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13432211430 = 23511431496353
BaseRepresentation
bin11001000001001111…
…10100011111100110
31021200010002001002020
430200213310133212
5210002121231210
610100510524010
7653601625161
oct144047643746
937603061066
1013432211430
115773151290
12272a506606
131360ab0a01
14915d16ad8
15539379770
hex3209f47e6

13432211430 has 128 divisors (see below), whose sum is σ = 36233049600. Its totient is φ = 3158722560.

The previous prime is 13432211413. The next prime is 13432211449. The reversal of 13432211430 is 3411223431.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 13432211430.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2111134 + ... + 2117486.

It is an arithmetic number, because the mean of its divisors is an integer number (283070700).

Almost surely, 213432211430 is an apocalyptic number.

13432211430 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 13432211430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18116524800).

13432211430 is an abundant number, since it is smaller than the sum of its proper divisors (22800838170).

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

13432211430 is a wasteful number, since it uses less digits than its factorization.

13432211430 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6566.

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 13432211430 its reverse (3411223431), we get a palindrome (16843434861).

The spelling of 13432211430 in words is "thirteen billion, four hundred thirty-two million, two hundred eleven thousand, four hundred thirty".

Divisors: 1 2 3 5 6 10 11 15 22 30 33 43 55 66 86 110 129 149 165 215 258 298 330 430 447 473 645 745 894 946 1290 1419 1490 1639 2235 2365 2838 3278 4470 4730 4917 6353 6407 7095 8195 9834 12706 12814 14190 16390 19059 19221 24585 31765 32035 38118 38442 49170 63530 64070 69883 70477 95295 96105 139766 140954 190590 192210 209649 211431 273179 349415 352385 419298 422862 546358 698830 704770 819537 946597 1048245 1057155 1365895 1639074 1893194 2096490 2114310 2731790 2839791 3004969 4097685 4732985 5679582 6009938 8195370 9014907 9465970 10412567 14198955 15024845 18029814 20825134 28397910 30049690 31237701 40703671 45074535 52062835 62475402 81407342 90149070 104125670 122111013 156188505 203518355 244222026 312377010 407036710 447740381 610555065 895480762 1221110130 1343221143 2238701905 2686442286 4477403810 6716105715 13432211430