Search a number
-
+
13431410300 = 22527113156269
BaseRepresentation
bin11001000001001001…
…10000111001111100
31021200001120100010202
430200210300321330
5210001420112200
610100441423032
7653562050420
oct144044607174
937601510122
1013431410300
1157727543a0
12272a19aa78
131360890179
14915b88b80
1553926c1d5
hex320930e7c

13431410300 has 144 divisors (see below), whose sum is σ = 37510932480. Its totient is φ = 4051296000.

The previous prime is 13431410281. The next prime is 13431410341. The reversal of 13431410300 is 301413431.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

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, 210566 + ... + 266834.

Almost surely, 213431410300 is an apocalyptic number.

13431410300 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 13431410300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18755466240).

13431410300 is an abundant number, since it is smaller than the sum of its proper divisors (24079522180).

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

13431410300 is a wasteful number, since it uses less digits than its factorization.

13431410300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56332 (or 56325 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 20.

Adding to 13431410300 its reverse (301413431), we get a palindrome (13732823731).

The spelling of 13431410300 in words is "thirteen billion, four hundred thirty-one million, four hundred ten thousand, three hundred".

Divisors: 1 2 4 5 7 10 11 14 20 22 25 28 31 35 44 50 55 62 70 77 100 110 124 140 154 155 175 217 220 275 308 310 341 350 385 434 550 620 682 700 770 775 868 1085 1100 1364 1540 1550 1705 1925 2170 2387 3100 3410 3850 4340 4774 5425 6820 7700 8525 9548 10850 11935 17050 21700 23870 34100 47740 56269 59675 112538 119350 225076 238700 281345 393883 562690 618959 787766 1125380 1237918 1406725 1575532 1744339 1969415 2475836 2813450 3094795 3488678 3938830 4332713 5626900 6189590 6977356 7877660 8665426 8721695 9847075 12210373 12379180 15473975 17330852 17443390 19187729 19694150 21663565 24420746 30947950 34886780 38375458 39388300 43327130 43608475 48841492 61051865 61895900 76750916 86654260 87216950 95938645 108317825 122103730 134314103 174433900 191877290 216635650 244207460 268628206 305259325 383754580 433271300 479693225 537256412 610518650 671570515 959386450 1221037300 1343141030 1918772900 2686282060 3357852575 6715705150 13431410300