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1020141312 = 2831969911
BaseRepresentation
bin111100110011100…
…001111100000000
32122002120112210120
4330303201330000
54042124010222
6245121100240
734165025631
oct7463417400
92562515716
101020141312
114839302a3
12245787680
1313346ca18
14996b1888
155e85e15c
hex3cce1f00

1020141312 has 72 divisors (see below), whose sum is σ = 2858002560. Its totient is φ = 322145280.

The previous prime is 1020141307. The next prime is 1020141349. The reversal of 1020141312 is 2131410201.

It is a zygodrome in base 2.

It is a junction number, because it is equal to n+sod(n) for n = 1020141291 and 1020141300.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 20364 + ... + 49547.

It is an arithmetic number, because the mean of its divisors is an integer number (39694480).

Almost surely, 21020141312 is an apocalyptic number.

1020141312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1020141312 is an abundant number, since it is smaller than the sum of its proper divisors (1837861248).

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

1020141312 is an equidigital number, since it uses as much as digits as its factorization.

1020141312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 69949 (or 69935 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

The square root of 1020141312 is about 31939.6510938989. The cubic root of 1020141312 is about 1006.6691936450.

Adding to 1020141312 its reverse (2131410201), we get a palindrome (3151551513).

The spelling of 1020141312 in words is "one billion, twenty million, one hundred forty-one thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 19 24 32 38 48 57 64 76 96 114 128 152 192 228 256 304 384 456 608 768 912 1216 1824 2432 3648 4864 7296 14592 69911 139822 209733 279644 419466 559288 838932 1118576 1328309 1677864 2237152 2656618 3355728 3984927 4474304 5313236 6711456 7969854 8948608 10626472 13422912 15939708 17897216 21252944 26845824 31879416 42505888 53691648 63758832 85011776 127517664 170023552 255035328 340047104 510070656 1020141312