Search a number
-
+
220121012012121 = 33118915435396959
BaseRepresentation
bin110010000011001011101010…
…101110101000010001011001
31001212101100210210112201101000
4302003023222232220101121
5212322430313033341441
62100054110311015213
764236134610432453
oct6203135256502131
91055340723481330
10220121012012121
1164156884813160
1220830b1566a509
1395a94263117cc
143c4dcb17812d3
151a6acbcb812b6
hexc832eaba8459

220121012012121 has 64 divisors (see below), whose sum is σ = 359981549568000. Its totient is φ = 131822210298240.

The previous prime is 220121012012087. The next prime is 220121012012137. The reversal of 220121012012121 is 121210210121022.

220121012012121 is a `hidden beast` number, since 2 + 201 + 210 + 120 + 12 + 121 = 666.

It is not a de Polignac number, because 220121012012121 - 213 = 220121012003929 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 220121012012094 and 220121012012103.

It is not an unprimeable number, because it can be changed into a prime (220121012012191) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 38087640 + ... + 43484598.

It is an arithmetic number, because the mean of its divisors is an integer number (5624711712000).

Almost surely, 2220121012012121 is an apocalyptic number.

It is an amenable number.

220121012012121 is a deficient number, since it is larger than the sum of its proper divisors (139860537555879).

220121012012121 is a wasteful number, since it uses less digits than its factorization.

220121012012121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5398611 (or 5398605 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 220121012012121 its reverse (121210210121022), we get a palindrome (341331222133143).

The spelling of 220121012012121 in words is "two hundred twenty trillion, one hundred twenty-one billion, twelve million, twelve thousand, one hundred twenty-one".

Divisors: 1 3 9 11 27 33 89 99 267 297 801 979 1543 2403 2937 4629 8811 13887 16973 26433 41661 50919 137327 152757 411981 458271 1235943 1510597 3707829 4531791 5396959 13595373 16190877 40786119 48572631 59366549 145717893 178099647 480329351 534298941 1440988053 1602896823 4322964159 5283622861 8327507737 12968892477 15850868583 24982523211 47552605749 74947569633 91602585107 142657817247 224842708899 274807755321 741148188593 824423265963 2223444565779 2473269797889 6670333697337 8152630074523 20011001092011 24457890223569 73373670670707 220121012012121