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213043340312 = 23114197608737
BaseRepresentation
bin1100011001101001011…
…1110110010000011000
3202100220100122000200122
43012122113312100120
511442303043342222
6241512030052412
721251261341145
oct3063227662030
9670810560618
10213043340312
11823954588a0
123535794a108
1317122686c1a
14a4504cd3cc
15581d5d7a42
hex319a5f6418

213043340312 has 64 divisors (see below), whose sum is σ = 451001809440. Its totient is φ = 93501849600.

The previous prime is 213043340287. The next prime is 213043340357.

213043340312 is nontrivially palindromic in base 10.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 45608 + ... + 654344.

Almost surely, 2213043340312 is an apocalyptic number.

213043340312 is a gapful number since it is divisible by the number (22) 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 213043340312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (225500904720).

213043340312 is an abundant number, since it is smaller than the sum of its proper divisors (237958469128).

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

213043340312 is a wasteful number, since it uses less digits than its factorization.

213043340312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 608892 (or 608888 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 26.

It can be divided in two parts, 213043 and 340312, that added together give a palindrome (553355).

The spelling of 213043340312 in words is "two hundred thirteen billion, forty-three million, three hundred forty thousand, three hundred twelve".

Divisors: 1 2 4 8 11 22 41 44 82 88 97 164 194 328 388 451 776 902 1067 1804 2134 3608 3977 4268 7954 8536 15908 31816 43747 87494 174988 349976 608737 1217474 2434948 4869896 6696107 13392214 24958217 26784428 49916434 53568856 59047489 99832868 118094978 199665736 236189956 274540387 472379912 549080774 649522379 1098161548 1299044758 2196323096 2420947049 2598089516 4841894098 5196179032 9683788196 19367576392 26630417539 53260835078 106521670156 213043340312