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10344311111000 = 2353234110969577
BaseRepresentation
bin1001011010000111100011…
…1111010011110101011000
31100121220110211022221120202
42112201320333103311120
52323440122121023000
634000035543041332
72115231446451326
oct226417077236530
940556424287522
1010344311111000
113328aa7a45909
1211b0968a40248
135a0606249329
1427a94b218d16
1512e12c814dd5
hex96878fd3d58

10344311111000 has 128 divisors (see below), whose sum is σ = 25874163020160. Its totient is φ = 3861290752000.

The previous prime is 10344311110997. The next prime is 10344311111009. The reversal of 10344311111000 is 11111344301.

It is a super-2 number, since 2×103443111110002 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10344311111009) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4541789 + ... + 6427788.

It is an arithmetic number, because the mean of its divisors is an integer number (202141898595).

Almost surely, 210344311111000 is an apocalyptic number.

10344311111000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10344311111000 is an abundant number, since it is smaller than the sum of its proper divisors (15529851909160).

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

10344311111000 is a wasteful number, since it uses less digits than its factorization.

10344311111000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10969662 (or 10969648 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 20.

Adding to 10344311111000 its reverse (11111344301), we get a palindrome (10355422455301).

The spelling of 10344311111000 in words is "ten trillion, three hundred forty-four billion, three hundred eleven million, one hundred eleven thousand".

Divisors: 1 2 4 5 8 10 20 23 25 40 41 46 50 82 92 100 115 125 164 184 200 205 230 250 328 410 460 500 575 820 920 943 1000 1025 1150 1640 1886 2050 2300 2875 3772 4100 4600 4715 5125 5750 7544 8200 9430 10250 11500 18860 20500 23000 23575 37720 41000 47150 94300 117875 188600 235750 471500 943000 10969577 21939154 43878308 54847885 87756616 109695770 219391540 252300271 274239425 438783080 449752657 504600542 548478850 899505314 1009201084 1096957700 1261501355 1371197125 1799010628 2018402168 2193915400 2248763285 2523002710 2742394250 3598021256 4497526570 5046005420 5484788500 6307506775 8995053140 10092010840 10344311111 10969577000 11243816425 12615013550 17990106280 20688622222 22487632850 25230027100 31537533875 41377244444 44975265700 50460054200 51721555555 56219082125 63075067750 82754488888 89950531400 103443111110 112438164250 126150135500 206886222220 224876328500 252300271000 258607777775 413772444440 449752657000 517215555550 1034431111100 1293038888875 2068862222200 2586077777750 5172155555500 10344311111000