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213210010313312 = 2589107699654817
BaseRepresentation
bin110000011110100111010010…
…111011010110001001100000
31000221220200022012120212200012
4300132213102323112021200
5210421213100120011222
62033243154311544052
762623625546311145
oct6036472273261140
91027820265525605
10213210010313312
1161a319484a2851
121bab564108b028
1391c7805124c7c
143a915c33b63cc
15199b1358e41e2
hexc1e9d2ed6260

213210010313312 has 48 divisors (see below), whose sum is σ = 428440624350480. Its totient is φ = 104422081978368.

The previous prime is 213210010313243. The next prime is 213210010313341. The reversal of 213210010313312 is 213313010012312.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 349522673 + ... + 350132144.

It is an arithmetic number, because the mean of its divisors is an integer number (8925846340635).

Almost surely, 2213210010313312 is an apocalyptic number.

It is an amenable number.

213210010313312 is an abundant number, since it is smaller than the sum of its proper divisors (215230614037168).

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

213210010313312 is a wasteful number, since it uses less digits than its factorization.

213210010313312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 699655023 (or 699655015 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 23.

Adding to 213210010313312 its reverse (213313010012312), we get a palindrome (426523020325624).

The spelling of 213210010313312 in words is "two hundred thirteen trillion, two hundred ten billion, ten million, three hundred thirteen thousand, three hundred twelve".

Divisors: 1 2 4 8 16 32 89 107 178 214 356 428 712 856 1424 1712 2848 3424 9523 19046 38092 76184 152368 304736 699654817 1399309634 2798619268 5597238536 11194477072 22388954144 62269278713 74863065419 124538557426 149726130838 249077114852 299452261676 498154229704 598904523352 996308459408 1197809046704 1992616918816 2395618093408 6662812822291 13325625644582 26651251289164 53302502578328 106605005156656 213210010313312