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213431041032420 = 223538313121707849
BaseRepresentation
bin110000100001110101001001…
…011000101000000011100100
31000222200210211012212210020010
4300201311021120220003210
5210433323233001014140
62033532511111210220
762645612106365061
oct6041651130500344
91028623735783203
10213431041032420
1162007661588542
121bb30447976970
1392125cb523323
143a9c190605c68
1519a1c70332880
hexc21d496280e4

213431041032420 has 96 divisors (see below), whose sum is σ = 599213757542400. Its totient is φ = 56761934725120.

The previous prime is 213431041032413. The next prime is 213431041032421. The reversal of 213431041032420 is 24230140134312.

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

It is not an unprimeable number, because it can be changed into a prime (213431041032421) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 301166656 + ... + 301874504.

It is an arithmetic number, because the mean of its divisors is an integer number (6241809974400).

Almost surely, 2213431041032420 is an apocalyptic number.

213431041032420 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

213431041032420 is an abundant number, since it is smaller than the sum of its proper divisors (385782716509980).

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

213431041032420 is a wasteful number, since it uses less digits than its factorization.

213431041032420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 721365 (or 721363 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 30.

Adding to 213431041032420 its reverse (24230140134312), we get a palindrome (237661181166732).

The spelling of 213431041032420 in words is "two hundred thirteen trillion, four hundred thirty-one billion, forty-one million, thirty-two thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 383 766 1149 1532 1915 2298 3830 4596 5745 7660 11490 13121 22980 26242 39363 52484 65605 78726 131210 157452 196815 262420 393630 707849 787260 1415698 2123547 2831396 3539245 4247094 5025343 7078490 8494188 10050686 10617735 14156980 15076029 20101372 21235470 25126715 30152058 42470940 50253430 60304116 75380145 100506860 150760290 271106167 301520580 542212334 813318501 1084424668 1355530835 1626637002 2711061670 3253274004 4066592505 5422123340 8133185010 9287686729 16266370020 18575373458 27863060187 37150746916 46438433645 55726120374 92876867290 111452240748 139315300935 185753734580 278630601870 557261203740 3557184017207 7114368034414 10671552051621 14228736068828 17785920086035 21343104103242 35571840172070 42686208206484 53357760258105 71143680344140 106715520516210 213431041032420