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13005332900 = 2252718579047
BaseRepresentation
bin11000001110010110…
…11010000110100100
31020120100211100211022
430013023122012210
5203113331123100
65550301230312
7640166335310
oct140713320644
936510740738
1013005332900
11557419810a
12262b562398
1312c351b171
148b5356b40
15511b56e85
hex3072da1a4

13005332900 has 36 divisors (see below), whose sum is σ = 32253227328. Its totient is φ = 4458971040.

The previous prime is 13005332897. The next prime is 13005332903. The reversal of 13005332900 is 923350031.

It is an interprime number because it is at equal distance from previous prime (13005332897) and next prime (13005332903).

It is a self number, because there is not a number n which added to its sum of digits gives 13005332900.

It is not an unprimeable number, because it can be changed into a prime (13005332903) 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, 9288824 + ... + 9290223.

Almost surely, 213005332900 is an apocalyptic number.

13005332900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13005332900 is an abundant number, since it is smaller than the sum of its proper divisors (19247894428).

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

13005332900 is a wasteful number, since it uses less digits than its factorization.

13005332900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18579068 (or 18579061 counting only the distinct ones).

The product of its (nonzero) digits is 2430, while the sum is 26.

Adding to 13005332900 its reverse (923350031), we get a palindrome (13928682931).

The spelling of 13005332900 in words is "thirteen billion, five million, three hundred thirty-two thousand, nine hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 50 70 100 140 175 350 700 18579047 37158094 74316188 92895235 130053329 185790470 260106658 371580940 464476175 520213316 650266645 928952350 1300533290 1857904700 2601066580 3251333225 6502666450 13005332900