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12701110320 = 2432517640431
BaseRepresentation
bin10111101010000101…
…11001000000110000
31012210011101020220100
423311002321000300
5202002441012240
65500152512400
7626513441103
oct136502710060
935704336810
1012701110320
11542849a198
1225656ab700
1312754a23c2
14886ba473a
154e50b1e30
hex2f50b9030

12701110320 has 60 divisors (see below), whose sum is σ = 42654564576. Its totient is φ = 3386962560.

The previous prime is 12701110307. The next prime is 12701110321. The reversal of 12701110320 is 2301110721.

It is a happy number.

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

It is a super-2 number, since 2×127011103202 (a number of 21 digits) contains 22 as substring.

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 = 12701110293 and 12701110302.

It is not an unprimeable number, because it can be changed into a prime (12701110321) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 8819496 + ... + 8820935.

Almost surely, 212701110320 is an apocalyptic number.

12701110320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12701110320 is an abundant number, since it is smaller than the sum of its proper divisors (29953454256).

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

12701110320 is a wasteful number, since it uses less digits than its factorization.

12701110320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17640450 (or 17640441 counting only the distinct ones).

The product of its (nonzero) digits is 84, while the sum is 18.

The spelling of 12701110320 in words is "twelve billion, seven hundred one million, one hundred ten thousand, three 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 17640431 35280862 52921293 70561724 88202155 105842586 141123448 158763879 176404310 211685172 264606465 282246896 317527758 352808620 423370344 529212930 635055516 705617240 793819395 846740688 1058425860 1270111032 1411234480 1587638790 2116851720 2540222064 3175277580 4233703440 6350555160 12701110320