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1121342336766 = 2332343109192629
BaseRepresentation
bin10000010100010101001…
…101100010111011111110
310222012101021102210212000
4100110111031202323332
5121333002114234031
62215045413523130
7144004623411501
oct20242515427376
93865337383760
101121342336766
113a2616574543
121613a73434a6
13819855c2202
143c3b7b71138
151e27e4c13e6
hex10515362efe

1121342336766 has 128 divisors (see below), whose sum is σ = 2685108096000. Its totient is φ = 346009200768.

The previous prime is 1121342336747. The next prime is 1121342336801. The reversal of 1121342336766 is 6676332431211.

1121342336766 is a `hidden beast` number, since 1 + 1 + 213 + 42 + 336 + 7 + 66 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5724940 + ... + 5917568.

It is an arithmetic number, because the mean of its divisors is an integer number (20977407000).

Almost surely, 21121342336766 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1121342336766, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1342554048000).

1121342336766 is an abundant number, since it is smaller than the sum of its proper divisors (1563765759234).

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

1121342336766 is a wasteful number, since it uses less digits than its factorization.

1121342336766 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 192815 (or 192809 counting only the distinct ones).

The product of its digits is 653184, while the sum is 45.

Adding to 1121342336766 its reverse (6676332431211), we get a palindrome (7797674767977).

The spelling of 1121342336766 in words is "one trillion, one hundred twenty-one billion, three hundred forty-two million, three hundred thirty-six thousand, seven hundred sixty-six".

Divisors: 1 2 3 6 9 18 23 27 43 46 54 69 86 109 129 138 207 218 258 327 387 414 621 654 774 981 989 1161 1242 1962 1978 2322 2507 2943 2967 4687 5014 5886 5934 7521 8901 9374 14061 15042 17802 22563 26703 28122 42183 45126 53406 67689 84366 107801 126549 135378 192629 215602 253098 323403 385258 577887 646806 970209 1155774 1733661 1940418 2910627 3467322 4430467 5200983 5821254 8283047 8860934 10401966 13291401 16566094 20996561 24849141 26582802 39874203 41993122 49698282 62989683 74547423 79748406 119622609 125979366 149094846 188969049 190510081 223642269 239245218 377938098 381020162 447284538 482920903 566907147 571530243 902852123 965841806 1133814294 1143060486 1448762709 1714590729 1805704246 2708556369 2897525418 3429181458 4346288127 5143772187 5417112738 8125669107 8692576254 10287544374 13038864381 16251338214 20765598829 24377007321 26077728762 41531197658 48754014642 62296796487 124593592974 186890389461 373780778922 560671168383 1121342336766