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13002012300 = 2235246393607
BaseRepresentation
bin11000001101111101…
…01111011010001100
31020120010120122211010
430012332233122030
5203112003343200
65550102125220
7640126165254
oct140676573214
936503518733
1013002012300
11557232a312
12262a420810
1312c2927904
148b4b30964
155116ed150
hex306faf68c

13002012300 has 72 divisors (see below), whose sum is σ = 37700809216. Its totient is φ = 3459677760.

The previous prime is 13002012299. The next prime is 13002012307. The reversal of 13002012300 is 321020031.

Adding to 13002012300 its reverse (321020031), we get a palindrome (13323032331).

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is not an unprimeable number, because it can be changed into a prime (13002012307) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 92097 + ... + 185703.

Almost surely, 213002012300 is an apocalyptic number.

13002012300 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 13002012300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18850404608).

13002012300 is an abundant number, since it is smaller than the sum of its proper divisors (24698796916).

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

13002012300 is a wasteful number, since it uses less digits than its factorization.

13002012300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 94087 (or 94080 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

The spelling of 13002012300 in words is "thirteen billion, two million, twelve thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 150 300 463 926 1389 1852 2315 2778 4630 5556 6945 9260 11575 13890 23150 27780 34725 46300 69450 93607 138900 187214 280821 374428 468035 561642 936070 1123284 1404105 1872140 2340175 2808210 4680350 5616420 7020525 9360700 14041050 28082100 43340041 86680082 130020123 173360164 216700205 260040246 433400410 520080492 650100615 866800820 1083501025 1300201230 2167002050 2600402460 3250503075 4334004100 6501006150 13002012300