Search a number
-
+
11300311300020 = 22351033182321899
BaseRepresentation
bin1010010001110000111100…
…0010100111011110110100
31111000022002010100101101220
42210130033002213132310
52440121014143100040
640011142532550340
72244264151131141
oct244341702473664
944008063311356
1011300311300020
113667487148556
1213260ab4823b0
1363c7cb8a8c52
142b0d1bb8d3c8
15148e3135a2d0
hexa470f0a77b4

11300311300020 has 48 divisors (see below), whose sum is σ = 31671501892800. Its totient is φ = 3010499179776.

The previous prime is 11300311300001. The next prime is 11300311300043. The reversal of 11300311300020 is 2000311300311.

11300311300020 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 91098970 + ... + 91222929.

It is an arithmetic number, because the mean of its divisors is an integer number (659822956100).

Almost surely, 211300311300020 is an apocalyptic number.

11300311300020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11300311300020 is an abundant number, since it is smaller than the sum of its proper divisors (20371190592780).

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

11300311300020 is a wasteful number, since it uses less digits than its factorization.

11300311300020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 182322944 (or 182322942 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 15.

Adding to 11300311300020 its reverse (2000311300311), we get a palindrome (13300622600331).

The spelling of 11300311300020 in words is "eleven trillion, three hundred billion, three hundred eleven million, three hundred thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 1033 2066 3099 4132 5165 6198 10330 12396 15495 20660 30990 61980 182321899 364643798 546965697 729287596 911609495 1093931394 1823218990 2187862788 2734828485 3646437980 5469656970 10939313940 188338521667 376677043334 565015565001 753354086668 941692608335 1130031130002 1883385216670 2260062260004 2825077825005 3766770433340 5650155650010 11300311300020