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112214331424 = 25131527717657
BaseRepresentation
bin110100010000001111…
…1101101000000100000
3101201122102001200001001
41220200133231000200
53314303332101144
6123314530321344
711051530036126
oct1504037550040
9351572050031
10112214331424
1143654079088
12198b8429254
13a7741a87a0
145607311916
152dbb6e5bd4
hex1a207ed020

112214331424 has 48 divisors (see below), whose sum is σ = 237945010968. Its totient is φ = 51784906752.

The previous prime is 112214331421. The next prime is 112214331533. The reversal of 112214331424 is 424133412211.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 27456490000 + 84757841424 = 165700^2 + 291132^2 .

It is a super-3 number, since 3×1122143314243 (a number of 34 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 112214331392 and 112214331401.

It is not an unprimeable number, because it can be changed into a prime (112214331421) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6346404 + ... + 6364060.

Almost surely, 2112214331424 is an apocalyptic number.

It is an amenable number.

112214331424 is an abundant number, since it is smaller than the sum of its proper divisors (125730679544).

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

112214331424 is a wasteful number, since it uses less digits than its factorization.

112214331424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32957 (or 32949 counting only the distinct ones).

The product of its digits is 4608, while the sum is 28.

Adding to 112214331424 its reverse (424133412211), we get a palindrome (536347743635).

The spelling of 112214331424 in words is "one hundred twelve billion, two hundred fourteen million, three hundred thirty-one thousand, four hundred twenty-four".

Divisors: 1 2 4 8 13 16 26 32 52 104 208 416 15277 17657 30554 35314 61108 70628 122216 141256 198601 229541 244432 282512 397202 459082 488864 565024 794404 918164 1588808 1836328 3177616 3672656 6355232 7345312 269745989 539491978 1078983956 2157967912 3506697857 4315935824 7013395714 8631871648 14026791428 28053582856 56107165712 112214331424