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1231314432 = 2931017937
BaseRepresentation
bin100100101100100…
…0101111000000000
310011210221020212020
41021121011320000
510010204030212
6322103201440
742340666665
oct11131057000
93153836766
101231314432
11582054837
122a4446280
1316813982a
14b9761a6c
1573173d8c
hex49645e00

1231314432 has 80 divisors (see below), whose sum is σ = 3313194192. Its totient is φ = 406323200.

The previous prime is 1231314421. The next prime is 1231314517. The reversal of 1231314432 is 2344131321.

It is a happy number.

It is a super-2 number, since 2×12313144322 = 3032270460902965248, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 151168 + ... + 159104.

Almost surely, 21231314432 is an apocalyptic number.

1231314432 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1231314432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1656597096).

1231314432 is an abundant number, since it is smaller than the sum of its proper divisors (2081879760).

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

1231314432 is an equidigital number, since it uses as much as digits as its factorization.

1231314432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8059 (or 8043 counting only the distinct ones).

The product of its digits is 1728, while the sum is 24.

The square root of 1231314432 is about 35090.0902250194. The cubic root of 1231314432 is about 1071.8227968774.

Adding to 1231314432 its reverse (2344131321), we get a palindrome (3575445753).

The spelling of 1231314432 in words is "one billion, two hundred thirty-one million, three hundred fourteen thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 101 128 192 202 256 303 384 404 512 606 768 808 1212 1536 1616 2424 3232 4848 6464 7937 9696 12928 15874 19392 23811 25856 31748 38784 47622 51712 63496 77568 95244 126992 155136 190488 253984 380976 507968 761952 801637 1015936 1523904 1603274 2031872 2404911 3047808 3206548 4063744 4809822 6095616 6413096 9619644 12191232 12826192 19239288 25652384 38478576 51304768 76957152 102609536 153914304 205219072 307828608 410438144 615657216 1231314432