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13201103232 = 273218163311
BaseRepresentation
bin11000100101101100…
…01101100110000000
31021002000012112020100
430102312031212000
5204013440300412
610021533242400
7645064345302
oct142266154600
937060175210
1013201103232
115664751279
122685033400
131324c541b5
148d3357972
15523e27edc
hex312d8d980

13201103232 has 96 divisors (see below), whose sum is σ = 38198028960. Its totient is φ = 4375987200.

The previous prime is 13201103189. The next prime is 13201103281. The reversal of 13201103232 is 23230110231.

13201103232 is a `hidden beast` number, since 1 + 320 + 110 + 3 + 232 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 176857 + ... + 240167.

It is an arithmetic number, because the mean of its divisors is an integer number (397896135).

Almost surely, 213201103232 is an apocalyptic number.

13201103232 is a gapful number since it is divisible by the number (12) 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 13201103232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19099014480).

13201103232 is an abundant number, since it is smaller than the sum of its proper divisors (24996925728).

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

13201103232 is a wasteful number, since it uses less digits than its factorization.

13201103232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 63512 (or 63497 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 13201103232 its reverse (23230110231), we get a palindrome (36431213463).

The spelling of 13201103232 in words is "thirteen billion, two hundred one million, one hundred three thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 181 192 288 362 384 543 576 724 1086 1152 1448 1629 2172 2896 3258 4344 5792 6516 8688 11584 13032 17376 23168 26064 34752 52128 63311 69504 104256 126622 189933 208512 253244 379866 506488 569799 759732 1012976 1139598 1519464 2025952 2279196 3038928 4051904 4558392 6077856 8103808 9116784 11459291 12155712 18233568 22918582 24311424 34377873 36467136 45837164 68755746 72934272 91674328 103133619 137511492 183348656 206267238 275022984 366697312 412534476 550045968 733394624 825068952 1100091936 1466789248 1650137904 2200183872 3300275808 4400367744 6600551616 13201103232