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1141333302300 = 2235231179685609
BaseRepresentation
bin10000100110111100110…
…001000001110000011100
311001002222110222002010220
4100212330301001300130
5122144422311133200
62232153221401340
7145313206000032
oct20467461016034
94032873862126
101141333302300
11400044992864
12165246269250
13838201558b9
143d352b84552
151ea4e5554a0
hex109bcc41c1c

1141333302300 has 144 divisors (see below), whose sum is σ = 3427830604800. Its totient is φ = 292891737600.

The previous prime is 1141333302293. The next prime is 1141333302391. The reversal of 1141333302300 is 32033331411.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 1321896 + ... + 2007504.

It is an arithmetic number, because the mean of its divisors is an integer number (23804379200).

Almost surely, 21141333302300 is an apocalyptic number.

1141333302300 is a gapful number since it is divisible by the number (10) 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 1141333302300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1713915302400).

1141333302300 is an abundant number, since it is smaller than the sum of its proper divisors (2286497302500).

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

1141333302300 is a wasteful number, since it uses less digits than its factorization.

1141333302300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 685836 (or 685829 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 24.

Adding to 1141333302300 its reverse (32033331411), we get a palindrome (1173366633711).

The spelling of 1141333302300 in words is "one trillion, one hundred forty-one billion, three hundred thirty-three million, three hundred two thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 31 50 60 62 75 93 100 124 150 155 179 186 300 310 358 372 465 537 620 716 775 895 930 1074 1550 1790 1860 2148 2325 2685 3100 3580 4475 4650 5370 5549 8950 9300 10740 11098 13425 16647 17900 22196 26850 27745 33294 53700 55490 66588 83235 110980 138725 166470 277450 332940 416175 554900 685609 832350 1371218 1664700 2056827 2742436 3428045 4113654 6856090 8227308 10284135 13712180 17140225 20568270 21253879 34280450 41136540 42507758 51420675 63761637 68560900 85015516 102841350 106269395 122724011 127523274 205682700 212538790 245448022 255046548 318808185 368172033 425077580 490896044 531346975 613620055 637616370 736344066 1062693950 1227240110 1275232740 1472688132 1594040925 1840860165 2125387900 2454480220 3068100275 3188081850 3681720330 3804444341 6136200550 6376163700 7363440660 7608888682 9204300825 11413333023 12272401100 15217777364 18408601650 19022221705 22826666046 36817203300 38044443410 45653332092 57066665115 76088886820 95111108525 114133330230 190222217050 228266660460 285333325575 380444434100 570666651150 1141333302300