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1141323221120 = 27510765325523
BaseRepresentation
bin10000100110111100001…
…010100100100010000000
311001002221202222220100212
4100212330022210202000
5122144412221033440
62232152221333252
7145313024211605
oct20467412444200
94032852886325
101141323221120
1140003a227705
12165242a07228
138381b0360c4
143d3516bc6ac
151ea4d713465
hex109bc2a4880

1141323221120 has 128 divisors (see below), whose sum is σ = 2758301087040. Its totient is φ = 451552374784.

The previous prime is 1141323221111. The next prime is 1141323221179. The reversal of 1141323221120 is 211223231411.

It is a tau number, because it is divible by the number of its divisors (128).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 44704679 + ... + 44730201.

Almost surely, 21141323221120 is an apocalyptic number.

1141323221120 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 1141323221120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1379150543520).

1141323221120 is an abundant number, since it is smaller than the sum of its proper divisors (1616977865920).

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

1141323221120 is a wasteful number, since it uses less digits than its factorization.

1141323221120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26302 (or 26290 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 23.

Adding to 1141323221120 its reverse (211223231411), we get a palindrome (1352546452531).

The spelling of 1141323221120 in words is "one trillion, one hundred forty-one billion, three hundred twenty-three million, two hundred twenty-one thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 107 128 160 214 320 428 535 640 653 856 1070 1306 1712 2140 2612 3265 3424 4280 5224 6530 6848 8560 10448 13060 13696 17120 20896 25523 26120 34240 41792 51046 52240 68480 69871 83584 102092 104480 127615 139742 204184 208960 255230 279484 349355 408368 417920 510460 558968 698710 816736 1020920 1117936 1397420 1633472 2041840 2235872 2730961 2794840 3266944 4083680 4471744 5461922 5589680 8167360 8943488 10923844 11179360 13654805 16334720 16666519 21847688 22358720 27309610 33333038 43695376 44717440 54619220 66666076 83332595 87390752 109238440 133332152 166665190 174781504 218476880 266664304 333330380 349563008 436953760 533328608 666660760 873907520 1066657216 1333321520 1747815040 1783317533 2133314432 2666643040 3566635066 5333286080 7133270132 8916587665 10666572160 14266540264 17833175330 28533080528 35666350660 57066161056 71332701320 114132322112 142665402640 228264644224 285330805280 570661610560 1141323221120