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1023213041140 = 225174161772313
BaseRepresentation
bin11101110001111000011…
…11111111010111110100
310121211002110212002120111
432320330033333113310
5113231020014304030
62102020234312404
7133632113226553
oct16707417772764
93554073762514
101023213041140
11364a400a5314
1214637bb88704
1375647529b44
143774934dd9a
151b93960962a
hexee3c3ff5f4

1023213041140 has 48 divisors (see below), whose sum is σ = 2275230423312. Its totient is φ = 385195032576.

The previous prime is 1023213041101. The next prime is 1023213041197. The reversal of 1023213041140 is 411403123201.

It can be written as a sum of positive squares in 8 ways, for example, as 463167358096 + 560045683044 = 680564^2 + 748362^2 .

It is a congruent number.

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, 14113624 + ... + 14185936.

It is an arithmetic number, because the mean of its divisors is an integer number (47400633819).

Almost surely, 21023213041140 is an apocalyptic number.

1023213041140 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1023213041140 is an abundant number, since it is smaller than the sum of its proper divisors (1252017382172).

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

1023213041140 is a wasteful number, since it uses less digits than its factorization.

1023213041140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 113956 (or 113954 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 22.

Adding to 1023213041140 its reverse (411403123201), we get a palindrome (1434616164341).

The spelling of 1023213041140 in words is "one trillion, twenty-three billion, two hundred thirteen million, forty-one thousand, one hundred forty".

Divisors: 1 2 4 5 10 17 20 34 68 85 170 340 41617 72313 83234 144626 166468 208085 289252 361565 416170 707489 723130 832340 1229321 1414978 1446260 2458642 2829956 3537445 4917284 6146605 7074890 12293210 14149780 24586420 3009450121 6018900242 12037800484 15047250605 30094501210 51160652057 60189002420 102321304114 204642608228 255803260285 511606520570 1023213041140