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1313212020 = 2235179122273
BaseRepresentation
bin100111001000110…
…0000011001110100
310101112001002020020
41032101200121310
510142140241040
6334150405140
744354055321
oct11621403164
93345032206
101313212020
1161430169a
123079607b0
1317c0b2843
14c659db48
157a44ecd0
hex4e460674

1313212020 has 48 divisors (see below), whose sum is σ = 3697565760. Its totient is φ = 348230656.

The previous prime is 1313212009. The next prime is 1313212027. The reversal of 1313212020 is 202123131.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1313212027) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 50397 + ... + 71876.

It is an arithmetic number, because the mean of its divisors is an integer number (77032620).

Almost surely, 21313212020 is an apocalyptic number.

1313212020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1313212020 is an abundant number, since it is smaller than the sum of its proper divisors (2384353740).

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

1313212020 is a wasteful number, since it uses less digits than its factorization.

1313212020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 122464 (or 122462 counting only the distinct ones).

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

The square root of 1313212020 is about 36238.2673426862. The cubic root of 1313212020 is about 1095.0777368134.

Adding to 1313212020 its reverse (202123131), we get a palindrome (1515335151).

Subtracting from 1313212020 its reverse (202123131), we obtain a square (1111088889 = 333332).

It can be divided in two parts, 13132 and 12020, that added together give a palindrome (25152).

The spelling of 1313212020 in words is "one billion, three hundred thirteen million, two hundred twelve thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 179 358 537 716 895 1074 1790 2148 2685 3580 5370 10740 122273 244546 366819 489092 611365 733638 1222730 1467276 1834095 2445460 3668190 7336380 21886867 43773734 65660601 87547468 109434335 131321202 218868670 262642404 328303005 437737340 656606010 1313212020