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31200200320 = 275440911057
BaseRepresentation
bin11101000011101011…
…010100011010000000
32222112101200101200211
4131003223110122000
51002344222402240
622155544323504
72153112220102
oct350353243200
988471611624
1031200200320
1112260777323
126068a73594
132c32c297c3
14171d9cb572
15c291a3bea
hex743ad4680

31200200320 has 64 divisors (see below), whose sum is σ = 74611643400. Its totient is φ = 12476121088.

The previous prime is 31200200267. The next prime is 31200200321. The reversal of 31200200320 is 2300200213.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 12470635584 + 18729564736 = 111672^2 + 136856^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is a self number, because there is not a number n which added to its sum of digits gives 31200200320.

It is not an unprimeable number, because it can be changed into a prime (31200200321) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2816232 + ... + 2827288.

Almost surely, 231200200320 is an apocalyptic number.

It is an amenable number.

31200200320 is an abundant number, since it is smaller than the sum of its proper divisors (43411443080).

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

31200200320 is a wasteful number, since it uses less digits than its factorization.

31200200320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15485 (or 15473 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 13.

Adding to 31200200320 its reverse (2300200213), we get a palindrome (33500400533).

The spelling of 31200200320 in words is "thirty-one billion, two hundred million, two hundred thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 320 640 4409 8818 11057 17636 22045 22114 35272 44090 44228 55285 70544 88180 88456 110570 141088 176360 176912 221140 282176 352720 353824 442280 564352 705440 707648 884560 1410880 1415296 1769120 2821760 3538240 7076480 48750313 97500626 195001252 243751565 390002504 487503130 780005008 975006260 1560010016 1950012520 3120020032 3900025040 6240040064 7800050080 15600100160 31200200320