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10103022300312 = 23322343141880439
BaseRepresentation
bin1001001100000100101100…
…0011100010110010011000
31022202211122222212100200200
42103001023003202302120
52311011442202102222
633253133034302200
72061630211425054
oct223011303426230
938684588770620
1010103022300312
113245738781077
121172049887960
13583931b59936
1426cdbb71cc64
15127c09678eac
hex9304b0e2c98

10103022300312 has 96 divisors (see below), whose sum is σ = 29216020204800. Its totient is φ = 3146340593088.

The previous prime is 10103022300311. The next prime is 10103022300353. The reversal of 10103022300312 is 21300322030101.

10103022300312 is a `hidden beast` number, since 1 + 0 + 1 + 0 + 30 + 22 + 300 + 312 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10103022300311) 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, 70869012 + ... + 71011427.

It is an arithmetic number, because the mean of its divisors is an integer number (304333543800).

Almost surely, 210103022300312 is an apocalyptic number.

10103022300312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10103022300312 is an abundant number, since it is smaller than the sum of its proper divisors (19112997904488).

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

10103022300312 is a wasteful number, since it uses less digits than its factorization.

10103022300312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 141880517 (or 141880510 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 10103022300312 its reverse (21300322030101), we get a palindrome (31403344330413).

The spelling of 10103022300312 in words is "ten trillion, one hundred three billion, twenty-two million, three hundred thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 18 23 24 36 43 46 69 72 86 92 129 138 172 184 207 258 276 344 387 414 516 552 774 828 989 1032 1548 1656 1978 2967 3096 3956 5934 7912 8901 11868 17802 23736 35604 71208 141880439 283760878 425641317 567521756 851282634 1135043512 1276923951 1702565268 2553847902 3263250097 3405130536 5107695804 6100858877 6526500194 9789750291 10215391608 12201717754 13053000388 18302576631 19579500582 24403435508 26106000776 29369250873 36605153262 39159001164 48806871016 54907729893 58738501746 73210306524 78318002328 109815459786 117477003492 140319754171 146420613048 219630919572 234954006984 280639508342 420959262513 439261839144 561279016684 841918525026 1122558033368 1262877787539 1683837050052 2525755575078 3367674100104 5051511150156 10103022300312