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232232101131000 = 23353312497119367
BaseRepresentation
bin110100110011011010111111…
…111001001011001011111000
31010110021011122102101202202210
4310303122333321023023320
5220414342320342143000
62141525542054255120
766626133646412235
oct6463327771131370
91113234572352683
10232232101131000
1167aa60988a0213
12220681789574a0
139c77515a3c319
14414c14504c78c
151bcad535d1350
hexd336bfe4b2f8

232232101131000 has 128 divisors (see below), whose sum is σ = 747937193103360. Its totient is φ = 59930864784000.

The previous prime is 232232101130999. The next prime is 232232101131053. The reversal of 232232101131000 is 131101232232.

It is a super-2 number, since 2×2322321011310002 (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1248466684 + ... + 1248652683.

It is an arithmetic number, because the mean of its divisors is an integer number (5843259321120).

Almost surely, 2232232101131000 is an apocalyptic number.

232232101131000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

232232101131000 is an abundant number, since it is smaller than the sum of its proper divisors (515705091972360).

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

232232101131000 is a wasteful number, since it uses less digits than its factorization.

232232101131000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2497119422 (or 2497119408 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

Adding to 232232101131000 its reverse (131101232232), we get a palindrome (232363202363232).

The spelling of 232232101131000 in words is "two hundred thirty-two trillion, two hundred thirty-two billion, one hundred one million, one hundred thirty-one thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 31 40 50 60 62 75 93 100 120 124 125 150 155 186 200 248 250 300 310 372 375 465 500 600 620 744 750 775 930 1000 1240 1500 1550 1860 2325 3000 3100 3720 3875 4650 6200 7750 9300 11625 15500 18600 23250 31000 46500 93000 2497119367 4994238734 7491358101 9988477468 12485596835 14982716202 19976954936 24971193670 29965432404 37456790505 49942387340 59930864808 62427984175 74913581010 77410700377 99884774680 124855968350 149827162020 154821400754 187283952525 232232101131 249711936700 299654324040 309642801508 312139920875 374567905050 387053501885 464464202262 499423873400 619285603016 624279841750 749135810100 774107003770 928928404524 936419762625 1161160505655 1248559683500 1498271620200 1548214007540 1857856809048 1872839525250 1935267509425 2322321011310 2497119367000 3096428015080 3745679050500 3870535018850 4644642022620 5805802528275 7491358101000 7741070037700 9289284045240 9676337547125 11611605056550 15482140075400 19352675094250 23223210113100 29029012641375 38705350188500 46446420226200 58058025282750 77410700377000 116116050565500 232232101131000