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131020312020 = 223513191879449
BaseRepresentation
bin111101000000101101…
…0110100110111010100
3110112012000211110120220
41322001122310313110
54121312144441040
6140105003554340
712315543163653
oct1720132646724
9415160743526
10131020312020
1150624606704
122148652b9b0
13c4803a4160
1464acbc319a
15361c7082d0
hex1e816b4dd4

131020312020 has 96 divisors (see below), whose sum is σ = 397145548800. Its totient is φ = 32082263040.

The previous prime is 131020312019. The next prime is 131020312057. The reversal of 131020312020 is 20213020131.

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 pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 290745 + ... + 588704.

It is an arithmetic number, because the mean of its divisors is an integer number (4136932800).

Almost surely, 2131020312020 is an apocalyptic number.

131020312020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131020312020 is an abundant number, since it is smaller than the sum of its proper divisors (266125236780).

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

131020312020 is a wasteful number, since it uses less digits than its factorization.

131020312020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 879665 (or 879663 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 131020312020 its reverse (20213020131), we get a palindrome (151233332151).

The spelling of 131020312020 in words is "one hundred thirty-one billion, twenty million, three hundred twelve thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 26 30 39 52 60 65 78 130 156 191 195 260 382 390 573 764 780 955 1146 1910 2292 2483 2865 3820 4966 5730 7449 9932 11460 12415 14898 24830 29796 37245 49660 74490 148980 879449 1758898 2638347 3517796 4397245 5276694 8794490 10553388 11432837 13191735 17588980 22865674 26383470 34298511 45731348 52766940 57164185 68597022 114328370 137194044 167974759 171492555 228656740 335949518 342985110 503924277 671899036 685970220 839873795 1007848554 1679747590 2015697108 2183671867 2519621385 3359495180 4367343734 5039242770 6551015601 8734687468 10078485540 10918359335 13102031202 21836718670 26204062404 32755078005 43673437340 65510156010 131020312020