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211221122013210 = 235171937589130957
BaseRepresentation
bin110000000001101010111111…
…111100100101100000011010
31000200212112122011100212101210
4300001222333330211200122
5210141121324213410320
62025121351025123550
762330136210560451
oct6001527774454032
91020775564325353
10211221122013210
1161335413942621
121b83409a4895b6
1390b20b299726a
143a2322a591b98
15196452d1bc0e0
hexc01abff2581a

211221122013210 has 128 divisors (see below), whose sum is σ = 580270428391680. Its totient is φ = 48864878014464.

The previous prime is 211221122013163. The next prime is 211221122013257. The reversal of 211221122013210 is 12310221122112.

It is an interprime number because it is at equal distance from previous prime (211221122013163) and next prime (211221122013257).

It is a super-2 number, since 2×2112211220132102 (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 294206949 + ... + 294924008.

It is an arithmetic number, because the mean of its divisors is an integer number (4533362721810).

Almost surely, 2211221122013210 is an apocalyptic number.

211221122013210 is an abundant number, since it is smaller than the sum of its proper divisors (369049306378470).

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

211221122013210 is a wasteful number, since it uses less digits than its factorization.

211221122013210 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 589131040.

The product of its (nonzero) digits is 192, while the sum is 21.

Adding to 211221122013210 its reverse (12310221122112), we get a palindrome (223531343135322).

The spelling of 211221122013210 in words is "two hundred eleven trillion, two hundred twenty-one billion, one hundred twenty-two million, thirteen thousand, two hundred ten".

Divisors: 1 2 3 5 6 10 15 17 19 30 34 37 38 51 57 74 85 95 102 111 114 170 185 190 222 255 285 323 370 510 555 570 629 646 703 969 1110 1258 1406 1615 1887 1938 2109 3145 3230 3515 3774 4218 4845 6290 7030 9435 9690 10545 11951 18870 21090 23902 35853 59755 71706 119510 179265 358530 589130957 1178261914 1767392871 2945654785 3534785742 5891309570 8836964355 10015226269 11193488183 17673928710 20030452538 21797845409 22386976366 30045678807 33580464549 43595690818 50076131345 55967440915 60091357614 65393536227 67160929098 100152262690 108989227045 111934881830 130787072454 150228394035 167902322745 190289299111 217978454090 300456788070 326967681135 335804645490 370563371953 380578598222 414159062771 570867897333 653935362270 741126743906 828318125542 951446495555 1111690115859 1141735794666 1242477188313 1852816859765 1902892991110 2070795313855 2223380231718 2484954376626 2854339486665 3705633719530 4141590627710 5558450579295 5708678973330 6212385941565 7040704067107 11116901158590 12424771883130 14081408134214 21122112201321 35203520335535 42244224402642 70407040671070 105610561006605 211221122013210