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10223043433031 = 1113374368365789
BaseRepresentation
bin1001010011000011110011…
…0111110101001001000111
31100012022110110210121211102
42110300330313311021013
52314443243104324111
633424222403530315
72103406355264642
oct224607467651107
940168413717742
1010223043433031
11329162855a550
12119136468999b
1359204b532b70
14274b257a6a59
1512add140613b
hex94c3cdf5247

10223043433031 has 64 divisors (see below), whose sum is σ = 12640421122560. Its totient is φ = 8140743959040.

The previous prime is 10223043432949. The next prime is 10223043433033. The reversal of 10223043433031 is 13033434032201.

It is a de Polignac number, because none of the positive numbers 2k-10223043433031 is a prime.

It is a super-2 number, since 2×102230434330312 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10223043432985 and 10223043433003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10223043433033) 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 63 ways as a sum of consecutive naturals, for example, 155358485 + ... + 155424273.

It is an arithmetic number, because the mean of its divisors is an integer number (197506580040).

Almost surely, 210223043433031 is an apocalyptic number.

10223043433031 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

10223043433031 is a deficient number, since it is larger than the sum of its proper divisors (2417377689529).

10223043433031 is a wasteful number, since it uses less digits than its factorization.

10223043433031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66576.

The product of its (nonzero) digits is 15552, while the sum is 29.

Adding to 10223043433031 its reverse (13033434032201), we get a palindrome (23256477465232).

The spelling of 10223043433031 in words is "ten trillion, two hundred twenty-three billion, forty-three million, four hundred thirty-three thousand, thirty-one".

Divisors: 1 11 13 37 43 143 407 473 481 559 683 1591 5291 6149 7513 8879 17501 20683 25271 29369 65789 97669 227513 277981 323059 328523 381797 723679 855257 1086653 2434193 2828927 3613753 4199767 9407827 11953183 14126489 26776123 31118197 31644509 36776051 44933887 104670299 155391379 348089599 404536561 494272757 584140531 1151373289 1360713887 1662553819 1932157141 6425545841 14967852757 18288092009 21253728551 21613199647 25118042833 71489814217 237745196117 276298471163 786387956387 929367584821 10223043433031