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10223131301344 = 2513191293412361
BaseRepresentation
bin1001010011000100001000…
…0111000001010111100000
31100012022200121010210111101
42110301002013001113200
52314443433103120334
633424235223124144
72103411503201533
oct224610207012740
940168617123441
1010223131301344
113291673115295
121191389ba3654
135920637b9750
14274b3331aa1a
1512add8eb1214
hex94c421c15e0

10223131301344 has 48 divisors (see below), whose sum is σ = 22815794065680. Its totient is φ = 4470033116160.

The previous prime is 10223131301323. The next prime is 10223131301359. The reversal of 10223131301344 is 44310313132201.

It is a super-3 number, since 3×102231313013443 (a number of 40 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 646698277 + ... + 646714084.

It is an arithmetic number, because the mean of its divisors is an integer number (475329043035).

Almost surely, 210223131301344 is an apocalyptic number.

It is an amenable number.

10223131301344 is an abundant number, since it is smaller than the sum of its proper divisors (12592662764336).

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

10223131301344 is a wasteful number, since it uses less digits than its factorization.

10223131301344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1293412403 (or 1293412395 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 28.

Adding to 10223131301344 its reverse (44310313132201), we get a palindrome (54533444433545).

The spelling of 10223131301344 in words is "ten trillion, two hundred twenty-three billion, one hundred thirty-one million, three hundred one thousand, three hundred forty-four".

Divisors: 1 2 4 8 13 16 19 26 32 38 52 76 104 152 208 247 304 416 494 608 988 1976 3952 7904 1293412361 2586824722 5173649444 10347298888 16814360693 20694597776 24574834859 33628721386 41389195552 49149669718 67257442772 98299339436 134514885544 196598678872 269029771088 319472853167 393197357744 538059542176 638945706334 786394715488 1277891412668 2555782825336 5111565650672 10223131301344