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10221204411 = 3211829124541
BaseRepresentation
bin10011000010011101…
…10011001110111011
3222101022222222112100
421201032303032323
5131413112020121
64410123514443
7511201542525
oct114116631673
928338888470
1010221204411
114375670180
121b93088a23
13c6b78a162
146cd6a4a15
153ec505026
hex2613b33bb

10221204411 has 24 divisors (see below), whose sum is σ = 16125698160. Its totient is φ = 6187147200.

The previous prime is 10221204373. The next prime is 10221204431. The reversal of 10221204411 is 11440212201.

10221204411 is a `hidden beast` number, since 1 + 0 + 221 + 2 + 0 + 441 + 1 = 666.

It is not a de Polignac number, because 10221204411 - 211 = 10221202363 is a prime.

It is a super-2 number, since 2×102212044112 (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10221204431) 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 23 ways as a sum of consecutive naturals, for example, 19801 + ... + 144341.

It is an arithmetic number, because the mean of its divisors is an integer number (671904090).

Almost surely, 210221204411 is an apocalyptic number.

10221204411 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

10221204411 is a deficient number, since it is larger than the sum of its proper divisors (5904493749).

10221204411 is a wasteful number, since it uses less digits than its factorization.

10221204411 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 125387 (or 125384 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 10221204411 its reverse (11440212201), we get a palindrome (21661416612).

The spelling of 10221204411 in words is "ten billion, two hundred twenty-one million, two hundred four thousand, four hundred eleven".

Divisors: 1 3 9 11 33 99 829 2487 7461 9119 27357 82071 124541 373623 1120869 1369951 4109853 12329559 103244489 309733467 929200401 1135689379 3407068137 10221204411