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21131431041 = 378221122401
BaseRepresentation
bin10011101011100010…
…000000110010000001
32000112200111220212010
4103223202000302001
5321234121243131
613412503523133
71345441125450
oct235342006201
960480456763
1021131431041
118a641619a6
124118a594a9
131cb9c11a66
141046686b97
1583a25eb46
hex4eb880c81

21131431041 has 16 divisors (see below), whose sum is σ = 32204455808. Its totient is φ = 12073536000.

The previous prime is 21131430949. The next prime is 21131431081. The reversal of 21131431041 is 14013413112.

It is not a de Polignac number, because 21131431041 - 213 = 21131422849 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 21131430999 and 21131431017.

It is not an unprimeable number, because it can be changed into a prime (21131431081) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 111441 + ... + 233841.

It is an arithmetic number, because the mean of its divisors is an integer number (2012778488).

Almost surely, 221131431041 is an apocalyptic number.

21131431041 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

21131431041 is a deficient number, since it is larger than the sum of its proper divisors (11073024767).

21131431041 is a wasteful number, since it uses less digits than its factorization.

21131431041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 130632.

The product of its (nonzero) digits is 288, while the sum is 21.

Adding to 21131431041 its reverse (14013413112), we get a palindrome (35144844153).

The spelling of 21131431041 in words is "twenty-one billion, one hundred thirty-one million, four hundred thirty-one thousand, forty-one".

Divisors: 1 3 7 21 8221 24663 57547 122401 172641 367203 856807 2570421 1006258621 3018775863 7043810347 21131431041