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13230401100 = 22352719331589
BaseRepresentation
bin11000101001001011…
…11110011001001100
31021011001100000100120
430110211332121030
5204043440313400
610024501224540
7645601360650
oct142445763114
937131300316
1013230401100
11567a242194
122692a02150
13132b041707
148d71c2a60
155267b3ca0
hex31497e64c

13230401100 has 144 divisors (see below), whose sum is σ = 46051219200. Its totient is φ = 2864920320.

The previous prime is 13230401099. The next prime is 13230401101. The reversal of 13230401100 is 110403231.

13230401100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (13230401099) and next prime (13230401101).

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

It is a self number, because there is not a number n which added to its sum of digits gives 13230401100.

It is not an unprimeable number, because it can be changed into a prime (13230401101) 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 47 ways as a sum of consecutive naturals, for example, 125895 + ... + 205694.

Almost surely, 213230401100 is an apocalyptic number.

13230401100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13230401100 is an abundant number, since it is smaller than the sum of its proper divisors (32820818100).

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

13230401100 is a wasteful number, since it uses less digits than its factorization.

13230401100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 331632 (or 331625 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 13230401100 its reverse (110403231), we get a palindrome (13340804331).

The spelling of 13230401100 in words is "thirteen billion, two hundred thirty million, four hundred one thousand, one hundred".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 19 20 21 25 28 30 35 38 42 50 57 60 70 75 76 84 95 100 105 114 133 140 150 175 190 210 228 266 285 300 350 380 399 420 475 525 532 570 665 700 798 950 1050 1140 1330 1425 1596 1900 1995 2100 2660 2850 3325 3990 5700 6650 7980 9975 13300 19950 39900 331589 663178 994767 1326356 1657945 1989534 2321123 3315890 3979068 4642246 4973835 6300191 6631780 6963369 8289725 9284492 9947670 11605615 12600382 13926738 16579450 18900573 19895340 23211230 24869175 25200764 27853476 31500955 33158900 34816845 37801146 44101337 46422460 49738350 58028075 63001910 69633690 75602292 88202674 94502865 99476700 116056150 126003820 132304011 139267380 157504775 174084225 176405348 189005730 220506685 232112300 264608022 315009550 348168450 378011460 441013370 472514325 529216044 630019100 661520055 696336900 882026740 945028650 1102533425 1323040110 1890057300 2205066850 2646080220 3307600275 4410133700 6615200550 13230401100