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213413132044 = 2272311325711411
BaseRepresentation
bin1100011011000001101…
…0011111011100001100
3202101212010110101120201
43012300122133130030
511444032230211134
6242012440023244
721263401456150
oct3066032373414
9671763411521
10213413132044
11825651708a2
123543b761b24
131718117c7b8
14a48766d060
155840cd0914
hex31b069f70c

213413132044 has 96 divisors (see below), whose sum is σ = 451113255936. Its totient is φ = 86366945280.

The previous prime is 213413131979. The next prime is 213413132059. The reversal of 213413132044 is 440231314312.

It is a happy number.

213413132044 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 18696699 + ... + 18708109.

It is an arithmetic number, because the mean of its divisors is an integer number (4699096416).

Almost surely, 2213413132044 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 213413132044, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (225556627968).

213413132044 is an abundant number, since it is smaller than the sum of its proper divisors (237700123892).

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

213413132044 is a wasteful number, since it uses less digits than its factorization.

213413132044 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11815 (or 11813 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 28.

Adding to 213413132044 its reverse (440231314312), we get a palindrome (653644446356).

The spelling of 213413132044 in words is "two hundred thirteen billion, four hundred thirteen million, one hundred thirty-two thousand, forty-four".

Divisors: 1 2 4 7 14 23 28 46 92 113 161 226 257 322 452 514 644 791 1028 1582 1799 2599 3164 3598 5198 5911 7196 10396 11411 11822 18193 22822 23644 29041 36386 41377 45644 58082 72772 79877 82754 116164 159754 165508 203287 262453 319508 406574 524906 667943 813148 1049812 1289443 1335886 1837171 2578886 2671772 2932627 3674342 4675601 5157772 5865254 7348684 9026101 9351202 11730508 18052202 18702404 20528389 29657189 36104404 41056778 59314378 67450421 82113556 118628756 134900842 207600323 269801684 331386851 415200646 472152947 662773702 830401292 944305894 1325547404 1888611788 2319707957 4639415914 7621897573 9278831828 15243795146 30487590292 53353283011 106706566022 213413132044