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10022454323101 = 1117737987710597
BaseRepresentation
bin1001000111011000100011…
…0101000110011110011101
31022111010201002000001102201
42101312020311012132131
52303201441301314401
633152130231051501
72053045522056163
oct221661065063635
938433632001381
1010022454323101
1132145541a9340
12115a503810b91
1357916215bb3c
14269137375233
15125a913b5b01
hex91d88d4679d

10022454323101 has 64 divisors (see below), whose sum is σ = 11898545863680. Its totient is φ = 8340520181760.

The previous prime is 10022454323017. The next prime is 10022454323111. The reversal of 10022454323101 is 10132345422001.

10022454323101 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 10022454323101 - 27 = 10022454322973 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 10022454323101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10022454323111) 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, 945776935 + ... + 945787531.

It is an arithmetic number, because the mean of its divisors is an integer number (185914779120).

Almost surely, 210022454323101 is an apocalyptic number.

10022454323101 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10022454323101 is a deficient number, since it is larger than the sum of its proper divisors (1876091540579).

10022454323101 is a wasteful number, since it uses less digits than its factorization.

10022454323101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11654.

The product of its (nonzero) digits is 5760, while the sum is 28.

Adding to 10022454323101 its reverse (10132345422001), we get a palindrome (20154799745102).

The spelling of 10022454323101 in words is "ten trillion, twenty-two billion, four hundred fifty-four million, three hundred twenty-three thousand, one hundred one".

Divisors: 1 11 17 73 79 187 803 869 877 1241 1343 5767 9647 10597 13651 14773 14909 63437 64021 69283 98039 116567 163999 180149 704231 762113 773581 837163 1078429 1088357 1177811 1981639 5057659 8509391 9208793 9293569 11971927 12955921 13150877 14231771 55634249 61112899 85980203 102229259 144659647 156549481 157990673 672241889 678430537 734191951 945782233 1038919283 1737897403 7462735907 8076111461 11428112113 11533319129 12481263167 53596012423 126866510419 137293894837 589556136653 911132211191 10022454323101