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213101003001294 = 232191979293404689
BaseRepresentation
bin110000011101000001110001…
…100101011100110111001110
31000221112020221022002200012200
4300131001301211130313032
5210412421323232020134
62033121125502542330
762613016340405562
oct6035016145346716
91027466838080180
10213101003001294
116199a69a731931
121ba9849a8979a6
1391ba4524a5005
143a8a201d996a2
1519983a5a36499
hexc1d07195cdce

213101003001294 has 96 divisors (see below), whose sum is σ = 489012900948000. Its totient is φ = 66881364221952.

The previous prime is 213101003001287. The next prime is 213101003001349. The reversal of 213101003001294 is 492100300101312.

213101003001294 is a `hidden beast` number, since 2 + 131 + 0 + 100 + 300 + 129 + 4 = 666.

213101003001294 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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, 60888102 + ... + 64292790.

It is an arithmetic number, because the mean of its divisors is an integer number (5093884384875).

Almost surely, 2213101003001294 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 213101003001294, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (244506450474000).

213101003001294 is an abundant number, since it is smaller than the sum of its proper divisors (275911897946706).

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

213101003001294 is a wasteful number, since it uses less digits than its factorization.

213101003001294 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3405842 (or 3405839 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The spelling of 213101003001294 in words is "two hundred thirteen trillion, one hundred one billion, three million, one thousand, two hundred ninety-four".

Divisors: 1 2 3 6 9 18 19 38 57 114 171 197 342 394 591 929 1182 1773 1858 2787 3546 3743 5574 7486 8361 11229 16722 17651 22458 33687 35302 52953 67374 105906 158859 183013 317718 366026 549039 1098078 1647117 3294234 3404689 3477247 6809378 6954494 10214067 10431741 20428134 20863482 30642201 31295223 61284402 62590446 64689091 129378182 194067273 388134546 582201819 670723733 1164403638 1341447466 2012171199 3162956081 4024342398 6036513597 6325912162 9488868243 12073027194 12743750927 18977736486 25487501854 28466604729 38231252781 56933209458 60096165539 76462505562 114693758343 120192331078 180288496617 229387516686 360576993234 540865489851 623102347957 1081730979702 1246204695914 1869307043871 3738614087742 5607921131613 11215842263226 11838944611183 23677889222366 35516833833549 71033667667098 106550501500647 213101003001294