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101300333220 = 22325562779629
BaseRepresentation
bin101111001010111111…
…0000110101010100100
3100200110210110010002100
41132111332012222210
53124430341130340
6114311533412100
710214213424312
oct1362576065244
9320423403070
10101300333220
1139a63440759
121777133a030
139725033298
144c8da2b0b2
15297d493830
hex1795f86aa4

101300333220 has 36 divisors (see below), whose sum is σ = 307277677980. Its totient is φ = 27013422144.

The previous prime is 101300333219. The next prime is 101300333273. The reversal of 101300333220 is 22333003101.

101300333220 is a `hidden beast` number, since 10 + 1 + 300 + 3 + 332 + 20 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 11343528036 + 89956805184 = 106506^2 + 299928^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 101300333193 and 101300333202.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 281389635 + ... + 281389994.

It is an arithmetic number, because the mean of its divisors is an integer number (8535491055).

Almost surely, 2101300333220 is an apocalyptic number.

101300333220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101300333220 is an abundant number, since it is smaller than the sum of its proper divisors (205977344760).

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

101300333220 is a wasteful number, since it uses less digits than its factorization.

101300333220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 562779644 (or 562779639 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

Adding to 101300333220 its reverse (22333003101), we get a palindrome (123633336321).

The spelling of 101300333220 in words is "one hundred one billion, three hundred million, three hundred thirty-three thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 562779629 1125559258 1688338887 2251118516 2813898145 3376677774 5065016661 5627796290 6753355548 8441694435 10130033322 11255592580 16883388870 20260066644 25325083305 33766777740 50650166610 101300333220