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22103112132 = 22326768313417
BaseRepresentation
bin10100100101011100…
…101011100111000100
32010001101220102201200
4110211130223213010
5330231344042012
614053134222500
71411510232103
oct244534534704
963041812650
1022103112132
1194126a3322
12434a354a30
13211331519a
1410d974203a
158956ea3dc
hex52572b9c4

22103112132 has 72 divisors (see below), whose sum is σ = 56792919456. Its totient is φ = 7246571904.

The previous prime is 22103112113. The next prime is 22103112181. The reversal of 22103112132 is 23121130122.

22103112132 is a `hidden beast` number, since 221 + 0 + 311 + 2 + 132 = 666.

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

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 23 ways as a sum of consecutive naturals, for example, 1640688 + ... + 1654104.

It is an arithmetic number, because the mean of its divisors is an integer number (788790548).

Almost surely, 222103112132 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 22103112132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28396459728).

22103112132 is an abundant number, since it is smaller than the sum of its proper divisors (34689807324).

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

22103112132 is a wasteful number, since it uses less digits than its factorization.

22103112132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14177 (or 14172 counting only the distinct ones).

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

Adding to 22103112132 its reverse (23121130122), we get a palindrome (45224242254).

The spelling of 22103112132 in words is "twenty-two billion, one hundred three million, one hundred twelve thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 36 67 134 201 268 402 603 683 804 1206 1366 2049 2412 2732 4098 6147 8196 12294 13417 24588 26834 40251 45761 53668 80502 91522 120753 137283 161004 183044 241506 274566 411849 483012 549132 823698 898939 1647396 1797878 2696817 3595756 5393634 8090451 9163811 10787268 16180902 18327622 27491433 32361804 36655244 54982866 82474299 109965732 164948598 329897196 613975337 1227950674 1841926011 2455901348 3683852022 5525778033 7367704044 11051556066 22103112132