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21322103130312 = 23329372111392221
BaseRepresentation
bin1001101100100011100000…
…11000100000100011001000
32210111101002000202022112220
410312101300120200203020
510243320131400132222
6113203123340334040
74330320410142405
oct466216030404310
983441060668486
1021322103130312
116880720395176
122484449244320
13bb88866cb6ba
14539dd11512ac
1526e9844abb5c
hex1364706208c8

21322103130312 has 128 divisors (see below), whose sum is σ = 56660703897600. Its totient is φ = 6673638988800.

The previous prime is 21322103130311. The next prime is 21322103130413. The reversal of 21322103130312 is 21303130122312.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (21322103130311) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 54166362 + ... + 54558582.

It is an arithmetic number, because the mean of its divisors is an integer number (442661749200).

Almost surely, 221322103130312 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 21322103130312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28330351948800).

21322103130312 is an abundant number, since it is smaller than the sum of its proper divisors (35338600767288).

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

21322103130312 is a wasteful number, since it uses less digits than its factorization.

21322103130312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 394407 (or 394403 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 24.

Adding to 21322103130312 its reverse (21303130122312), we get a palindrome (42625233252624).

The spelling of 21322103130312 in words is "twenty-one trillion, three hundred twenty-two billion, one hundred three million, one hundred thirty thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 12 24 29 37 58 74 87 111 116 148 174 222 232 296 348 444 696 888 1073 2111 2146 3219 4222 4292 6333 6438 8444 8584 12666 12876 16888 25332 25752 50664 61219 78107 122438 156214 183657 234321 244876 312428 367314 392221 468642 489752 624856 734628 784442 937284 1176663 1469256 1568884 1874568 2265103 2353326 3137768 4530206 4706652 6795309 9060412 9413304 11374409 13590618 14512177 18120824 22748818 27181236 29024354 34123227 43536531 45497636 54362472 58048708 68246454 87073062 90995272 116097416 136492908 174146124 272985816 348292248 420853133 827978531 841706266 1262559399 1655957062 1683412532 2483935593 2525118798 3311914124 3366825064 4967871186 5050237596 6623828248 9935742372 10100475192 19871484744 24011377399 30635205647 48022754798 61270411294 72034132197 91905616941 96045509596 122540822588 144068264394 183811233882 192091019192 245081645176 288136528788 367622467764 576273057576 735244935528 888420963763 1776841927526 2665262891289 3553683855052 5330525782578 7107367710104 10661051565156 21322103130312