Search a number
-
+
13143111433050 = 23523112972179241
BaseRepresentation
bin1011111101000001111001…
…1111001111101101011010
31201112110200000220120202210
42333100132133033231122
53210314043011324200
643541510111135550
72524362360614154
oct277203637175532
951473600816683
1013143111433050
114207a64844605
1215832815145b6
1374450c049351
143361b6985ad4
1517bd3860e650
hexbf41e7cfb5a

13143111433050 has 96 divisors (see below), whose sum is σ = 33672322404864. Its totient is φ = 3389154048000.

The previous prime is 13143111433043. The next prime is 13143111433091. The reversal of 13143111433050 is 5033411134131.

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

It is a junction number, because it is equal to n+sod(n) for n = 13143111432999 and 13143111433017.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4941430 + ... + 7120670.

It is an arithmetic number, because the mean of its divisors is an integer number (350753358384).

Almost surely, 213143111433050 is an apocalyptic number.

13143111433050 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 13143111433050, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16836161202432).

13143111433050 is an abundant number, since it is smaller than the sum of its proper divisors (20529210971814).

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

13143111433050 is a wasteful number, since it uses less digits than its factorization.

13143111433050 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2180584 (or 2180579 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 30.

Adding to 13143111433050 its reverse (5033411134131), we get a palindrome (18176522567181).

The spelling of 13143111433050 in words is "thirteen trillion, one hundred forty-three billion, one hundred eleven million, four hundred thirty-three thousand, fifty".

Divisors: 1 2 3 5 6 10 15 25 30 31 50 62 75 93 150 155 186 310 465 775 930 1297 1550 2325 2594 3891 4650 6485 7782 12970 19455 32425 38910 40207 64850 80414 97275 120621 194550 201035 241242 402070 603105 1005175 1206210 2010350 2179241 3015525 4358482 6031050 6537723 10896205 13075446 21792410 32688615 54481025 65377230 67556471 108962050 135112942 163443075 202669413 326886150 337782355 405338826 675564710 1013347065 1688911775 2026694130 2826475577 3377823550 5066735325 5652951154 8479426731 10133470650 14132377885 16958853462 28264755770 42397133655 70661889425 84794267310 87620742887 141323778850 175241485774 211985668275 262862228661 423971336550 438103714435 525724457322 876207428870 1314311143305 2190518572175 2628622286610 4381037144350 6571555716525 13143111433050