Search a number
-
+
13021233030 = 23351315723629
BaseRepresentation
bin11000010000010000…
…00011111110000110
31020121110202011201000
430020020003332012
5203131413424110
65552030114130
7640451440341
oct141010037606
936543664630
1013021233030
115582168113
12263494b946
1312c68c7420
148b74d5458
155132481c0
hex308203f86

13021233030 has 128 divisors (see below), whose sum is σ = 37634083200. Its totient is φ = 3184676352.

The previous prime is 13021232993. The next prime is 13021233037. The reversal of 13021233030 is 3033212031.

13021233030 is a `hidden beast` number, since 1 + 302 + 1 + 2 + 330 + 30 = 666.

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

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 13021232994 and 13021233012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13021233037) 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 63 ways as a sum of consecutive naturals, for example, 539256 + ... + 562884.

It is an arithmetic number, because the mean of its divisors is an integer number (294016275).

Almost surely, 213021233030 is an apocalyptic number.

13021233030 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 13021233030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18817041600).

13021233030 is an abundant number, since it is smaller than the sum of its proper divisors (24612850170).

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

13021233030 is a wasteful number, since it uses less digits than its factorization.

13021233030 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23815 (or 23809 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

Adding to 13021233030 its reverse (3033212031), we get a palindrome (16054445061).

It can be divided in two parts, 13021 and 233030, that added together give a triangular number (246051 = T701).

The spelling of 13021233030 in words is "thirteen billion, twenty-one million, two hundred thirty-three thousand, thirty".

Divisors: 1 2 3 5 6 9 10 13 15 18 26 27 30 39 45 54 65 78 90 117 130 135 157 195 234 270 314 351 390 471 585 702 785 942 1170 1413 1570 1755 2041 2355 2826 3510 4082 4239 4710 6123 7065 8478 10205 12246 14130 18369 20410 21195 23629 30615 36738 42390 47258 55107 61230 70887 91845 110214 118145 141774 183690 212661 236290 275535 307177 354435 425322 551070 614354 637983 708870 921531 1063305 1275966 1535885 1843062 2126610 2764593 3071770 3189915 3709753 4607655 5529186 6379830 7419506 8293779 9215310 11129259 13822965 16587558 18548765 22258518 27645930 33387777 37097530 41468895 48226789 55646295 66775554 82937790 96453578 100163331 111292590 144680367 166938885 200326662 241133945 289360734 333877770 434041101 482267890 500816655 723401835 868082202 1001633310 1302123303 1446803670 2170205505 2604246606 4340411010 6510616515 13021233030