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24731022121 = 132120972
BaseRepresentation
bin10111000010000101…
…010111001100101001
32100211112210002112021
4113002011113030221
5401122120201441
615210011344441
71533600135211
oct270205271451
970745702467
1024731022121
11a541020a63
124962452121
1324418aaa00
1412a876b241
1599b2903d1
hex5c2157329

24731022121 has 9 divisors (see below), whose sum is σ = 26781959781. Its totient is φ = 22826748672.

The previous prime is 24731022103. The next prime is 24731022137. The reversal of 24731022121 is 12122013742.

The square root of 24731022121 is 157261.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 17705229721 + 7025792400 = 133061^2 + 83820^2 .

It is not a de Polignac number, because 24731022121 - 219 = 24730497833 is a prime.

It is a super-2 number, since 2×247310221212 (a number of 22 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (24731022161) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 2038345 + ... + 2050441.

It is an arithmetic number, because the mean of its divisors is an integer number (2975773309).

Almost surely, 224731022121 is an apocalyptic number.

24731022121 is the 157261-st square number.

24731022121 is the 78631-st centered octagonal number.

It is an amenable number.

24731022121 is a deficient number, since it is larger than the sum of its proper divisors (2050937660).

24731022121 is an frugal number, since it uses more digits than its factorization.

24731022121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24220 (or 12110 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 25.

Multiplying 24731022121 by its sum of digits (25), we get a square (618275553025 = 7863052).

Adding to 24731022121 its reverse (12122013742), we get a palindrome (36853035863).

The spelling of 24731022121 in words is "twenty-four billion, seven hundred thirty-one million, twenty-two thousand, one hundred twenty-one".

Divisors: 1 13 169 12097 157261 2044393 146337409 1902386317 24731022121