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1010243232312 = 2332923324125849
BaseRepresentation
bin11101011001101110011…
…00000110001000111000
310120120121120212112121120
432230313030012020320
5113022434231413222
62052033242305240
7132662524535046
oct16546714061070
93516546775546
101010243232312
1135a494a70a46
121439604b8220
137435b499152
1436c78a03396
151b42ab6d15c
hexeb37306238

1010243232312 has 128 divisors (see below), whose sum is σ = 2634900840000. Its totient is φ = 322384527360.

The previous prime is 1010243232307. The next prime is 1010243232319. The reversal of 1010243232312 is 2132323420101.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1010243232319) 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, 39069564 + ... + 39095412.

Almost surely, 21010243232312 is an apocalyptic number.

1010243232312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1010243232312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1317450420000).

1010243232312 is an abundant number, since it is smaller than the sum of its proper divisors (1624657607688).

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

1010243232312 is a wasteful number, since it uses less digits than its factorization.

1010243232312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26361 (or 26357 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 1010243232312 its reverse (2132323420101), we get a palindrome (3142566652413).

The spelling of 1010243232312 in words is "one trillion, ten billion, two hundred forty-three million, two hundred thirty-two thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 12 24 29 58 87 116 174 232 233 241 348 466 482 696 699 723 932 964 1398 1446 1864 1928 2796 2892 5592 5784 6757 6989 13514 13978 20271 20967 25849 27028 27956 40542 41934 51698 54056 55912 56153 77547 81084 83868 103396 112306 155094 162168 167736 168459 206792 224612 310188 336918 449224 620376 673836 749621 1347672 1499242 1628437 2248863 2998484 3256874 4497726 4885311 5996968 6022817 6229609 6513748 8995452 9770622 12045634 12459218 13027496 17990904 18068451 18688827 19541244 24091268 24918436 36136902 37377654 39082488 48182536 49836872 72273804 74755308 144547608 149510616 174661693 180658661 349323386 361317322 523985079 541975983 698646772 722634644 1047970158 1083951966 1397293544 1445269288 1451498897 2095940316 2167903932 2902997794 4191880632 4335807864 4354496691 5805995588 8708993382 11611991176 17417986764 34835973528 42093468013 84186936026 126280404039 168373872052 252560808078 336747744104 505121616156 1010243232312