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233130120000 = 263541942751
BaseRepresentation
bin1101100100011110100…
…0110101001101000000
3211021202020110011021220
43121013220311031000
512304422302320000
6255033135315040
722562116216101
oct3310750651500
9737666404256
10233130120000
118a962969768
123922297ba80
1318ca4026a8b
14b3d81243a8
1560e6c961a0
hex3647a35340

233130120000 has 140 divisors (see below), whose sum is σ = 770782970496. Its totient is φ = 62168000000.

The previous prime is 233130119987. The next prime is 233130120001. The reversal of 233130120000 is 21031332.

233130120000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (233130120001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 851376 + ... + 1091375.

Almost surely, 2233130120000 is an apocalyptic number.

233130120000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

233130120000 is an abundant number, since it is smaller than the sum of its proper divisors (537652850496).

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

233130120000 is an equidigital number, since it uses as much as digits as its factorization.

233130120000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1942786 (or 1942761 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 15.

Adding to 233130120000 its reverse (21031332), we get a palindrome (233151151332).

The spelling of 233130120000 in words is "two hundred thirty-three billion, one hundred thirty million, one hundred twenty thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 32 40 48 50 60 64 75 80 96 100 120 125 150 160 192 200 240 250 300 320 375 400 480 500 600 625 750 800 960 1000 1200 1250 1500 1600 1875 2000 2400 2500 3000 3750 4000 4800 5000 6000 7500 8000 10000 12000 15000 20000 24000 30000 40000 60000 120000 1942751 3885502 5828253 7771004 9713755 11656506 15542008 19427510 23313012 29141265 31084016 38855020 46626024 48568775 58282530 62168032 77710040 93252048 97137550 116565060 124336064 145706325 155420080 186504096 194275100 233130120 242843875 291412650 310840160 373008192 388550200 466260240 485687750 582825300 621680320 728531625 777100400 932520480 971375500 1165650600 1214219375 1457063250 1554200800 1865040960 1942751000 2331301200 2428438750 2914126500 3108401600 3642658125 3885502000 4662602400 4856877500 5828253000 7285316250 7771004000 9325204800 9713755000 11656506000 14570632500 15542008000 19427510000 23313012000 29141265000 38855020000 46626024000 58282530000 77710040000 116565060000 233130120000