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1010313210312 = 2332719731016011
BaseRepresentation
bin11101011001110110101…
…11000010100111001000
310120120210110112210101100
432230323113002213020
5113023110140212222
62052044222221400
7132664334410410
oct16547327024710
93516713483340
101010313210312
1135a5205174aa
1214397ba24860
137436cb2a953
1436c8401b640
151b431d924ac
hexeb3b5c29c8

1010313210312 has 96 divisors (see below), whose sum is σ = 3128747993280. Its totient is φ = 288514327680.

The previous prime is 1010313210301. The next prime is 1010313210407. The reversal of 1010313210312 is 2130123130101.

1010313210312 is a `hidden beast` number, since 1 + 0 + 1 + 0 + 31 + 321 + 0 + 312 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 486387 + ... + 1502397.

It is an arithmetic number, because the mean of its divisors is an integer number (32591124930).

Almost surely, 21010313210312 is an apocalyptic number.

1010313210312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1010313210312 is an abundant number, since it is smaller than the sum of its proper divisors (2118434782968).

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

1010313210312 is a wasteful number, since it uses less digits than its factorization.

1010313210312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1018003 (or 1017996 counting only the distinct ones).

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

Adding to 1010313210312 its reverse (2130123130101), we get a palindrome (3140436340413).

The spelling of 1010313210312 in words is "one trillion, ten billion, three hundred thirteen million, two hundred ten thousand, three hundred twelve".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 56 63 72 84 126 168 252 504 1973 3946 5919 7892 11838 13811 15784 17757 23676 27622 35514 41433 47352 55244 71028 82866 110488 124299 142056 165732 248598 331464 497196 994392 1016011 2032022 3048033 4064044 6096066 7112077 8128088 9144099 12192132 14224154 18288198 21336231 24384264 28448308 36576396 42672462 56896616 64008693 73152792 85344924 128017386 170689848 256034772 512069544 2004589703 4009179406 6013769109 8018358812 12027538218 14032127921 16036717624 18041307327 24055076436 28064255842 36082614654 42096383763 48110152872 56128511684 72165229308 84192767526 112257023368 126289151289 144330458616 168385535052 252578302578 336771070104 505156605156 1010313210312