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21223100231010 = 23251313793474583
BaseRepresentation
bin1001101001101011000110…
…10110011010110101100010
32210010220112100022221022200
410310311203112122311202
510240204402124343020
6113045431352514030
74320214131321126
oct464654326326542
983126470287280
1021223100231010
116842736882637
1224692193ab916
13bac439652592
145352bc6c5586
1526c0dca7e590
hex134d6359ad62

21223100231010 has 96 divisors (see below), whose sum is σ = 55616058546048. Its totient is φ = 5614798625280.

The previous prime is 21223100231009. The next prime is 21223100231051. The reversal of 21223100231010 is 1013200132212.

21223100231010 is a `hidden beast` number, since 2 + 122 + 310 + 0 + 231 + 0 + 1 + 0 = 666.

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

It is a Curzon number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 44482179 + ... + 44956761.

It is an arithmetic number, because the mean of its divisors is an integer number (579333943188).

Almost surely, 221223100231010 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21223100231010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27808029273024).

21223100231010 is an abundant number, since it is smaller than the sum of its proper divisors (34392958315038).

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

21223100231010 is a wasteful number, since it uses less digits than its factorization.

21223100231010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 478520 (or 478517 counting only the distinct ones).

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

Adding to 21223100231010 its reverse (1013200132212), we get a palindrome (22236300363222).

The spelling of 21223100231010 in words is "twenty-one trillion, two hundred twenty-three billion, one hundred million, two hundred thirty-one thousand, ten".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 131 262 393 655 786 1179 1310 1965 2358 3793 3930 5895 7586 11379 11790 18965 22758 34137 37930 56895 68274 113790 170685 341370 474583 496883 949166 993766 1423749 1490649 2372915 2484415 2847498 2981298 4271247 4471947 4745830 4968830 7118745 7453245 8542494 8943894 14237490 14906490 21356235 22359735 42712470 44719470 62170373 124340746 186511119 310851865 373022238 559533357 621703730 932555595 1119066714 1800093319 1865111190 2797666785 3600186638 5400279957 5595333570 9000466595 10800559914 16200839871 18000933190 27001399785 32401679742 54002799570 81004199355 162008398710 235812224789 471624449578 707436674367 1179061123945 1414873348734 2122310023101 2358122247890 3537183371835 4244620046202 7074366743670 10611550115505 21223100231010