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10221146046 = 232631789891
BaseRepresentation
bin10011000010011101…
…00100111110111110
3222101022220000110200
421201032210332332
5131413103133141
64410122344330
7511201210416
oct114116447676
928338800420
1010221146046
114375630341
121b9305b0a6
13c6b769717
146cd68b646
153ec4e2ab6
hex2613a4fbe

10221146046 has 24 divisors (see below), whose sum is σ = 22149568584. Its totient is φ = 3406471440.

The previous prime is 10221146041. The next prime is 10221146051. The reversal of 10221146046 is 64064112201.

It is an interprime number because it is at equal distance from previous prime (10221146041) and next prime (10221146051).

It is a super-2 number, since 2×102211460462 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10221146041) 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 11 ways as a sum of consecutive naturals, for example, 68761 + ... + 158651.

It is an arithmetic number, because the mean of its divisors is an integer number (922898691).

Almost surely, 210221146046 is an apocalyptic number.

10221146046 is an abundant number, since it is smaller than the sum of its proper divisors (11928422538).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10221146046 is a wasteful number, since it uses less digits than its factorization.

10221146046 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96216 (or 96213 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

Adding to 10221146046 its reverse (64064112201), we get a palindrome (74285258247).

The spelling of 10221146046 in words is "ten billion, two hundred twenty-one million, one hundred forty-six thousand, forty-six".

Divisors: 1 2 3 6 9 18 6317 12634 18951 37902 56853 89891 113706 179782 269673 539346 809019 1618038 567841447 1135682894 1703524341 3407048682 5110573023 10221146046