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10211202011122 = 27331679773883
BaseRepresentation
bin1001010010010111101100…
…0100011000111111110010
31100011011220020002001201121
42110211323010120333302
52314300020203323442
633414543401052454
72102510050666000
oct224457304307762
940134806061647
1010211202011122
113287601369a52
12118abbaa8712a
13590bb21b1838
14274320c67a70
1512a93ba5b967
hex9497b118ff2

10211202011122 has 128 divisors (see below), whose sum is σ = 18906738278400. Its totient is φ = 4128786224640.

The previous prime is 10211202011107. The next prime is 10211202011167. The reversal of 10211202011122 is 22111020211201.

It is a junction number, because it is equal to n+sod(n) for n = 10211202011096 and 10211202011105.

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, 138170793 + ... + 138244675.

It is an arithmetic number, because the mean of its divisors is an integer number (147708892800).

Almost surely, 210211202011122 is an apocalyptic number.

10211202011122 is a deficient number, since it is larger than the sum of its proper divisors (8695536267278).

10211202011122 is an equidigital number, since it uses as much as digits as its factorization.

10211202011122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74101 (or 74087 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 10211202011122 its reverse (22111020211201), we get a palindrome (32322222222323).

The spelling of 10211202011122 in words is "ten trillion, two hundred eleven billion, two hundred two million, eleven thousand, one hundred twenty-two".

Divisors: 1 2 7 14 31 49 62 67 97 98 134 194 217 343 434 469 679 686 938 1358 1519 2077 3007 3038 3283 4154 4753 6014 6499 6566 9506 10633 12998 14539 21049 21266 22981 29078 33271 42098 45493 45962 66542 73883 90986 101773 147343 147766 201469 203546 294686 318451 402938 517181 636902 712411 1031401 1034362 1410283 1424822 2062802 2229157 2290373 2820566 3620267 4458314 4580746 4950161 7166651 7240534 9871981 9900322 14333302 16032611 19743962 25341869 32065222 34651127 50166557 50683738 69103867 69302254 100333114 112228277 138207734 153454991 222166181 224456554 242557889 306909982 351165899 444332362 480165617 485115778 702331798 785597939 960331234 1074184937 1555163267 1571195878 1697905223 2148369874 2458161293 3110326534 3361159319 3395810446 4916322586 6722318638 7519294559 10886142869 14885134127 15038589118 21772285738 23528115233 29770268254 47056230466 52635061913 76203000083 104195938889 105270123826 152406000166 164696806631 208391877778 329393613262 729371572223 1458743144446 5105601005561 10211202011122