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1012312023000 = 23353500367447
BaseRepresentation
bin11101011101100100111…
…11111001111111011000
310120202221202122222220220
432232302133321333120
5113041203334214000
62053014423520040
7133065015135555
oct16566237717730
93522852588826
101012312023000
11360356823013
121442392b9020
13745cac7a755
1436dd3687a2c
151b4ec5bd1a0
hexebb27f9fd8

1012312023000 has 128 divisors (see below), whose sum is σ = 3159091653120. Its totient is φ = 269891913600.

The previous prime is 1012312022927. The next prime is 1012312023049. The reversal of 1012312023000 is 3202132101.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 14975277 + ... + 15042723.

It is an arithmetic number, because the mean of its divisors is an integer number (24680403540).

Almost surely, 21012312023000 is an apocalyptic number.

1012312023000 is a gapful number since it is divisible by the number (10) 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 1012312023000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1579545826560).

1012312023000 is an abundant number, since it is smaller than the sum of its proper divisors (2146779630120).

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

1012312023000 is a wasteful number, since it uses less digits than its factorization.

1012312023000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72474 (or 72460 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 1012312023000 its reverse (3202132101), we get a palindrome (1015514155101).

The spelling of 1012312023000 in words is "one trillion, twelve billion, three hundred twelve million, twenty-three thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 125 150 200 250 300 375 500 600 750 1000 1500 3000 5003 10006 15009 20012 25015 30018 40024 50030 60036 67447 75045 100060 120072 125075 134894 150090 200120 202341 250150 269788 300180 337235 375225 404682 500300 539576 600360 625375 674470 750450 809364 1000600 1011705 1250750 1348940 1500900 1618728 1686175 1876125 2023410 2501500 2697880 3001800 3372350 3752250 4046820 5003000 5058525 6744700 7504500 8093640 8430875 10117050 13489400 15009000 16861750 20234100 25292625 33723500 40468200 50585250 67447000 101170500 202341000 337437341 674874682 1012312023 1349749364 1687186705 2024624046 2699498728 3374373410 4049248092 5061560115 6748746820 8098496184 8435933525 10123120230 13497493640 16871867050 20246240460 25307800575 33743734100 40492480920 42179667625 50615601150 67487468200 84359335250 101231202300 126539002875 168718670500 202462404600 253078005750 337437341000 506156011500 1012312023000