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13210122312 = 23322333723671
BaseRepresentation
bin11000100110110001…
…00111100001001000
31021002122011202002100
430103120213201020
5204023242403222
610022454433400
7645234121062
oct142330474110
937078152070
1013210122312
115669851462
122688062860
131326a9142a
148d4624732
15524b0a4ac
hex313627848

13210122312 has 96 divisors (see below), whose sum is σ = 37445316480. Its totient is φ = 4199247360.

The previous prime is 13210122271. The next prime is 13210122313. The reversal of 13210122312 is 21322101231.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (13210122313) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 546237 + ... + 569907.

It is an arithmetic number, because the mean of its divisors is an integer number (390055380).

Almost surely, 213210122312 is an apocalyptic number.

13210122312 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 13210122312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18722658240).

13210122312 is an abundant number, since it is smaller than the sum of its proper divisors (24235194168).

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

13210122312 is a wasteful number, since it uses less digits than its factorization.

13210122312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24043 (or 24036 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 13210122312 its reverse (21322101231), we get a palindrome (34532223543).

The spelling of 13210122312 in words is "thirteen billion, two hundred ten million, one hundred twenty-two thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 18 23 24 36 46 69 72 92 138 184 207 276 337 414 552 674 828 1011 1348 1656 2022 2696 3033 4044 6066 7751 8088 12132 15502 23253 23671 24264 31004 46506 47342 62008 69759 71013 93012 94684 139518 142026 186024 189368 213039 279036 284052 426078 544433 558072 568104 852156 1088866 1633299 1704312 2177732 3266598 4355464 4899897 6533196 7977127 9799794 13066392 15954254 19599588 23931381 31908508 39199176 47862762 63817016 71794143 95725524 143588286 183473921 191451048 287176572 366947842 550421763 574353144 733895684 1100843526 1467791368 1651265289 2201687052 3302530578 4403374104 6605061156 13210122312