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1213421625 = 325313292861
BaseRepresentation
bin100100001010011…
…0101100000111001
310010120021012112200
41020110311200321
54441113443000
6320223500413
742032625243
oct11024654071
93116235480
101213421625
11572a43699
1229a457709
13164513580
14b7225093
15717dc500
hex48535839

1213421625 has 96 divisors (see below), whose sum is σ = 2437737120. Its totient is φ = 576576000.

The previous prime is 1213421617. The next prime is 1213421633. The reversal of 1213421625 is 5261243121.

1213421625 is a `hidden beast` number, since 1 + 2 + 1 + 34 + 2 + 1 + 625 = 666.

It is an interprime number because it is at equal distance from previous prime (1213421617) and next prime (1213421633).

It can be written as a sum of positive squares in 16 ways, for example, as 1012576041 + 200845584 = 31821^2 + 14172^2 .

It is not a de Polignac number, because 1213421625 - 23 = 1213421617 is a prime.

It is a congruent number.

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 422695 + ... + 425555.

It is an arithmetic number, because the mean of its divisors is an integer number (25393095).

Almost surely, 21213421625 is an apocalyptic number.

1213421625 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1213421625 is an abundant number, since it is smaller than the sum of its proper divisors (1224315495).

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

1213421625 is a wasteful number, since it uses less digits than its factorization.

1213421625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2924 (or 2911 counting only the distinct ones).

The product of its digits is 2880, while the sum is 27.

The square root of 1213421625 is about 34834.2019429181. The cubic root of 1213421625 is about 1066.6057243286.

Adding to 1213421625 its reverse (5261243121), we get a palindrome (6474664746).

The spelling of 1213421625 in words is "one billion, two hundred thirteen million, four hundred twenty-one thousand, six hundred twenty-five".

Divisors: 1 3 5 9 13 15 25 29 39 45 65 75 87 117 125 145 195 225 261 325 375 377 435 585 725 975 1125 1131 1305 1625 1885 2175 2861 2925 3393 3625 4875 5655 6525 8583 9425 10875 14305 14625 16965 25749 28275 32625 37193 42915 47125 71525 82969 84825 111579 128745 141375 185965 214575 248907 334737 357625 414845 424125 557895 643725 746721 929825 1072875 1078597 1244535 1673685 2074225 2789475 3218625 3235791 3733605 4649125 5392985 6222675 8368425 9707373 10371125 13947375 16178955 18668025 26964925 31113375 41842125 48536865 80894775 93340125 134824625 242684325 404473875 1213421625