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10220131231323 = 31310922993104561
BaseRepresentation
bin1001010010111000111101…
…0010101010011001011011
31100012000221111222110002220
42110232033102222121123
52314421312043400243
633423021413155123
72103244244054646
oct224561722523133
940160844873086
1010220131231323
113290373707282
12119089132baa3
135919a60ac3a0
1427492aad6a5d
1512acb0906783
hex94b8f4aa65b

10220131231323 has 32 divisors (see below), whose sum is σ = 14810479548480. Its totient is φ = 6231280803840.

The previous prime is 10220131231237. The next prime is 10220131231357. The reversal of 10220131231323 is 32313213102201.

It is not a de Polignac number, because 10220131231323 - 29 = 10220131230811 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 10220131231293 and 10220131231302.

It is not an unprimeable number, because it can be changed into a prime (10220131231393) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 97690963 + ... + 97795523.

It is an arithmetic number, because the mean of its divisors is an integer number (462827485890).

Almost surely, 210220131231323 is an apocalyptic number.

10220131231323 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

10220131231323 is a deficient number, since it is larger than the sum of its proper divisors (4590348317157).

10220131231323 is a wasteful number, since it uses less digits than its factorization.

10220131231323 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 127679.

The product of its (nonzero) digits is 1296, while the sum is 24.

Adding to 10220131231323 its reverse (32313213102201), we get a palindrome (42533344333524).

The spelling of 10220131231323 in words is "ten trillion, two hundred twenty billion, one hundred thirty-one million, two hundred thirty-one thousand, three hundred twenty-three".

Divisors: 1 3 13 39 109 327 1417 4251 22993 68979 104561 298909 313683 896727 1359293 2506237 4077879 7518711 11397149 32581081 34191447 97743243 148162937 444488811 2404171073 7212513219 31254223949 93762671847 262054646957 786163940871 3406710410441 10220131231323