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13121331120 = 2432518224071
BaseRepresentation
bin11000011100001011…
…11001111110110000
31020212110002200110200
430032011321332300
5203333030043440
610010003355200
7643105321452
oct141605717660
936773080420
1013121331120
115623716307
122662382b00
131311573771
148c69102d2
1551be1bc30
hex30e179fb0

13121331120 has 60 divisors (see below), whose sum is σ = 44065806096. Its totient is φ = 3499021440.

The previous prime is 13121331101. The next prime is 13121331149. The reversal of 13121331120 is 2113312131.

13121331120 is a `hidden beast` number, since 1 + 312 + 1 + 331 + 1 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (60).

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

It is a junction number, because it is equal to n+sod(n) for n = 13121331093 and 13121331102.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 9111316 + ... + 9112755.

Almost surely, 213121331120 is an apocalyptic number.

13121331120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13121331120 is an abundant number, since it is smaller than the sum of its proper divisors (30944474976).

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

13121331120 is a wasteful number, since it uses less digits than its factorization.

13121331120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18224090 (or 18224081 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 13121331120 its reverse (2113312131), we get a palindrome (15234643251).

The spelling of 13121331120 in words is "thirteen billion, one hundred twenty-one million, three hundred thirty-one thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 72 80 90 120 144 180 240 360 720 18224071 36448142 54672213 72896284 91120355 109344426 145792568 164016639 182240710 218688852 273361065 291585136 328033278 364481420 437377704 546722130 656066556 728962840 820083195 874755408 1093444260 1312133112 1457925680 1640166390 2186888520 2624266224 3280332780 4373777040 6560665560 13121331120