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10230013300 = 2252137869241
BaseRepresentation
bin10011000011100000…
…11001110101110100
3222101221120112001111
421201300121311310
5131422340411200
64411040404404
7511336451443
oct114160316564
928357515044
1010230013300
11437a637451
121b96016704
13c70552810
146d0918d5a
153ed1950ba
hex261c19d74

10230013300 has 36 divisors (see below), whose sum is σ = 23906757196. Its totient is φ = 3777235200.

The previous prime is 10230013273. The next prime is 10230013309. The reversal of 10230013300 is 331003201.

It can be written as a sum of positive squares in 6 ways, for example, as 309136 + 10229704164 = 556^2 + 101142^2 .

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10230013309) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3933321 + ... + 3935920.

Almost surely, 210230013300 is an apocalyptic number.

10230013300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10230013300 is an abundant number, since it is smaller than the sum of its proper divisors (13676743896).

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

10230013300 is a wasteful number, since it uses less digits than its factorization.

10230013300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7869268 (or 7869261 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 13.

Adding to 10230013300 its reverse (331003201), we get a palindrome (10561016501).

It can be divided in two parts, 102300 and 13300, that added together give a square (115600 = 3402).

The spelling of 10230013300 in words is "ten billion, two hundred thirty million, thirteen thousand, three hundred".

Divisors: 1 2 4 5 10 13 20 25 26 50 52 65 100 130 260 325 650 1300 7869241 15738482 31476964 39346205 78692410 102300133 157384820 196731025 204600266 393462050 409200532 511500665 786924100 1023001330 2046002660 2557503325 5115006650 10230013300