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1010010312 = 233237379133
BaseRepresentation
bin111100001100111…
…000100011001000
32121101111211200100
4330030320203020
54032030312222
6244120005400
734012642323
oct7414704310
92541454610
101010010312
11479140773
12242300860
1313133364c
14981d57ba
155da0c4ac
hex3c3388c8

1010010312 has 48 divisors (see below), whose sum is σ = 2809382940. Its totient is φ = 327570048.

The previous prime is 1010010311. The next prime is 1010010361. The reversal of 1010010312 is 2130100101.

It can be written as a sum of positive squares in 2 ways, for example, as 755480196 + 254530116 = 27486^2 + 15954^2 .

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 1010010294 and 1010010303.

It is not an unprimeable number, because it can be changed into a prime (1010010311) 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 11 ways as a sum of consecutive naturals, for example, 186903 + ... + 192230.

Almost surely, 21010010312 is an apocalyptic number.

1010010312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1010010312 is an abundant number, since it is smaller than the sum of its proper divisors (1799372628).

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

1010010312 is a wasteful number, since it uses less digits than its factorization.

1010010312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 379182 (or 379175 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 9.

The square root of 1010010312 is about 31780.6594015920. The cubic root of 1010010312 is about 1003.3256981375.

Adding to 1010010312 its reverse (2130100101), we get a palindrome (3140110413).

The spelling of 1010010312 in words is "one billion, ten million, ten thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 37 72 74 111 148 222 296 333 444 666 888 1332 2664 379133 758266 1137399 1516532 2274798 3033064 3412197 4549596 6824394 9099192 13648788 14027921 27297576 28055842 42083763 56111684 84167526 112223368 126251289 168335052 252502578 336670104 505005156 1010010312