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223202012121 = 321139717093323
BaseRepresentation
bin1100111111011111100…
…0000110101111011001
3210100010022222000121200
43033313320012233121
512124104203341441
6250312041424413
722061103541134
oct3176770065731
9710108860550
10223202012121
1186728798330
1237311a9b109
13180811bb42a
14ab3575721b
155c153897b6
hex33f7e06bd9

223202012121 has 48 divisors (see below), whose sum is σ = 352910675520. Its totient is φ = 134813669760.

The previous prime is 223202012083. The next prime is 223202012123. The reversal of 223202012121 is 121210202322.

223202012121 is a `hidden beast` number, since 22 + 320 + 201 + 2 + 121 = 666.

It is a de Polignac number, because none of the positive numbers 2k-223202012121 is a prime.

It is a super-3 number, since 3×2232020121213 (a number of 35 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 223202012094 and 223202012103.

It is not an unprimeable number, because it can be changed into a prime (223202012123) 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, 67167166 + ... + 67170488.

It is an arithmetic number, because the mean of its divisors is an integer number (7352305740).

Almost surely, 2223202012121 is an apocalyptic number.

It is an amenable number.

223202012121 is a deficient number, since it is larger than the sum of its proper divisors (129708663399).

223202012121 is a wasteful number, since it uses less digits than its factorization.

223202012121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5446 (or 5443 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 223202012121 its reverse (121210202322), we get a palindrome (344412214443).

It can be divided in two parts, 22320201 and 2121, that added together give a palindrome (22322322).

The spelling of 223202012121 in words is "two hundred twenty-three billion, two hundred two million, twelve thousand, one hundred twenty-one".

Divisors: 1 3 9 11 33 99 397 1191 1709 3323 3573 4367 5127 9969 13101 15381 18799 29907 36553 39303 56397 109659 169191 328977 678473 1319231 2035419 3957693 5679007 6106257 7463203 11873079 14511541 17037021 22389609 43534623 51111063 62469077 67168827 130603869 187407231 562221693 2254565779 6763697337 20291092011 24800223569 74400670707 223202012121