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1010012313312 = 25335919813487
BaseRepresentation
bin11101011001010010110…
…11001101011011100000
310120120000111100122022000
432230221123031123200
5113022001123011222
62051554313044000
7132654022003602
oct16545133153340
93516014318260
101010012313312
1135a3866900a2
121438b70b6600
13743226a77a2
1436c56093172
151b4157579ac
hexeb296cd6e0

1010012313312 has 96 divisors (see below), whose sum is σ = 2995799385600. Its totient is φ = 330964470144.

The previous prime is 1010012313311. The next prime is 1010012313379. The reversal of 1010012313312 is 2133132100101.

1010012313312 is a `hidden beast` number, since 1 + 0 + 100 + 1 + 231 + 331 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1010012313311) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9855768 + ... + 9957719.

It is an arithmetic number, because the mean of its divisors is an integer number (31206243600).

Almost surely, 21010012313312 is an apocalyptic number.

1010012313312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1010012313312 is an abundant number, since it is smaller than the sum of its proper divisors (1985787072288).

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

1010012313312 is a wasteful number, since it uses less digits than its factorization.

1010012313312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19813565 (or 19813551 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 1010012313312 its reverse (2133132100101), we get a palindrome (3143144413413).

The spelling of 1010012313312 in words is "one trillion, ten billion, twelve million, three hundred thirteen thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 59 72 96 108 118 144 177 216 236 288 354 432 472 531 708 864 944 1062 1416 1593 1888 2124 2832 3186 4248 5664 6372 8496 12744 16992 25488 50976 19813487 39626974 59440461 79253948 118880922 158507896 178321383 237761844 317015792 356642766 475523688 534964149 634031584 713285532 951047376 1069928298 1168995733 1426571064 1902094752 2139856596 2337991466 2853142128 3506987199 4279713192 4675982932 5706284256 7013974398 8559426384 9351965864 10520961597 14027948796 17118852768 18703931728 21041923194 28055897592 31562884791 37407863456 42083846388 56111795184 63125769582 84167692776 112223590368 126251539164 168335385552 252503078328 336670771104 505006156656 1010012313312