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13011123120 = 243554213013
BaseRepresentation
bin11000001111000010…
…11111101110110000
31020120202201112111220
430013201133232300
5203121321414440
65551025305040
7640266502362
oct140741375660
936522645456
1013011123120
115577492416
122631495180
1312c4797828
148b6022d32
155123ec8d0
hex30785fbb0

13011123120 has 40 divisors (see below), whose sum is σ = 40334482416. Its totient is φ = 3469632768.

The previous prime is 13011123071. The next prime is 13011123143. The reversal of 13011123120 is 2132111031.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-3 number, since 3×130111231203 (a number of 31 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 13011123120.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 27106267 + ... + 27106746.

Almost surely, 213011123120 is an apocalyptic number.

13011123120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13011123120 is an abundant number, since it is smaller than the sum of its proper divisors (27323359296).

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

13011123120 is a wasteful number, since it uses less digits than its factorization.

13011123120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 54213029 (or 54213023 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 15.

Adding to 13011123120 its reverse (2132111031), we get a palindrome (15143234151).

The spelling of 13011123120 in words is "thirteen billion, eleven million, one hundred twenty-three thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 54213013 108426026 162639039 216852052 271065065 325278078 433704104 542130130 650556156 813195195 867408208 1084260260 1301112312 1626390390 2168520520 2602224624 3252780780 4337041040 6505561560 13011123120