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10210221001211 = 7113161593911807
BaseRepresentation
bin1001010010010100000010…
…0110001000100111111011
31100011002100212010121010012
42110211000212020213323
52314241013034014321
633414302154412135
72102443536356540
oct224450046104773
940132325117105
1010210221001211
113287148636760
12118a98643104b
13590a86b931ba
1427426a860bc7
1512a8d087c05b
hex949409889fb

10210221001211 has 64 divisors (see below), whose sum is σ = 13359053537280. Its totient is φ = 7571235024000.

The previous prime is 10210221001199. The next prime is 10210221001213. The reversal of 10210221001211 is 11210012201201.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-10210221001211 is a prime.

It is a super-2 number, since 2×102102210012112 (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10210221001213) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 864754070 + ... + 864765876.

It is an arithmetic number, because the mean of its divisors is an integer number (208735211520).

Almost surely, 210210221001211 is an apocalyptic number.

10210221001211 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

10210221001211 is a deficient number, since it is larger than the sum of its proper divisors (3148832536069).

10210221001211 is a wasteful number, since it uses less digits than its factorization.

10210221001211 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17856.

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 10210221001211 its reverse (11210012201201), we get a palindrome (21420233202412).

The spelling of 10210221001211 in words is "ten trillion, two hundred ten billion, two hundred twenty-one million, one thousand, two hundred eleven".

Divisors: 1 7 11 31 61 77 217 341 427 671 1891 2387 4697 5939 11807 13237 20801 41573 65329 82649 129877 145607 184109 362279 366017 457303 720227 909139 1288763 2025199 2535953 2562119 3985069 4026187 5041589 7922497 11230649 14176393 22327037 27895483 28183309 55457479 70121773 78614543 123537139 156289259 245597407 490852411 771339503 864759973 1719181849 2173774963 4277428153 5399376521 15216424741 23911524593 29941997071 47051709683 132600272743 167380672151 329361967781 928201909201 1458603000173 10210221001211