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10223110330004 = 221121312971252721
BaseRepresentation
bin1001010011000100000011…
…0111000001011010010100
31100012022122010200100020002
42110301000313001122110
52314443412221030004
633424233153430432
72103411130015565
oct224610067013224
940168563610202
1010223110330004
1132916622a1200
121191382b6b418
1359205c356180
14274b3061c16c
1512add721c61e
hex94c40dc1694

10223110330004 has 72 divisors (see below), whose sum is σ = 21193716155304. Its totient is φ = 4286106316800.

The previous prime is 10223110330001. The next prime is 10223110330051. The reversal of 10223110330004 is 40003301132201.

It can be written as a sum of positive squares in 4 ways, for example, as 904682517904 + 9318427812100 = 951148^2 + 3052610^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10223110330001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7534364 + ... + 8787084.

Almost surely, 210223110330004 is an apocalyptic number.

It is an amenable number.

10223110330004 is an abundant number, since it is smaller than the sum of its proper divisors (10970605825300).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10223110330004 is a wasteful number, since it uses less digits than its factorization.

10223110330004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1254057 (or 1254044 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 20.

Adding to 10223110330004 its reverse (40003301132201), we get a palindrome (50226411462205).

The spelling of 10223110330004 in words is "ten trillion, two hundred twenty-three billion, one hundred ten million, three hundred thirty thousand, four".

Divisors: 1 2 4 11 13 22 26 44 52 121 143 242 286 484 572 1297 1573 2594 3146 5188 6292 14267 16861 28534 33722 57068 67444 156937 185471 313874 370942 627748 741884 1252721 2040181 2505442 4080362 5010884 8160724 13779931 16285373 27559862 32570746 55119724 65141492 151579241 179139103 303158482 358278206 606316964 716556412 1624779137 1970530133 3249558274 3941060266 6499116548 7882120532 17872570507 21122128781 35745141014 42244257562 71490282028 84488515124 196598275577 232343416591 393196551154 464686833182 786393102308 929373666364 2555777582501 5111555165002 10223110330004