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10223342666352 = 243419763399149
BaseRepresentation
bin1001010011000100111010…
…1101010100001001110000
31100012100020022212020210000
42110301032231110021300
52314444401210310402
633424312213310000
72103416650602204
oct224611655241160
940170208766700
1010223342666352
11329177145aa12
121191428935300
135920985229ba
14274b5341ab04
1512adec812c1c
hex94c4eb54270

10223342666352 has 100 divisors (see below), whose sum is σ = 29590891050600. Its totient is φ = 3407599919232.

The previous prime is 10223342666351. The next prime is 10223342666377. The reversal of 10223342666352 is 25366624332201.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 10223342666298 and 10223342666307.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10223342666351) 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 19 ways as a sum of consecutive naturals, for example, 25413274 + ... + 25812422.

It is an arithmetic number, because the mean of its divisors is an integer number (295908910506).

Almost surely, 210223342666352 is an apocalyptic number.

10223342666352 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10223342666352 is an abundant number, since it is smaller than the sum of its proper divisors (19367548384248).

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

10223342666352 is a wasteful number, since it uses less digits than its factorization.

10223342666352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 418932 (or 418917 counting only the distinct ones).

The product of its (nonzero) digits is 1866240, while the sum is 45.

Adding to 10223342666352 its reverse (25366624332201), we get a palindrome (35589966998553).

The spelling of 10223342666352 in words is "ten trillion, two hundred twenty-three billion, three hundred forty-two million, six hundred sixty-six thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 81 108 144 162 216 324 432 648 1296 19763 39526 59289 79052 118578 158104 177867 237156 316208 355734 399149 474312 533601 711468 798298 948624 1067202 1197447 1422936 1596596 1600803 2134404 2394894 2845872 3193192 3201606 3592341 4268808 4789788 6386384 6403212 7184682 8537616 9579576 10777023 12806424 14369364 19159152 21554046 25612848 28738728 32331069 43108092 57477456 64662138 86216184 129324276 172432368 258648552 517297104 7888381687 15776763374 23665145061 31553526748 47330290122 63107053496 70995435183 94660580244 126214106992 141990870366 189321160488 212986305549 283981740732 378642320976 425972611098 567963481464 638958916647 851945222196 1135926962928 1277917833294 1703890444392 2555835666588 3407780888784 5111671333176 10223342666352