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10141334120000 = 2654253533353
BaseRepresentation
bin1001001110010011011010…
…0111100010011001000000
31022220111120000022110011102
42103210312213202121000
52312123423013320000
633322510425433532
72064454466502266
oct223446647423100
938814500273142
1010141334120000
11325aa087aa276
12117956033b8a8
13587429240825
14270bb3a00436
15128becd443d5
hex939369e2640

10141334120000 has 70 divisors (see below), whose sum is σ = 25147212783198. Its totient is φ = 4056533632000.

The previous prime is 10141334119991. The next prime is 10141334120017. The reversal of 10141334120000 is 2143314101.

It can be written as a sum of positive squares in 5 ways, for example, as 3088145465344 + 7053188654656 = 1757312^2 + 2655784^2 .

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 126726677 + ... + 126806676.

Almost surely, 210141334120000 is an apocalyptic number.

10141334120000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10141334120000 is an abundant number, since it is smaller than the sum of its proper divisors (15005878663198).

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

10141334120000 is an frugal number, since it uses more digits than its factorization.

10141334120000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 253533385 (or 253533360 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

Adding to 10141334120000 its reverse (2143314101), we get a palindrome (10143477434101).

The spelling of 10141334120000 in words is "ten trillion, one hundred forty-one billion, three hundred thirty-four million, one hundred twenty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 160 200 250 320 400 500 625 800 1000 1250 1600 2000 2500 4000 5000 8000 10000 20000 40000 253533353 507066706 1014133412 1267666765 2028266824 2535333530 4056533648 5070667060 6338333825 8113067296 10141334120 12676667650 16226134592 20282668240 25353335300 31691669125 40565336480 50706670600 63383338250 81130672960 101413341200 126766676500 158458345625 202826682400 253533353000 316916691250 405653364800 507066706000 633833382500 1014133412000 1267666765000 2028266824000 2535333530000 5070667060000 10141334120000