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232000321120 = 2556785725253
BaseRepresentation
bin1101100000010001001…
…0111111011001100000
3211011211111112102120221
43120010102333121200
512300114040233440
6254325100012424
722522120122601
oct3300422773140
9734744472527
10232000321120
118a433151087
1238b68531114
1318b53c41829
14b32c069da8
15607c9c5d4a
hex36044bf660

232000321120 has 96 divisors (see below), whose sum is σ = 556952524128. Its totient is φ = 91304767488.

The previous prime is 232000321099. The next prime is 232000321127. The reversal of 232000321120 is 21123000232.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 232000321094 and 232000321103.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (232000321127) 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 15 ways as a sum of consecutive naturals, for example, 9174414 + ... + 9199666.

It is an arithmetic number, because the mean of its divisors is an integer number (5801588793).

Almost surely, 2232000321120 is an apocalyptic number.

232000321120 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 232000321120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (278476262064).

232000321120 is an abundant number, since it is smaller than the sum of its proper divisors (324952203008).

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

232000321120 is a wasteful number, since it uses less digits than its factorization.

232000321120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26192 (or 26184 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

Adding to 232000321120 its reverse (21123000232), we get a palindrome (253123321352).

The spelling of 232000321120 in words is "two hundred thirty-two billion, three hundred twenty-one thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 67 80 134 160 268 335 536 670 857 1072 1340 1714 2144 2680 3428 4285 5360 6856 8570 10720 13712 17140 25253 27424 34280 50506 57419 68560 101012 114838 126265 137120 202024 229676 252530 287095 404048 459352 505060 574190 808096 918704 1010120 1148380 1691951 1837408 2020240 2296760 3383902 4040480 4593520 6767804 8459755 9187040 13535608 16919510 21641821 27071216 33839020 43283642 54142432 67678040 86567284 108209105 135356080 173134568 216418210 270712160 346269136 432836420 692538272 865672840 1450002007 1731345680 2900004014 3462691360 5800008028 7250010035 11600016056 14500020070 23200032112 29000040140 46400064224 58000080280 116000160560 232000321120