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1054133105320 = 235313121272383
BaseRepresentation
bin11110101011011110011…
…10101011001010101000
310201202220100102002201201
433111233032223022220
5114232331033332240
62124132334453544
7136105254361351
oct17255716531250
93652810362651
101054133105320
11377067725169
1215036b0642b4
13785343c1cc9
143903da58d28
151c648dc4d9a
hexf56f3ab2a8

1054133105320 has 64 divisors (see below), whose sum is σ = 2449102602240. Its totient is φ = 407919283200.

The previous prime is 1054133105303. The next prime is 1054133105323. The reversal of 1054133105320 is 235013314501.

It is a happy number.

It is a super-2 number, since 2×10541331053202 (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1054133105323) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3733849 + ... + 4006231.

It is an arithmetic number, because the mean of its divisors is an integer number (38267228160).

Almost surely, 21054133105320 is an apocalyptic number.

1054133105320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1054133105320 is an abundant number, since it is smaller than the sum of its proper divisors (1394969496920).

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

1054133105320 is a wasteful number, since it uses less digits than its factorization.

1054133105320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 275546 (or 275542 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 28.

Adding to 1054133105320 its reverse (235013314501), we get a palindrome (1289146419821).

The spelling of 1054133105320 in words is "one trillion, fifty-four billion, one hundred thirty-three million, one hundred five thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 20 31 40 62 124 155 248 310 620 1240 3121 6242 12484 15605 24968 31210 62420 96751 124840 193502 272383 387004 483755 544766 774008 967510 1089532 1361915 1935020 2179064 2723830 3870040 5447660 8443873 10895320 16887746 33775492 42219365 67550984 84438730 168877460 337754920 850107343 1700214686 3400429372 4250536715 6800858744 8501073430 17002146860 26353327633 34004293720 52706655266 105413310532 131766638165 210826621064 263533276330 527066552660 1054133105320