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531101401300 = 2252171031303019
BaseRepresentation
bin1111011101010000001…
…11000100000011010100
31212202212100222121011101
413232220013010003110
532200143424320200
61043552402115444
753241121265611
oct7565007040324
91782770877141
10531101401300
11195269993638
1286b2094bb84
133b10c764602
141b9c3a53508
15dc362bd26a
hex7ba81c40d4

531101401300 has 72 divisors (see below), whose sum is σ = 1221471195840. Its totient is φ = 199749465600.

The previous prime is 531101401223. The next prime is 531101401301. The reversal of 531101401300 is 3104101135.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (531101401301) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1601191 + ... + 1904209.

It is an arithmetic number, because the mean of its divisors is an integer number (16964877720).

Almost surely, 2531101401300 is an apocalyptic number.

531101401300 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 531101401300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (610735597920).

531101401300 is an abundant number, since it is smaller than the sum of its proper divisors (690369794540).

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

531101401300 is a wasteful number, since it uses less digits than its factorization.

531101401300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 304081 (or 304074 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 19.

Adding to 531101401300 its reverse (3104101135), we get a palindrome (534205502435).

The spelling of 531101401300 in words is "five hundred thirty-one billion, one hundred one million, four hundred one thousand, three hundred".

Divisors: 1 2 4 5 10 17 20 25 34 50 68 85 100 170 340 425 850 1031 1700 2062 4124 5155 10310 17527 20620 25775 35054 51550 70108 87635 103100 175270 303019 350540 438175 606038 876350 1212076 1515095 1752700 3030190 5151323 6060380 7575475 10302646 15150950 20605292 25756615 30301900 51513230 103026460 128783075 257566150 312412589 515132300 624825178 1249650356 1562062945 3124125890 5311014013 6248251780 7810314725 10622028026 15620629450 21244056052 26555070065 31241258900 53110140130 106220280260 132775350325 265550700650 531101401300