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232321130000 = 245431749423
BaseRepresentation
bin1101100001011101101…
…0110001111000010000
3211012122212012012122022
43120113122301320100
512301243202130000
6254421000031012
722533064010501
oct3302732617020
9735585165568
10232321130000
118a588248593
1239037a62468
1318ba5546c7b
14b35c8d8ba8
15609ac45585
hex36176b1e10

232321130000 has 100 divisors (see below), whose sum is σ = 580617742848. Its totient is φ = 89930640000.

The previous prime is 232321129981. The next prime is 232321130003. The reversal of 232321130000 is 31123232.

It is a tau number, because it is divible by the number of its divisors (100).

It is a super-3 number, since 3×2323211300003 (a number of 35 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (232321130003) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 64712 + ... + 684711.

Almost surely, 2232321130000 is an apocalyptic number.

232321130000 is a gapful number since it is divisible by the number (20) 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 232321130000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (290308871424).

232321130000 is an abundant number, since it is smaller than the sum of its proper divisors (348296612848).

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

232321130000 is an equidigital number, since it uses as much as digits as its factorization.

232321130000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 749482 (or 749461 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 17.

Adding to 232321130000 its reverse (31123232), we get a palindrome (232352253232).

The spelling of 232321130000 in words is "two hundred thirty-two billion, three hundred twenty-one million, one hundred thirty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 31 40 50 62 80 100 124 125 155 200 248 250 310 400 496 500 620 625 775 1000 1240 1250 1550 2000 2480 2500 3100 3875 5000 6200 7750 10000 12400 15500 19375 31000 38750 62000 77500 155000 310000 749423 1498846 2997692 3747115 5995384 7494230 11990768 14988460 18735575 23232113 29976920 37471150 46464226 59953840 74942300 92928452 93677875 116160565 149884600 185856904 187355750 232321130 299769200 371713808 374711500 464642260 468389375 580802825 749423000 929284520 936778750 1161605650 1498846000 1858569040 1873557500 2323211300 2904014125 3747115000 4646422600 5808028250 7494230000 9292845200 11616056500 14520070625 23232113000 29040141250 46464226000 58080282500 116160565000 232321130000