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10221222101123 = 11435310140110067
BaseRepresentation
bin1001010010111101000001…
…0100000000000010000011
31100012010202112122101011002
42110233100110000002003
52314431030324213443
633423321542242215
72103313261233245
oct224572024000203
940163675571132
1010221222101123
113290883455970
121190b3672636b
13591b1b0b4387
142749d193a095
1512ad265872b8
hex94bd0500083

10221222101123 has 64 divisors (see below), whose sum is σ = 11770559691264. Its totient is φ = 8793657600000.

The previous prime is 10221222101093. The next prime is 10221222101159. The reversal of 10221222101123 is 32110122212201.

It is a cyclic number.

It is not a de Polignac number, because 10221222101123 - 210 = 10221222100099 is a prime.

It is a super-2 number, since 2×102212221011232 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10221222101095 and 10221222101104.

It is not an unprimeable number, because it can be changed into a prime (10221222101423) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1015314536 + ... + 1015324602.

It is an arithmetic number, because the mean of its divisors is an integer number (183914995176).

Almost surely, 210221222101123 is an apocalyptic number.

10221222101123 is a deficient number, since it is larger than the sum of its proper divisors (1549337590141).

10221222101123 is a wasteful number, since it uses less digits than its factorization.

10221222101123 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10676.

The product of its (nonzero) digits is 192, while the sum is 20.

Adding to 10221222101123 its reverse (32110122212201), we get a palindrome (42331344313324).

The spelling of 10221222101123 in words is "ten trillion, two hundred twenty-one billion, two hundred twenty-two million, one hundred one thousand, one hundred twenty-three".

Divisors: 1 11 43 53 101 401 473 583 1111 2279 4343 4411 5353 10067 17243 21253 25069 40501 47773 58883 110737 189673 230179 233783 432881 445511 533551 913879 1016767 1741543 2146553 2531969 4036867 4761691 5869061 10052669 11184437 19156973 22942693 23612083 43720981 44405537 53888651 92301779 173585281 213953951 252369623 407723567 480930791 592775161 1015319569 1909438091 2317211993 2353493461 4484959237 9200019893 17532113381 21609349051 25489331923 101200218823 192853247191 237702839561 929202009193 10221222101123