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10231200221310 = 2335104573623729
BaseRepresentation
bin1001010011100010001100…
…0011100000100001111110
31100020002111221020101211000
42110320203003200201332
52320111444224040220
633432052024111130
72104115451656535
oct224704303404176
940202457211730
1010231200221310
113295033886292
121192a603054a6
13592a4b3b08c3
1427529ac0531c
1512b20c572390
hex94e230e087e

10231200221310 has 64 divisors (see below), whose sum is σ = 27285817204800. Its totient is φ = 2728058397696.

The previous prime is 10231200221303. The next prime is 10231200221311. The reversal of 10231200221310 is 1312200213201.

10231200221310 is a `hidden beast` number, since 1 + 0 + 231 + 200 + 221 + 3 + 10 = 666.

It is a super-2 number, since 2×102312002213102 (a number of 27 digits) contains 22 as substring.

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

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10231200221311) 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 31 ways as a sum of consecutive naturals, for example, 1011526 + ... + 4635254.

It is an arithmetic number, because the mean of its divisors is an integer number (426340893825).

Almost surely, 210231200221310 is an apocalyptic number.

10231200221310 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10231200221310 is an abundant number, since it is smaller than the sum of its proper divisors (17054616983490).

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

10231200221310 is a wasteful number, since it uses less digits than its factorization.

10231200221310 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3634202 (or 3634196 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 10231200221310 its reverse (1312200213201), we get a palindrome (11543400434511).

The spelling of 10231200221310 in words is "ten trillion, two hundred thirty-one billion, two hundred million, two hundred twenty-one thousand, three hundred ten".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 90 135 270 10457 20914 31371 52285 62742 94113 104570 156855 188226 282339 313710 470565 564678 941130 1411695 2823390 3623729 7247458 10871187 18118645 21742374 32613561 36237290 54355935 65227122 97840683 108711870 163067805 195681366 326135610 489203415 978406830 37893334153 75786668306 113680002459 189466670765 227360004918 341040007377 378933341530 568400012295 682080014754 1023120022131 1136800024590 1705200036885 2046240044262 3410400073770 5115600110655 10231200221310