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1220101000101 = 321731574949757
BaseRepresentation
bin10001110000010011101…
…011111100101110100101
311022122021221021201022200
4101300103223330232211
5124442231324000401
62332301234445113
7154102145245614
oct21602353745645
94278257251280
101220101000101
1143049522aa75
12178569433799
138b093b963c9
14430a5dc187b
1521b0e757686
hex11c13afcba5

1220101000101 has 24 divisors (see below), whose sum is σ = 1772703387000. Its totient is φ = 808631327616.

The previous prime is 1220101000073. The next prime is 1220101000189. The reversal of 1220101000101 is 1010001010221.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 788149476 + 1219312850625 = 28074^2 + 1104225^2 .

It is not a de Polignac number, because 1220101000101 - 29 = 1220100999589 is a prime.

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 (1220101002101) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 24496315 + ... + 24546071.

It is an arithmetic number, because the mean of its divisors is an integer number (73862641125).

Almost surely, 21220101000101 is an apocalyptic number.

It is an amenable number.

1220101000101 is a deficient number, since it is larger than the sum of its proper divisors (552602386899).

1220101000101 is a wasteful number, since it uses less digits than its factorization.

1220101000101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 65685 (or 65682 counting only the distinct ones).

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

Adding to 1220101000101 its reverse (1010001010221), we get a palindrome (2230102010322).

The spelling of 1220101000101 in words is "one trillion, two hundred twenty billion, one hundred one million, one hundred one", and thus it is an aban number.

Divisors: 1 3 9 173 519 1557 15749 47247 49757 141741 149271 447813 2724577 8173731 8607961 24521193 25823883 77471649 783622993 2350868979 7052606937 135566777789 406700333367 1220101000101