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11132110221320 = 2351123174194283
BaseRepresentation
bin1010000111111110010101…
…1110011011000000001000
31110102012220220100021101102
42201333211132123000020
52424342030204040240
635402004300040532
72226161032425404
oct241774536330010
943365826307342
1011132110221320
113602113008600
1212b9589233148
136299a4554c4a
142a6b22dcc104
15144889903815
hexa1fe579b008

11132110221320 has 96 divisors (see below), whose sum is σ = 28419378543360. Its totient is φ = 3917458089600.

The previous prime is 11132110221293. The next prime is 11132110221347. The reversal of 11132110221320 is 2312201123111.

It is an interprime number because it is at equal distance from previous prime (11132110221293) and next prime (11132110221347).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 11132110221292 and 11132110221301.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 36947102 + ... + 37247181.

It is an arithmetic number, because the mean of its divisors is an integer number (296035193160).

Almost surely, 211132110221320 is an apocalyptic number.

11132110221320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11132110221320 is an abundant number, since it is smaller than the sum of its proper divisors (17287268322040).

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

11132110221320 is a wasteful number, since it uses less digits than its factorization.

11132110221320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74194347 (or 74194332 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 20.

Adding to 11132110221320 its reverse (2312201123111), we get a palindrome (13444311344431).

The spelling of 11132110221320 in words is "eleven trillion, one hundred thirty-two billion, one hundred ten million, two hundred twenty-one thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 11 20 22 31 40 44 55 62 88 110 121 124 155 220 242 248 310 341 440 484 605 620 682 968 1210 1240 1364 1705 2420 2728 3410 3751 4840 6820 7502 13640 15004 18755 30008 37510 75020 150040 74194283 148388566 296777132 370971415 593554264 741942830 816137113 1483885660 1632274226 2300022773 2967771320 3264548452 4080685565 4600045546 6529096904 8161371130 8977508243 9200091092 11500113865 16322742260 17955016486 18400182184 23000227730 25300250503 32645484520 35910032972 44887541215 46000455460 50600501006 71820065944 89775082430 92000910920 101201002012 126501252515 179550164860 202402004024 253002505030 278302755533 359100329720 506005010060 556605511066 1012010020120 1113211022132 1391513777665 2226422044264 2783027555330 5566055110660 11132110221320