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20400031221123 = 3132118672757163
BaseRepresentation
bin1001010001101110000001…
…00111010100010110000011
32200020020001020210001222110
410220313000213110112003
510133213230443033443
6111215351151310403
74203565535215401
oct450670047242603
980206036701873
1020400031221123
116555671884314
1223557b521b403
13b4c93a233ac8
1450751c62a471
152559b939a233
hex128dc09d4583

20400031221123 has 16 divisors (see below), whose sum is σ = 27235221877376. Its totient is φ = 13582441730880.

The previous prime is 20400031221077. The next prime is 20400031221149. The reversal of 20400031221123 is 32112213000402.

It is not a de Polignac number, because 20400031221123 - 28 = 20400031220867 is a prime.

It is a super-2 number, since 2×204000312211232 (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 20400031221123.

It is not an unprimeable number, because it can be changed into a prime (20400031228123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6020340 + ... + 8777502.

It is an arithmetic number, because the mean of its divisors is an integer number (1702201367336).

Almost surely, 220400031221123 is an apocalyptic number.

20400031221123 is a deficient number, since it is larger than the sum of its proper divisors (6835190656253).

20400031221123 is a wasteful number, since it uses less digits than its factorization.

20400031221123 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2760354.

The product of its (nonzero) digits is 576, while the sum is 21.

Adding to 20400031221123 its reverse (32112213000402), we get a palindrome (52512244221525).

The spelling of 20400031221123 in words is "twenty trillion, four hundred billion, thirty-one million, two hundred twenty-one thousand, one hundred twenty-three".

Divisors: 1 3 1321 1867 3963 5601 2466307 2757163 7398921 8271489 3642212323 5147623321 10926636969 15442869963 6800010407041 20400031221123