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232200101320 = 235111993118527
BaseRepresentation
bin1101100001000000110…
…1000101110111001000
3211012100102110022111121
43120100031011313020
512301021211220240
6254400554005024
722530064203265
oct3302015056710
9735312408447
10232200101320
118a5259a3990
1239003416774
1318b8644ca75
14b34a7d226c
1560902da04a
hex3610345dc8

232200101320 has 128 divisors (see below), whose sum is σ = 574718976000. Its totient is φ = 83732140800.

The previous prime is 232200101291. The next prime is 232200101359. The reversal of 232200101320 is 23101002232.

It is a junction number, because it is equal to n+sod(n) for n = 232200101294 and 232200101303.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 27226897 + ... + 27235423.

It is an arithmetic number, because the mean of its divisors is an integer number (4489992000).

Almost surely, 2232200101320 is an apocalyptic number.

232200101320 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 232200101320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (287359488000).

232200101320 is an abundant number, since it is smaller than the sum of its proper divisors (342518874680).

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

232200101320 is a wasteful number, since it uses less digits than its factorization.

232200101320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9059 (or 9055 counting only the distinct ones).

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

Adding to 232200101320 its reverse (23101002232), we get a palindrome (255301103552).

The spelling of 232200101320 in words is "two hundred thirty-two billion, two hundred million, one hundred one thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 110 199 220 311 398 440 622 796 995 1244 1555 1592 1990 2189 2488 3110 3421 3980 4378 6220 6842 7960 8527 8756 10945 12440 13684 17054 17105 17512 21890 27368 34108 34210 42635 43780 61889 68216 68420 85270 87560 93797 123778 136840 170540 187594 247556 309445 341080 375188 468985 495112 618890 680779 750376 937970 1237780 1361558 1696873 1875940 2475560 2651897 2723116 3393746 3403895 3751880 5303794 5446232 6787492 6807790 8484365 10607588 13259485 13574984 13615580 16968730 18665603 21215176 26518970 27231160 29170867 33937460 37331206 53037940 58341734 67874920 74662412 93328015 106075880 116683468 145854335 149324824 186656030 233366936 291708670 373312060 527727503 583417340 746624120 1055455006 1166834680 2110910012 2638637515 4221820024 5277275030 5805002533 10554550060 11610005066 21109100120 23220010132 29025012665 46440020264 58050025330 116100050660 232200101320