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253231510121400 = 23352851349577413
BaseRepresentation
bin111001100101000000001110…
…001101001110101110111000
31020012121200210100012022011010
4321211000032031032232320
5231142421113042341100
62254324541051433520
7104224241613620136
oct7145001615165670
91205550710168133
10253231510121400
1173761975805958
1224499b684558a0
13ab3b823a20165
14467668302a756
151e421ecd89750
hexe6500e34ebb8

253231510121400 has 96 divisors (see below), whose sum is σ = 785109911200560. Its totient is φ = 67520468951040.

The previous prime is 253231510121389. The next prime is 253231510121441. The reversal of 253231510121400 is 4121015132352.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 19680907 + ... + 29896506.

Almost surely, 2253231510121400 is an apocalyptic number.

253231510121400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

253231510121400 is an abundant number, since it is smaller than the sum of its proper divisors (531878401079160).

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

253231510121400 is a wasteful number, since it uses less digits than its factorization.

253231510121400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49585945 (or 49585936 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 30.

Adding to 253231510121400 its reverse (4121015132352), we get a palindrome (257352525253752).

The spelling of 253231510121400 in words is "two hundred fifty-three trillion, two hundred thirty-one billion, five hundred ten million, one hundred twenty-one thousand, four hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 150 200 300 600 8513 17026 25539 34052 42565 51078 68104 85130 102156 127695 170260 204312 212825 255390 340520 425650 510780 638475 851300 1021560 1276950 1702600 2553900 5107800 49577413 99154826 148732239 198309652 247887065 297464478 396619304 495774130 594928956 743661195 991548260 1189857912 1239435325 1487322390 1983096520 2478870650 2974644780 3718305975 4957741300 5949289560 7436611950 9915482600 14873223900 29746447800 422052516869 844105033738 1266157550607 1688210067476 2110262584345 2532315101214 3376420134952 4220525168690 5064630202428 6330787753035 8441050337380 10129260404856 10551312921725 12661575506070 16882100674760 21102625843450 25323151012140 31653938765175 42205251686900 50646302024280 63307877530350 84410503373800 126615755060700 253231510121400