Search a number
-
+
200013310212 = 223172933838737
BaseRepresentation
bin1011101001000110111…
…0001110100100000100
3201010021021022220200020
42322101232032210010
511234111401411322
6231515043215140
720310342041202
oct2722156164404
9633237286606
10200013310212
1177909332381
12329200774b0
1315b26ccc641
149975b88072
15530970305c
hex2e91b8e904

200013310212 has 96 divisors (see below), whose sum is σ = 497188564992. Its totient is φ = 62364696576.

The previous prime is 200013310199. The next prime is 200013310241. The reversal of 200013310212 is 212013310002.

It is a junction number, because it is equal to n+sod(n) for n = 200013310191 and 200013310200.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 22888308 + ... + 22897044.

It is an arithmetic number, because the mean of its divisors is an integer number (5179047552).

Almost surely, 2200013310212 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 200013310212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (248594282496).

200013310212 is an abundant number, since it is smaller than the sum of its proper divisors (297175254780).

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

200013310212 is a wasteful number, since it uses less digits than its factorization.

200013310212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9437 (or 9435 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 200013310212 its reverse (212013310002), we get a palindrome (412026620214).

The spelling of 200013310212 in words is "two hundred billion, thirteen million, three hundred ten thousand, two hundred twelve".

Divisors: 1 2 3 4 6 12 17 34 51 68 102 204 293 383 586 766 879 1149 1172 1532 1758 2298 3516 4596 4981 6511 8737 9962 13022 14943 17474 19533 19924 26044 26211 29886 34948 39066 52422 59772 78132 104844 112219 148529 224438 297058 336657 445587 448876 594116 673314 891174 1346628 1782348 1907723 2559941 3346271 3815446 5119882 5723169 6692542 7630892 7679823 10038813 10239764 11446338 13385084 15359646 20077626 22892676 30719292 40155252 43518997 56886607 87037994 113773214 130556991 170659821 174075988 227546428 261113982 341319642 522227964 682639284 980457403 1960914806 2941372209 3921829612 5882744418 11765488836 16667775851 33335551702 50003327553 66671103404 100006655106 200013310212