1276 1299 1732 1914 2598 3828 4763 5196 6113 9526 12226 12557 14289 18339 19052 24452 25114 28578 36678 37671 50228 57156 67243 73356 75342 134486 138127 150684 177277 201729 268972 276254 354554 403458 414381 531831 552508 709108 806916 828762 1063662 1657524 1950047 2127324 2646929 3900094 5293858 5850141 7800188 7940787 10587716 11700282 15881574 23400564 29116219 31763148 58232438 76760941 87348657 116464876 153521882 174697314 230282823 307043764 349394628 460565646 844370351 921131292 1688740702 2533111053 3377481404 5066222106 10132444212