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13531343430 = 235111919111299
BaseRepresentation
bin11001001101000011…
…11110101001000110
31021221000121110121210
430212201332221012
5210203010442210
610114411352250
7656214343563
oct144641765106
937830543553
1013531343430
1158140aa660
122757752686
1313784ac3b7
1492515d86a
15542e0be20
hex32687ea46

13531343430 has 128 divisors (see below), whose sum is σ = 37490688000. Its totient is φ = 3091132800.

The previous prime is 13531343393. The next prime is 13531343431. The reversal of 13531343430 is 3434313531.

13531343430 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13531343431) 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 63 ways as a sum of consecutive naturals, for example, 1191921 + ... + 1203219.

It is an arithmetic number, because the mean of its divisors is an integer number (292896000).

Almost surely, 213531343430 is an apocalyptic number.

13531343430 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 13531343430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18745344000).

13531343430 is an abundant number, since it is smaller than the sum of its proper divisors (23959344570).

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

13531343430 is a wasteful number, since it uses less digits than its factorization.

13531343430 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11530.

The product of its (nonzero) digits is 19440, while the sum is 30.

Adding to 13531343430 its reverse (3434313531), we get a palindrome (16965656961).

The spelling of 13531343430 in words is "thirteen billion, five hundred thirty-one million, three hundred forty-three thousand, four hundred thirty".

Divisors: 1 2 3 5 6 10 11 15 19 22 30 33 38 55 57 66 95 110 114 165 190 191 209 285 330 382 418 570 573 627 955 1045 1146 1254 1910 2090 2101 2865 3135 3629 4202 5730 6270 6303 7258 10505 10887 11299 12606 18145 21010 21774 22598 31515 33897 36290 39919 54435 56495 63030 67794 79838 108870 112990 119757 124289 169485 199595 214681 239514 248578 338970 372867 399190 429362 598785 621445 644043 745734 1073405 1197570 1242890 1288086 1864335 2146810 2158109 2361491 3220215 3728670 4316218 4722982 6440430 6474327 7084473 10790545 11807455 12948654 14168946 21581090 23614910 23739199 32371635 35422365 41004071 47478398 64743270 70844730 71217597 82008142 118695995 123012213 142435194 205020355 237391990 246024426 356087985 410040710 451044781 615061065 712175970 902089562 1230122130 1353134343 2255223905 2706268686 4510447810 6765671715 13531343430