Search a number
-
+
212150300652210 = 235171316734718317
BaseRepresentation
bin110000001111001100010111…
…010011110011001010110010
31000211011101000012220101112110
4300033030113103303022302
5210301332303431332320
62031112300324110150
762454232135645404
oct6017142723631262
91024141005811473
10212150300652210
1161663489a757a8
121b964196535356
13914b8c25c681b
143a561b4c96b74
15197d7b217b5e0
hexc0f3174f32b2

212150300652210 has 128 divisors (see below), whose sum is σ = 544033993307904. Its totient is φ = 52760586977280.

The previous prime is 212150300652179. The next prime is 212150300652317. The reversal of 212150300652210 is 12256003051212.

212150300652210 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 (30).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 42603972 + ... + 47322288.

It is an arithmetic number, because the mean of its divisors is an integer number (4250265572718).

Almost surely, 2212150300652210 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 212150300652210, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (272016996653952).

212150300652210 is an abundant number, since it is smaller than the sum of its proper divisors (331883692655694).

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

212150300652210 is a wasteful number, since it uses less digits than its factorization.

212150300652210 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4719148.

The product of its (nonzero) digits is 7200, while the sum is 30.

The spelling of 212150300652210 in words is "two hundred twelve trillion, one hundred fifty billion, three hundred million, six hundred fifty-two thousand, two hundred ten".

Divisors: 1 2 3 5 6 10 15 17 30 34 51 85 102 131 170 255 262 393 510 655 673 786 1310 1346 1965 2019 2227 3365 3930 4038 4454 6681 6730 10095 11135 11441 13362 20190 22270 22882 33405 34323 57205 66810 68646 88163 114410 171615 176326 264489 343230 440815 528978 881630 1322445 1498771 2644890 2997542 4496313 4718317 7493855 8992626 9436634 14154951 14987710 22481565 23591585 28309902 44963130 47183170 70774755 80211389 141549510 160422778 240634167 401056945 481268334 618099527 802113890 1203170835 1236199054 1854298581 2406341670 3090497635 3175427341 3708597162 6180995270 6350854682 9271492905 9526282023 10507691959 15877136705 18542985810 19052564046 21015383918 31523075877 31754273410 47631410115 52538459795 53982264797 63046151754 95262820230 105076919590 107964529594 157615379385 161946794391 269911323985 315230758770 323893588782 415980981671 539822647970 809733971955 831961963342 1247942945013 1619467943910 2079904908355 2495885890026 4159809816710 6239714725065 7071676688407 12479429450130 14143353376814 21215030065221 35358383442035 42430060130442 70716766884070 106075150326105 212150300652210