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1010310312 = 2331121732011
BaseRepresentation
bin111100001110000…
…001110010101000
32121102002002012110
4330032001302220
54032114412222
6244130242320
734015332054
oct7416016250
92542062173
101010310312
11479326100
122424263a0
1313140a06b
1498272c64
155da6b30c
hex3c381ca8

1010310312 has 96 divisors (see below), whose sum is σ = 2793702240. Its totient is φ = 304233600.

The previous prime is 1010310311. The next prime is 1010310317. The reversal of 1010310312 is 2130130101.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is not an unprimeable number, because it can be changed into a prime (1010310311) 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 23 ways as a sum of consecutive naturals, for example, 501387 + ... + 503397.

It is an arithmetic number, because the mean of its divisors is an integer number (29101065).

Almost surely, 21010310312 is an apocalyptic number.

1010310312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1010310312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1396851120).

1010310312 is an abundant number, since it is smaller than the sum of its proper divisors (1783391928).

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

1010310312 is a wasteful number, since it uses less digits than its factorization.

1010310312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2215 (or 2200 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 12.

The square root of 1010310312 is about 31785.3789028855. The cubic root of 1010310312 is about 1003.4250264676.

Adding to 1010310312 its reverse (2130130101), we get a palindrome (3140440413).

The spelling of 1010310312 in words is "one billion, ten million, three hundred ten thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 88 121 132 173 242 264 346 363 484 519 692 726 968 1038 1384 1452 1903 2011 2076 2904 3806 4022 4152 5709 6033 7612 8044 11418 12066 15224 16088 20933 22121 22836 24132 41866 44242 45672 48264 62799 66363 83732 88484 125598 132726 167464 176968 243331 251196 265452 347903 486662 502392 530904 695806 729993 973324 1043709 1391612 1459986 1946648 2087418 2783224 2919972 3826933 4174836 5839944 7653866 8349672 11480799 15307732 22961598 30615464 42096263 45923196 84192526 91846392 126288789 168385052 252577578 336770104 505155156 1010310312