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13232001420 = 223251137180617
BaseRepresentation
bin11000101001011000…
…00101000110001100
31021011011100022120200
430110230011012030
5204044343021140
610024555413500
7645621104421
oct142454050614
937134308520
1013232001420
115680135570
122693454290
13132b481c51
148d74bbd48
155269cd030
hex314b0518c

13232001420 has 144 divisors (see below), whose sum is σ = 44969547168. Its totient is φ = 3121044480.

The previous prime is 13232001401. The next prime is 13232001421. The reversal of 13232001420 is 2410023231.

13232001420 is a `hidden beast` number, since 1 + 323 + 200 + 142 + 0 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 13232001393 and 13232001402.

It is not an unprimeable number, because it can be changed into a prime (13232001421) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 17049 + ... + 163568.

It is an arithmetic number, because the mean of its divisors is an integer number (312288522).

Almost surely, 213232001420 is an apocalyptic number.

13232001420 is a gapful number since it is divisible by the number (10) 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 13232001420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22484773584).

13232001420 is an abundant number, since it is smaller than the sum of its proper divisors (31737545748).

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

13232001420 is a wasteful number, since it uses less digits than its factorization.

13232001420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 180680 (or 180675 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 13232001420 its reverse (2410023231), we get a palindrome (15642024651).

The spelling of 13232001420 in words is "thirteen billion, two hundred thirty-two million, one thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 30 33 36 37 44 45 55 60 66 74 90 99 110 111 132 148 165 180 185 198 220 222 330 333 370 396 407 444 495 555 660 666 740 814 990 1110 1221 1332 1628 1665 1980 2035 2220 2442 3330 3663 4070 4884 6105 6660 7326 8140 12210 14652 18315 24420 36630 73260 180617 361234 541851 722468 903085 1083702 1625553 1806170 1986787 2167404 2709255 3251106 3612340 3973574 5418510 5960361 6502212 6682829 7947148 8127765 9933935 10837020 11920722 13365658 16255530 17881083 19867870 20048487 23841444 26731316 29801805 32511060 33414145 35762166 39735740 40096974 59603610 60145461 66828290 71524332 73511119 80193948 89405415 100242435 119207220 120290922 133656580 147022238 178810830 200484870 220533357 240581844 294044476 300727305 357621660 367555595 400969740 441066714 601454610 661600071 735111190 882133428 1102666785 1202909220 1323200142 1470222380 2205333570 2646400284 3308000355 4410667140 6616000710 13232001420