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1014321312 = 25331173983
BaseRepresentation
bin111100011101010…
…101000010100000
32121200121212021000
4330131111002200
54034131240222
6244352232000
734064405664
oct7435250240
92550555230
101014321312
11480615684
1224383b600
131321b2934
14989d88a4
155e0ae9ac
hex3c7550a0

1014321312 has 48 divisors (see below), whose sum is σ = 2958439680. Its totient is φ = 338106816.

The previous prime is 1014321311. The next prime is 1014321331. The reversal of 1014321312 is 2131234101.

1014321312 is a `hidden beast` number, since 101 + 432 + 131 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (48).

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

It is not an unprimeable number, because it can be changed into a prime (1014321311) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 586128 + ... + 587855.

It is an arithmetic number, because the mean of its divisors is an integer number (61634160).

Almost surely, 21014321312 is an apocalyptic number.

1014321312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1014321312 is an abundant number, since it is smaller than the sum of its proper divisors (1944118368).

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

1014321312 is a wasteful number, since it uses less digits than its factorization.

1014321312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1174002 (or 1173988 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 1014321312 is about 31848.4114517506. The cubic root of 1014321312 is about 1004.7511613820.

Adding to 1014321312 its reverse (2131234101), we get a palindrome (3145555413).

The spelling of 1014321312 in words is "one billion, fourteen million, three hundred twenty-one thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 96 108 144 216 288 432 864 1173983 2347966 3521949 4695932 7043898 9391864 10565847 14087796 18783728 21131694 28175592 31697541 37567456 42263388 56351184 63395082 84526776 112702368 126790164 169053552 253580328 338107104 507160656 1014321312