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982202212121 = 1321737103109823
BaseRepresentation
bin11100100101011111101…
…00000101111100011001
310110220020100202010100012
432102233310011330121
5112043022231241441
62031114550051305
7130650613023434
oct16225764057431
93426210663305
10982202212121
113496055a7499
1213a435649b35
137180cc18400
143577881681b
151a8390029eb
hexe4afd05f19

982202212121 has 96 divisors (see below), whose sum is σ = 1179941368320. Its totient is φ = 813659738112.

The previous prime is 982202212063. The next prime is 982202212133. The reversal of 982202212121 is 121212202289.

It is a de Polignac number, because none of the positive numbers 2k-982202212121 is a prime.

It is not an unprimeable number, because it can be changed into a prime (982202212151) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1193440916 + ... + 1193441738.

It is an arithmetic number, because the mean of its divisors is an integer number (12291055920).

Almost surely, 2982202212121 is an apocalyptic number.

It is an amenable number.

982202212121 is a deficient number, since it is larger than the sum of its proper divisors (197739156199).

982202212121 is a wasteful number, since it uses less digits than its factorization.

982202212121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1115 (or 1102 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 32.

The spelling of 982202212121 in words is "nine hundred eighty-two billion, two hundred two million, two hundred twelve thousand, one hundred twenty-one".

Divisors: 1 13 17 37 103 109 169 221 481 629 823 1339 1417 1751 1853 2873 3811 4033 6253 8177 10699 11227 13991 17407 18421 22763 24089 30451 49543 52429 64787 68561 84769 89707 106301 139087 145951 181883 190859 295919 313157 395863 415399 517667 644059 681577 842231 891293 1101997 1166191 1441073 1525019 1897363 2364479 2481167 3136453 3319159 5146219 5400187 6729671 7061783 9239821 10949003 11586809 14325961 15160483 18733949 19825247 32255171 40773889 43149067 53319701 56425703 70202431 87485723 91803179 120117673 157076957 243541337 257728211 341873377 530060557 560937871 693156113 733534139 1193441327 1561529749 2042000441 4444353901 5811847409 9011029469 9535943807 26546005733 57776600713 75554016317 982202212121