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31240405200 = 2435226033671
BaseRepresentation
bin11101000110000100…
…101100000011010000
32222122012100000102110
4131012010230003100
51002440020431300
622203542145320
72154111030354
oct350604540320
988565300373
1031240405200
11122814378a4
12607a422240
132c3b365684
141725095464
15c2c996550
hex74612c0d0

31240405200 has 60 divisors (see below), whose sum is σ = 100073435168. Its totient is φ = 8330774400.

The previous prime is 31240405199. The next prime is 31240405267. The reversal of 31240405200 is 250404213.

It is a tau number, because it is divible by the number of its divisors (60).

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 11 ways as a sum of consecutive naturals, for example, 13015636 + ... + 13018035.

Almost surely, 231240405200 is an apocalyptic number.

31240405200 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

31240405200 is an abundant number, since it is smaller than the sum of its proper divisors (68833029968).

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

31240405200 is a wasteful number, since it uses less digits than its factorization.

31240405200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26033692 (or 26033681 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 21.

Adding to 31240405200 its reverse (250404213), we get a palindrome (31490809413).

The spelling of 31240405200 in words is "thirty-one billion, two hundred forty million, four hundred five thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 48 50 60 75 80 100 120 150 200 240 300 400 600 1200 26033671 52067342 78101013 104134684 130168355 156202026 208269368 260336710 312404052 390505065 416538736 520673420 624808104 650841775 781010130 1041346840 1249616208 1301683550 1562020260 1952525325 2082693680 2603367100 3124040520 3905050650 5206734200 6248081040 7810101300 10413468400 15620202600 31240405200