Search a number
-
+
1021003312 = 24716355927
BaseRepresentation
bin111100110110110…
…100011000110000
32122011012100020111
4330312310120300
54042334101222
6245151351104
734205246020
oct7466643060
92564170214
101021003312
1148436999a
12245b22494
131336b2194
1499857a80
155e97e777
hex3cdb4630

1021003312 has 40 divisors (see below), whose sum is σ = 2274703616. Its totient is φ = 434880576.

The previous prime is 1021003303. The next prime is 1021003337. The reversal of 1021003312 is 2133001201.

1021003312 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×10210033122 = 2084895526229938688, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1021003292 and 1021003301.

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, 9708 + ... + 46219.

Almost surely, 21021003312 is an apocalyptic number.

It is an amenable number.

1021003312 is an abundant number, since it is smaller than the sum of its proper divisors (1253700304).

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

1021003312 is a wasteful number, since it uses less digits than its factorization.

1021003312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56105 (or 56099 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 13.

The square root of 1021003312 is about 31953.1424432715. The cubic root of 1021003312 is about 1006.9526525930.

Adding to 1021003312 its reverse (2133001201), we get a palindrome (3154004513).

The spelling of 1021003312 in words is "one billion, twenty-one million, three thousand, three hundred twelve".

Divisors: 1 2 4 7 8 14 16 28 56 112 163 326 652 1141 1304 2282 2608 4564 9128 18256 55927 111854 223708 391489 447416 782978 894832 1565956 3131912 6263824 9116101 18232202 36464404 63812707 72928808 127625414 145857616 255250828 510501656 1021003312