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213304001420 = 225411315633527
BaseRepresentation
bin1100011010100111101…
…0001100001110001100
3202101120112002222111202
43012221322030032030
511443321311021140
6241553541005032
721260605045106
oct3065172141614
9671515088452
10213304001420
11825096033a4
123540b0b3778
1317164690073
14a476d82576
155836425915
hex31a9e8c38c

213304001420 has 96 divisors (see below), whose sum is σ = 463319087616. Its totient is φ = 82435059200.

The previous prime is 213304001387. The next prime is 213304001527. The reversal of 213304001420 is 24100403312.

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

It is a junction number, because it is equal to n+sod(n) for n = 213304001392 and 213304001401.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 60475697 + ... + 60479223.

It is an arithmetic number, because the mean of its divisors is an integer number (4826240496).

Almost surely, 2213304001420 is an apocalyptic number.

213304001420 is a gapful number since it is divisible by the number (20) 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 213304001420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (231659543808).

213304001420 is an abundant number, since it is smaller than the sum of its proper divisors (250015086196).

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

213304001420 is a wasteful number, since it uses less digits than its factorization.

213304001420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4271 (or 4269 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 213304001420 its reverse (24100403312), we get a palindrome (237404404732).

The spelling of 213304001420 in words is "two hundred thirteen billion, three hundred four million, one thousand, four hundred twenty".

Divisors: 1 2 4 5 10 20 41 82 131 164 205 262 410 524 563 655 820 1126 1310 2252 2620 2815 3527 5371 5630 7054 10742 11260 14108 17635 21484 23083 26855 35270 46166 53710 70540 73753 92332 107420 115415 144607 147506 230830 289214 295012 368765 461660 462037 578428 723035 737530 924074 1446070 1475060 1848148 1985701 2310185 2892140 3023873 3971402 4620370 6047746 7942804 9240740 9928505 12095492 15119365 18943517 19857010 30238730 37887034 39714020 60477460 75774068 81413741 94717585 162827482 189435170 260126831 325654964 378870340 407068705 520253662 814137410 1040507324 1300634155 1628274820 2601268310 5202536620 10665200071 21330400142 42660800284 53326000355 106652000710 213304001420