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1012222220121 = 327222769114633
BaseRepresentation
bin11101011101011010010…
…01010101011101011001
310120202201111200112112100
432232231021111131121
5113041012342020441
62053001455034013
7133062544623600
oct16565511253531
93522644615470
101012222220121
11360310066862
1214421320b909
13745b5497458
1436dc578ca37
151b4e477ecb6
hexebad255759

1012222220121 has 72 divisors (see below), whose sum is σ = 1710890442144. Its totient is φ = 574991948160.

The previous prime is 1012222220081. The next prime is 1012222220147. The reversal of 1012222220121 is 1210222222101.

It is a happy number.

1012222220121 is a `hidden beast` number, since 101 + 2 + 222 + 220 + 121 = 666.

It is not a de Polignac number, because 1012222220121 - 210 = 1012222219097 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1012222220094 and 1012222220103.

It is not an unprimeable number, because it can be changed into a prime (1012222220021) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 69166621 + ... + 69181253.

It is an arithmetic number, because the mean of its divisors is an integer number (23762367252).

Almost surely, 21012222220121 is an apocalyptic number.

It is an amenable number.

1012222220121 is a deficient number, since it is larger than the sum of its proper divisors (698668222023).

1012222220121 is a wasteful number, since it uses less digits than its factorization.

1012222220121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15571 (or 15561 counting only the distinct ones).

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

Adding to 1012222220121 its reverse (1210222222101), we get a palindrome (2222444442222).

The spelling of 1012222220121 in words is "one trillion, twelve billion, two hundred twenty-two million, two hundred twenty thousand, one hundred twenty-one".

Divisors: 1 3 7 9 21 49 63 147 227 441 681 691 1589 2043 2073 4767 4837 6219 11123 14301 14511 14633 33369 33859 43533 43899 100107 101577 102431 131697 156857 304731 307293 470571 717017 921879 1097999 1411713 2151051 3293997 3321691 6453153 7685993 9881991 9965073 10111403 23057979 23251837 29895219 30334209 69173937 69755511 70779821 91002627 162762859 209266533 212339463 488288577 495458747 637018389 1464865731 1486376241 2295288481 4459128723 6885865443 16067019367 20657596329 48201058101 112469135569 144603174303 337407406707 1012222220121