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10703142400 = 2952836183
BaseRepresentation
bin10011111011111010…
…01111111000000000
31000121220211222011111
421331331033320000
5133410001024100
64530021253104
7526143131536
oct117575177000
930556758144
1010703142400
1145a2710335
1220a8564194
131017589c72
147376b8156
154299a16ba
hex27df4fe00

10703142400 has 60 divisors (see below), whose sum is σ = 26517903192. Its totient is φ = 4281251840.

The previous prime is 10703142383. The next prime is 10703142431. The reversal of 10703142400 is 424130701.

It is a super-2 number, since 2×107031424002 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

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 5 ways as a sum of consecutive naturals, for example, 405292 + ... + 430891.

Almost surely, 210703142400 is an apocalyptic number.

10703142400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10703142400 is an abundant number, since it is smaller than the sum of its proper divisors (15814760792).

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

10703142400 is an frugal number, since it uses more digits than its factorization.

10703142400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 836211 (or 836190 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 22.

The spelling of 10703142400 in words is "ten billion, seven hundred three million, one hundred forty-two thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 128 160 200 256 320 400 512 640 800 1280 1600 2560 3200 6400 12800 836183 1672366 3344732 4180915 6689464 8361830 13378928 16723660 20904575 26757856 33447320 41809150 53515712 66894640 83618300 107031424 133789280 167236600 214062848 267578560 334473200 428125696 535157120 668946400 1070314240 1337892800 2140628480 2675785600 5351571200 10703142400