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1220310130221 = 327131978421061
BaseRepresentation
bin10001110000100000001…
…001101101111000101101
311022122211111210121220200
4101300200021231320231
5124443143343131341
62332334105104113
7154110264650460
oct21604011557055
94278744717820
101220310130221
11430592289586
12178607488039
138b0c82c9340
14430c5a9d2d7
1521b22cb6db6
hex11c2026de2d

1220310130221 has 48 divisors (see below), whose sum is σ = 2283621325440. Its totient is φ = 609802162560.

The previous prime is 1220310130159. The next prime is 1220310130223.

1220310130221 is a `hidden beast` number, since 1 + 2 + 2 + 0 + 310 + 130 + 221 = 666.

1220310130221 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 1220310130221 - 225 = 1220276575789 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 1220310130194 and 1220310130203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1220310130223) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 39194970 + ... + 39226091.

It is an arithmetic number, because the mean of its divisors is an integer number (47575444280).

Almost surely, 21220310130221 is an apocalyptic number.

It is an amenable number.

1220310130221 is a deficient number, since it is larger than the sum of its proper divisors (1063311195219).

1220310130221 is a wasteful number, since it uses less digits than its factorization.

1220310130221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 78421106 (or 78421103 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

It can be divided in two parts, 1220310 and 130221, that added together give a palindrome (1350531).

The spelling of 1220310130221 in words is "one trillion, two hundred twenty billion, three hundred ten million, one hundred thirty thousand, two hundred twenty-one".

Divisors: 1 3 7 9 13 19 21 39 57 63 91 117 133 171 247 273 399 741 819 1197 1729 2223 5187 15561 78421061 235263183 548947427 705789549 1019473793 1490000159 1646842281 3058421379 4470000477 4940526843 7136316551 9175264137 10430001113 13410001431 19370002067 21408949653 31290003339 58110006201 64226848959 93870010017 135590014469 174330018603 406770043407 1220310130221