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11334003541300 = 22521119788359233
BaseRepresentation
bin1010010011101110011101…
…0000010100010100110100
31111010112001012020120122001
42210323213100110110310
52441144014401310200
640034434102345044
72246566113350626
oct244734720242464
944115035216561
1011334003541300
11367a7a6582060
121330732a2b184
13642a3aba92ab
142b27d6718c16
15149c541b676a
hexa4ee7414534

11334003541300 has 144 divisors (see below), whose sum is σ = 26997869650752. Its totient is φ = 4095821721600.

The previous prime is 11334003541247. The next prime is 11334003541321. The reversal of 11334003541300 is 314530043311.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 191316484 + ... + 191375716.

It is an arithmetic number, because the mean of its divisors is an integer number (187485205908).

Almost surely, 211334003541300 is an apocalyptic number.

11334003541300 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 11334003541300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13498934825376).

11334003541300 is an abundant number, since it is smaller than the sum of its proper divisors (15663866109452).

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

11334003541300 is a wasteful number, since it uses less digits than its factorization.

11334003541300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 60338 (or 60331 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 28.

Adding to 11334003541300 its reverse (314530043311), we get a palindrome (11648533584611).

The spelling of 11334003541300 in words is "eleven trillion, three hundred thirty-four billion, three million, five hundred forty-one thousand, three hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 100 110 197 220 275 394 550 788 883 985 1100 1766 1970 2167 3532 3940 4334 4415 4925 8668 8830 9713 9850 10835 17660 19426 19700 21670 22075 38852 43340 44150 48565 54175 59233 88300 97130 108350 118466 173951 194260 216700 236932 242825 296165 347902 485650 592330 651563 695804 869755 971300 1184660 1303126 1480825 1739510 1913461 2606252 2961650 3257815 3479020 3826922 4348775 5923300 6515630 7653844 8697550 9567305 11668901 13031260 16289075 17395100 19134610 23337802 32578150 38269220 46675604 47836525 52302739 58344505 65156300 95673050 104605478 116689010 128357911 191346100 209210956 233378020 256715822 261513695 291722525 513431644 523027390 575330129 583445050 641789555 1046054780 1150660258 1166890100 1283579110 1307568475 2301320516 2567158220 2615136950 2876650645 3208947775 5230273900 5753301290 6417895550 10303639583 11506602580 12835791100 14383253225 20607279166 28766506450 41214558332 51518197915 57533012900 103036395830 113340035413 206072791660 226680070826 257590989575 453360141652 515181979150 566700177065 1030363958300 1133400354130 2266800708260 2833500885325 5667001770650 11334003541300