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100101222 = 232131512833
BaseRepresentation
bin1011111011101…
…10110001100110
320222100200001200
411331312301212
5201111214342
613533303330
72323563204
oct575666146
9228320050
10100101222
1151560591
1229634b46
131797a8c0
14d41a074
158bc494c
hex5f76c66

100101222 has 48 divisors (see below), whose sum is σ = 235199328. Its totient is φ = 30585600.

The previous prime is 100101217. The next prime is 100101223. The reversal of 100101222 is 222101001.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100101223) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 33918 + ... + 36750.

It is an arithmetic number, because the mean of its divisors is an integer number (4899986).

Almost surely, 2100101222 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100101222, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117599664).

100101222 is an abundant number, since it is smaller than the sum of its proper divisors (135098106).

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

100101222 is a wasteful number, since it uses less digits than its factorization.

100101222 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3005 (or 3002 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

The square root of 100101222 is about 10005.0598199111. The cubic root of 100101222 is about 464.3154408513.

Adding to 100101222 its reverse (222101001), we get a palindrome (322202223).

The spelling of 100101222 in words is "one hundred million, one hundred one thousand, two hundred twenty-two".

Divisors: 1 2 3 6 9 13 18 26 39 78 117 151 234 302 453 906 1359 1963 2718 2833 3926 5666 5889 8499 11778 16998 17667 25497 35334 36829 50994 73658 110487 220974 331461 427783 662922 855566 1283349 2566698 3850047 5561179 7700094 11122358 16683537 33367074 50050611 100101222