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101101221 = 32132983359
BaseRepresentation
bin1100000011010…
…10111010100101
321001020110210200
412001222322211
5201340214341
614010541113
72335226514
oct601527245
9231213720
10101101221
1152083931
1229a37799
1317c3ab10
14d5da67b
158d20db6
hex606aea5

101101221 has 48 divisors (see below), whose sum is σ = 165110400. Its totient is φ = 59181696.

The previous prime is 101101219. The next prime is 101101237. The reversal of 101101221 is 122101101.

It is a happy number.

It is not a de Polignac number, because 101101221 - 21 = 101101219 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101101321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 281440 + ... + 281798.

It is an arithmetic number, because the mean of its divisors is an integer number (3439800).

Almost surely, 2101101221 is an apocalyptic number.

It is an amenable number.

101101221 is a deficient number, since it is larger than the sum of its proper divisors (64009179).

101101221 is a wasteful number, since it uses less digits than its factorization.

101101221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 490 (or 487 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

The square root of 101101221 is about 10054.9102929862. The cubic root of 101101221 is about 465.8564721580.

Adding to 101101221 its reverse (122101101), we get a palindrome (223202322).

The spelling of 101101221 in words is "one hundred one million, one hundred one thousand, two hundred twenty-one".

Divisors: 1 3 9 13 29 39 83 87 117 249 261 359 377 747 1077 1079 1131 2407 3231 3237 3393 4667 7221 9711 10411 14001 21663 29797 31233 31291 42003 89391 93699 93873 135343 268173 281619 387361 406029 864113 1162083 1218087 2592339 3486249 7777017 11233469 33700407 101101221