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10000230100 = 2252719839059
BaseRepresentation
bin10010101000000111…
…10110011011010100
3221210221012022202121
421110003312123110
5130440024330400
64332151345324
7502546360540
oct112403663324
927727168677
1010000230100
114271961983
121b31082244
13c34a6b123
146ac1c2a20
153d7e0621a
hex2540f66d4

10000230100 has 144 divisors (see below), whose sum is σ = 26423308800. Its totient is φ = 3208705920.

The previous prime is 10000230073. The next prime is 10000230101. The reversal of 10000230100 is 103200001.

It is a Harshad number since it is a multiple of its sum of digits (7).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10000230101) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1099371 + ... + 1108429.

It is an arithmetic number, because the mean of its divisors is an integer number (183495200).

Almost surely, 210000230100 is an apocalyptic number.

10000230100 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 10000230100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13211654400).

10000230100 is an abundant number, since it is smaller than the sum of its proper divisors (16423078700).

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

10000230100 is a wasteful number, since it uses less digits than its factorization.

10000230100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9182 (or 9175 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 7.

Adding to 10000230100 its reverse (103200001), we get a palindrome (10103430101).

It can be divided in two parts, 10000 and 230100, that added together give a square (240100 = 4902).

The spelling of 10000230100 in words is "ten billion, two hundred thirty thousand, one hundred".

Divisors: 1 2 4 5 7 10 14 19 20 25 28 35 38 50 70 76 83 95 100 133 140 166 175 190 266 332 350 380 415 475 532 581 665 700 830 950 1162 1330 1577 1660 1900 2075 2324 2660 2905 3154 3325 4150 5810 6308 6650 7885 8300 9059 11039 11620 13300 14525 15770 18118 22078 29050 31540 36236 39425 44156 45295 55195 58100 63413 78850 90590 110390 126826 157700 172121 181180 220780 226475 253652 275975 317065 344242 452950 551950 634130 688484 751897 860605 905900 1103900 1204847 1268260 1503794 1585325 1721210 2409694 3007588 3170650 3442420 3759485 4303025 4819388 5263279 6024235 6341300 7518970 8606050 10526558 12048470 14286043 15037940 17212100 18797425 21053116 24096940 26316395 28572086 30121175 37594850 52632790 57144172 60242350 71430215 75189700 100002301 105265580 120484700 131581975 142860430 200004602 263163950 285720860 357151075 400009204 500011505 526327900 714302150 1000023010 1428604300 2000046020 2500057525 5000115050 10000230100