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10300312002320 = 245193673991261
BaseRepresentation
bin1001010111100011101001…
…1100000001111100010000
31100110200220110020122021222
42111320322130001330100
52322230014333033240
633523521545304212
72112113222265464
oct225707234017420
940420813218258
1010300312002320
11331137966227a
1211a4329795068
135994137c7c92
1427877588a4a4
1512ce04bd1eb5
hex95e3a701f10

10300312002320 has 80 divisors (see below), whose sum is σ = 24108102457392. Its totient is φ = 4092682567680.

The previous prime is 10300312002293. The next prime is 10300312002329. The reversal of 10300312002320 is 2320021300301.

It can be written as a sum of positive squares in 8 ways, for example, as 55396212496 + 10244915789824 = 235364^2 + 3200768^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is not an unprimeable number, because it can be changed into a prime (10300312002329) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9895490 + ... + 10886750.

Almost surely, 210300312002320 is an apocalyptic number.

10300312002320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10300312002320 is an abundant number, since it is smaller than the sum of its proper divisors (13807790455072).

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

10300312002320 is a wasteful number, since it uses less digits than its factorization.

10300312002320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 992140 (or 992134 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 17.

Adding to 10300312002320 its reverse (2320021300301), we get a palindrome (12620333302621).

The spelling of 10300312002320 in words is "ten trillion, three hundred billion, three hundred twelve million, two thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 80 193 386 673 772 965 1346 1544 1930 2692 3088 3365 3860 5384 6730 7720 10768 13460 15440 26920 53840 129889 259778 519556 649445 991261 1039112 1298890 1982522 2078224 2597780 3965044 4956305 5195560 7930088 9912610 10391120 15860176 19825220 39650440 79300880 191313373 382626746 667118653 765253492 956566865 1334237306 1530506984 1913133730 2668474612 3061013968 3335593265 3826267460 5336949224 6671186530 7652534920 10673898448 13342373060 15305069840 26684746120 53369492240 128753900029 257507800058 515015600116 643769500145 1030031200232 1287539000290 2060062400464 2575078000580 5150156001160 10300312002320