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313020103021020 = 223252418777189607
BaseRepresentation
bin100011100101100001010110…
…0000011000101000111011100
31112001022102121011211101122200
41013023002230003011013130
5312012010132333133040
63025423241122211500
7122634645646222263
oct10713025403050734
91461272534741580
10313020103021020
119081309781347a
122b1354871b3b90
1310587890bc8735
14574237a6bd5da
15262c587d11630
hex11cb0ac0c51dc

313020103021020 has 72 divisors (see below), whose sum is σ = 949498370087904. Its totient is φ = 83471670761088.

The previous prime is 313020103021001. The next prime is 313020103021117. The reversal of 313020103021020 is 20120301020313.

313020103021020 is a `hidden beast` number, since 3 + 130 + 201 + 0 + 302 + 10 + 20 = 666.

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 = 313020103020984 and 313020103021002.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 39943057 + ... + 47132663.

It is an arithmetic number, because the mean of its divisors is an integer number (13187477362332).

Almost surely, 2313020103021020 is an apocalyptic number.

313020103021020 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

313020103021020 is an abundant number, since it is smaller than the sum of its proper divisors (636478267066884).

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

313020103021020 is a wasteful number, since it uses less digits than its factorization.

313020103021020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7431499 (or 7431494 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 313020103021020 its reverse (20120301020313), we get a palindrome (333140404041333).

The spelling of 313020103021020 in words is "three hundred thirteen trillion, twenty billion, one hundred three million, twenty-one thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 241877 483754 725631 967508 1209385 1451262 2176893 2418770 2902524 3628155 4353786 4837540 7189607 7256310 8707572 10884465 14379214 14512620 21568821 21768930 28758428 35948035 43137642 43537860 64706463 71896070 86275284 107844105 129412926 143792140 215688210 258825852 323532315 431376420 647064630 1294129260 1739000572339 3478001144678 5217001717017 6956002289356 8695002861695 10434003434034 15651005151051 17390005723390 20868006868068 26085008585085 31302010302102 34780011446780 52170017170170 62604020604204 78255025755255 104340034340340 156510051510510 313020103021020