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32113312133000 = 235372655373717
BaseRepresentation
bin1110100110100111101101…
…00011111110111110001000
311012201000001221022101010212
413103103312203332332020
513202121030401224000
6152144352452300252
76523052545212200
oct723236643767610
9135630057271125
1032113312133000
11a2611a756354a
123727937311688
1314bc370440217
147d0414c77400
153aa51aa4bc35
hex1d34f68fef88

32113312133000 has 96 divisors (see below), whose sum is σ = 87413746506840. Its totient is φ = 11010278428800.

The previous prime is 32113312132963. The next prime is 32113312133009. The reversal of 32113312133000 is 33121331123.

It can be written as a sum of positive squares in 4 ways, for example, as 3371725923076 + 28741586209924 = 1836226^2 + 5361118^2 .

It is not an unprimeable number, because it can be changed into a prime (32113312133009) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 327637859 + ... + 327735858.

Almost surely, 232113312133000 is an apocalyptic number.

It is an amenable number.

32113312133000 is an abundant number, since it is smaller than the sum of its proper divisors (55300434373840).

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

32113312133000 is a wasteful number, since it uses less digits than its factorization.

32113312133000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 655373752 (or 655373731 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 23.

Adding to 32113312133000 its reverse (33121331123), we get a palindrome (32146433464123).

The spelling of 32113312133000 in words is "thirty-two trillion, one hundred thirteen billion, three hundred twelve million, one hundred thirty-three thousand".

Divisors: 1 2 4 5 7 8 10 14 20 25 28 35 40 49 50 56 70 98 100 125 140 175 196 200 245 250 280 350 392 490 500 700 875 980 1000 1225 1400 1750 1960 2450 3500 4900 6125 7000 9800 12250 24500 49000 655373717 1310747434 2621494868 3276868585 4587616019 5242989736 6553737170 9175232038 13107474340 16384342925 18350464076 22938080095 26214948680 32113312133 32768685850 36700928152 45876160190 64226624266 65537371700 81921714625 91752320380 114690400475 128453248532 131074743400 160566560665 163843429250 183504640760 229380800950 256906497064 321133121330 327686858500 458761601900 573452002375 642266242660 655373717000 802832803325 917523203800 1146904004750 1284532485320 1605665606650 2293808009500 3211331213300 4014164016625 4587616019000 6422662426600 8028328033250 16056656066500 32113312133000