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531531995100 = 2235212713950971
BaseRepresentation
bin1111011110000011100…
…01101001011111011100
31212210222101020000210220
413233001301221133130
532202034142320400
61044103223201340
753254600261251
oct7570161513734
91783871200726
10531531995100
1119546aa55087
1287020ba6250
133b17aa28242
141ba24cdd428
15dc5dec67a0
hex7bc1c697dc

531531995100 has 72 divisors (see below), whose sum is σ = 1550008793088. Its totient is φ = 140625777600.

The previous prime is 531531995087. The next prime is 531531995107. The reversal of 531531995100 is 1599135135.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (531531995107) by changing a digit.

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, 6937386 + ... + 7013585.

It is an arithmetic number, because the mean of its divisors is an integer number (21527899904).

Almost surely, 2531531995100 is an apocalyptic number.

531531995100 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

531531995100 is an abundant number, since it is smaller than the sum of its proper divisors (1018476797988).

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

531531995100 is a wasteful number, since it uses less digits than its factorization.

531531995100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13951115 (or 13951108 counting only the distinct ones).

The product of its (nonzero) digits is 91125, while the sum is 42.

The spelling of 531531995100 in words is "five hundred thirty-one billion, five hundred thirty-one million, nine hundred ninety-five thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 127 150 254 300 381 508 635 762 1270 1524 1905 2540 3175 3810 6350 7620 9525 12700 19050 38100 13950971 27901942 41852913 55803884 69754855 83705826 139509710 167411652 209264565 279019420 348774275 418529130 697548550 837058260 1046322825 1395097100 1771773317 2092645650 3543546634 4185291300 5315319951 7087093268 8858866585 10630639902 17717733170 21261279804 26576599755 35435466340 44294332925 53153199510 88588665850 106306399020 132882998775 177177331700 265765997550 531531995100