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10523103000 = 233538574093
BaseRepresentation
bin10011100110011100…
…11100111100011000
31000011101002000112120
421303032130330120
5133022403244000
64500110341240
7521525620404
oct116316347430
930141060476
1010523103000
114510021043
1220581ba820
13cb91a1187
1471b810104
15418c8b6a0
hex27339cf18

10523103000 has 128 divisors (see below), whose sum is σ = 32878422720. Its totient is φ = 2802201600.

The previous prime is 10523102981. The next prime is 10523103001. The reversal of 10523103000 is 30132501.

It is a happy number.

It is a super-2 number, since 2×105231030002 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10523103001) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2568954 + ... + 2573046.

Almost surely, 210523103000 is an apocalyptic number.

10523103000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10523103000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16439211360).

10523103000 is an abundant number, since it is smaller than the sum of its proper divisors (22355319720).

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

10523103000 is a wasteful number, since it uses less digits than its factorization.

10523103000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4974 (or 4960 counting only the distinct ones).

The product of its (nonzero) digits is 90, while the sum is 15.

Adding to 10523103000 its reverse (30132501), we get a palindrome (10553235501).

The spelling of 10523103000 in words is "ten billion, five hundred twenty-three million, one hundred three thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 125 150 200 250 300 375 500 600 750 857 1000 1500 1714 2571 3000 3428 4093 4285 5142 6856 8186 8570 10284 12279 12855 16372 17140 20465 20568 21425 24558 25710 32744 34280 40930 42850 49116 51420 61395 64275 81860 85700 98232 102325 102840 107125 122790 128550 163720 171400 204650 214250 245580 257100 306975 321375 409300 428500 491160 511625 514200 613950 642750 818600 857000 1023250 1227900 1285500 1534875 2046500 2455800 2571000 3069750 3507701 4093000 6139500 7015402 10523103 12279000 14030804 17538505 21046206 28061608 35077010 42092412 52615515 70154020 84184824 87692525 105231030 140308040 175385050 210462060 263077575 350770100 420924120 438462625 526155150 701540200 876925250 1052310300 1315387875 1753850500 2104620600 2630775750 3507701000 5261551500 10523103000