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21023312121 = 3276173137547
BaseRepresentation
bin10011100101000101…
…100100100011111001
32000021011001220120200
4103211011210203321
5321023431441441
613354042312413
71342656130110
oct234505444371
960234056520
1021023312121
118a09125619
1240a87b8709
131ca06b7976
141036180c77
15830a047b6
hex4e51648f9

21023312121 has 96 divisors (see below), whose sum is σ = 36084142848. Its totient is φ = 11548293120.

The previous prime is 21023312119. The next prime is 21023312131. The reversal of 21023312121 is 12121332012.

21023312121 is a `hidden beast` number, since 210 + 2 + 331 + 2 + 121 = 666.

It is not a de Polignac number, because 21023312121 - 21 = 21023312119 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 21023312094 and 21023312103.

It is not an unprimeable number, because it can be changed into a prime (21023312131) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 38433570 + ... + 38434116.

It is an arithmetic number, because the mean of its divisors is an integer number (375876488).

Almost surely, 221023312121 is an apocalyptic number.

21023312121 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

21023312121 is a deficient number, since it is larger than the sum of its proper divisors (15060830727).

21023312121 is a wasteful number, since it uses less digits than its factorization.

21023312121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 831 (or 828 counting only the distinct ones).

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

Adding to 21023312121 its reverse (12121332012), we get a palindrome (33144644133).

The spelling of 21023312121 in words is "twenty-one billion, twenty-three million, three hundred twelve thousand, one hundred twenty-one".

Divisors: 1 3 7 9 21 61 63 73 137 183 219 411 427 511 547 549 657 959 1233 1281 1533 1641 2877 3829 3843 4453 4599 4923 8357 8631 10001 11487 13359 25071 30003 31171 33367 34461 39931 40077 58499 70007 74939 75213 90009 93513 100101 119793 175497 210021 224817 233569 279517 280539 300303 359379 524573 526491 610061 630063 674451 700707 838551 1573719 1830183 2102121 2435791 2515653 4270427 4571279 4721157 5470547 5490549 7307373 12811281 13713837 16411641 17050537 21922119 31998953 38293829 38433843 41141511 49234923 51151611 95996859 114881487 153454833 287990577 333703367 344644461 1001110101 2335923569 3003330303 7007770707 21023312121