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10575023030 = 25111323476841
BaseRepresentation
bin10011101100101001…
…00000101110110110
31000021222202211102122
421312110200232312
5133124201214110
64505203235542
7523026132635
oct116624405666
930258684378
1010575023030
114537363360
122071678bb2
13cc6b7c4a0
1472468751c
1541d5e5255
hex276520bb6

10575023030 has 128 divisors (see below), whose sum is σ = 23835119616. Its totient is φ = 3322598400.

The previous prime is 10575023023. The next prime is 10575023033. The reversal of 10575023030 is 3032057501.

10575023030 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×105750230302 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10575023033) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1542410 + ... + 1549250.

It is an arithmetic number, because the mean of its divisors is an integer number (186211872).

Almost surely, 210575023030 is an apocalyptic number.

10575023030 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10575023030 is an abundant number, since it is smaller than the sum of its proper divisors (13260096586).

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

10575023030 is a wasteful number, since it uses less digits than its factorization.

10575023030 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6942.

The product of its (nonzero) digits is 3150, while the sum is 26.

It can be divided in two parts, 105750 and 23030, that multiplied together give a square (2435422500 = 493502).

The spelling of 10575023030 in words is "ten billion, five hundred seventy-five million, twenty-three thousand, thirty".

Divisors: 1 2 5 10 11 13 22 23 26 46 47 55 65 94 110 115 130 143 230 235 253 286 299 470 506 517 598 611 715 1034 1081 1222 1265 1430 1495 2162 2530 2585 2990 3055 3289 5170 5405 6110 6578 6721 6841 10810 11891 13442 13682 14053 16445 23782 28106 32890 33605 34205 59455 67210 68410 70265 75251 88933 118910 140530 150502 154583 157343 177866 309166 314686 321527 376255 444665 643054 752510 772915 786715 889330 978263 1545830 1573430 1607635 1730773 1956526 2045459 3215270 3461546 3536797 4090918 4179851 4891315 7073594 7395121 8359702 8653865 9782630 10227295 14790242 17307730 17683985 20454590 20899255 22500049 35367970 36975605 41798510 45000098 45978361 73951210 81346331 91956722 96136573 112500245 162692662 192273146 225000490 229891805 406731655 459783610 480682865 813463310 961365730 1057502303 2115004606 5287511515 10575023030