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101210304420 = 22325562279469
BaseRepresentation
bin101111001000010011…
…0101010111110100100
3100200020112001011210100
41132100212222332210
53124234314220140
6114255000024100
710212041251551
oct1362046527644
9320215034710
10101210304420
1139a1763a795
1217747162030
13970c4a11c4
144c81ab3a28
15297560d530
hex17909aafa4

101210304420 has 36 divisors (see below), whose sum is σ = 307004590620. Its totient is φ = 26989414464.

The previous prime is 101210304401. The next prime is 101210304479. The reversal of 101210304420 is 24403012101.

101210304420 is a `hidden beast` number, since 1 + 0 + 1 + 210 + 30 + 4 + 420 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 24649628004 + 76560676416 = 157002^2 + 276696^2 .

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

It is a super-3 number, since 3×1012103044203 (a number of 34 digits) contains 333 as substring.

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 = 101210304393 and 101210304402.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 281139555 + ... + 281139914.

It is an arithmetic number, because the mean of its divisors is an integer number (8527905295).

Almost surely, 2101210304420 is an apocalyptic number.

101210304420 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101210304420 is an abundant number, since it is smaller than the sum of its proper divisors (205794286200).

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

101210304420 is a wasteful number, since it uses less digits than its factorization.

101210304420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 562279484 (or 562279479 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 101210304420 its reverse (24403012101), we get a palindrome (125613316521).

The spelling of 101210304420 in words is "one hundred one billion, two hundred ten million, three hundred four thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 562279469 1124558938 1686838407 2249117876 2811397345 3373676814 5060515221 5622794690 6747353628 8434192035 10121030442 11245589380 16868384070 20242060884 25302576105 33736768140 50605152210 101210304420