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232121233120 = 2557263788027
BaseRepresentation
bin1101100000101110000…
…0001110111011100000
3211012010221001101200011
43120023200032323200
512300341013424440
6254345055334304
722525115632660
oct3301340167340
9735127041604
10232121233120
118a495426057
1238ba0b21394
1318b72cc78aa
14b3401421a0
15608840b9ea
hex360b80eee0

232121233120 has 96 divisors (see below), whose sum is σ = 629111121408. Its totient is φ = 79281719808.

The previous prime is 232121233063. The next prime is 232121233147. The reversal of 232121233120 is 21332121232.

It is a junction number, because it is equal to n+sod(n) for n = 232121233091 and 232121233100.

It is a congruent number.

It is an unprimeable number.

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, 99454 + ... + 688573.

It is an arithmetic number, because the mean of its divisors is an integer number (6553240848).

Almost surely, 2232121233120 is an apocalyptic number.

232121233120 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 232121233120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (314555560704).

232121233120 is an abundant number, since it is smaller than the sum of its proper divisors (396989888288).

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

232121233120 is a wasteful number, since it uses less digits than its factorization.

232121233120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 788312 (or 788304 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 22.

Adding to 232121233120 its reverse (21332121232), we get a palindrome (253453354352).

The spelling of 232121233120 in words is "two hundred thirty-two billion, one hundred twenty-one million, two hundred thirty-three thousand, one hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 70 80 112 140 160 224 263 280 526 560 1052 1120 1315 1841 2104 2630 3682 4208 5260 7364 8416 9205 10520 14728 18410 21040 29456 36820 42080 58912 73640 147280 294560 788027 1576054 3152108 3940135 5516189 6304216 7880270 11032378 12608432 15760540 22064756 25216864 27580945 31521080 44129512 55161890 63042160 88259024 110323780 126084320 176518048 207251101 220647560 414502202 441295120 829004404 882590240 1036255505 1450757707 1658008808 2072511010 2901515414 3316017616 4145022020 5803030828 6632035232 7253788535 8290044040 11606061656 14507577070 16580088080 23212123312 29015154140 33160176160 46424246624 58030308280 116060616560 232121233120