Search a number
-
+
223121301021 = 32173744478863
BaseRepresentation
bin1100111111001100010…
…0001101111000011101
3210022220201002110210200
43033303010031320131
512123423023113041
6250300035454113
722056103523613
oct3176304157035
9708821073720
10223121301021
1186697180943
12372aaa57339
131806a56c498
14ab28b476b3
155c0d2451b6
hex33f310de1d

223121301021 has 48 divisors (see below), whose sum is σ = 350585524224. Its totient is φ = 136167962112.

The previous prime is 223121301001. The next prime is 223121301061. The reversal of 223121301021 is 120103121322.

223121301021 is a `hidden beast` number, since 223 + 121 + 301 + 0 + 21 = 666.

It is not a de Polignac number, because 223121301021 - 25 = 223121300989 is a prime.

It is a super-3 number, since 3×2231213010213 (a number of 35 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 223121300985 and 223121301003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (223121301001) 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, 25170036 + ... + 25178898.

It is an arithmetic number, because the mean of its divisors is an integer number (7303865088).

Almost surely, 2223121301021 is an apocalyptic number.

It is an amenable number.

223121301021 is a deficient number, since it is larger than the sum of its proper divisors (127464223203).

223121301021 is a wasteful number, since it uses less digits than its factorization.

223121301021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13370 (or 13367 counting only the distinct ones).

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

Adding to 223121301021 its reverse (120103121322), we get a palindrome (343224422343).

The spelling of 223121301021 in words is "two hundred twenty-three billion, one hundred twenty-one million, three hundred one thousand, twenty-one".

Divisors: 1 3 9 17 37 51 111 153 333 629 1887 4447 5661 8863 13341 26589 40023 75599 79767 150671 164539 226797 327931 452013 493617 680391 983793 1356039 1480851 2797163 2951379 5574827 8391489 16724481 25174467 39413761 50173443 118241283 354723849 670033937 1458309157 2010101811 4374927471 6030305433 13124782413 24791255669 74373767007 223121301021