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2031424401300 = 2235275031923151
BaseRepresentation
bin11101100011111010010…
…101000110111110010100
321012012110110101211120220
4131203322111012332110
5231240324121320200
64153120134554340
7266523406336260
oct35437225067624
97165413354526
102031424401300
1171358212a678
12289853b089b0
13119740a6c778
147047015d0a0
1537c96bbb4a0
hex1d8fa546f94

2031424401300 has 144 divisors (see below), whose sum is σ = 6730601213952. Its totient is φ = 463402224000.

The previous prime is 2031424401299. The next prime is 2031424401301. The reversal of 2031424401300 is 31044241302.

It is an interprime number because it is at equal distance from previous prime (2031424401299) and next prime (2031424401301).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2031424401301) 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 47 ways as a sum of consecutive naturals, for example, 94725 + ... + 2017875.

It is an arithmetic number, because the mean of its divisors is an integer number (46740286208).

Almost surely, 22031424401300 is an apocalyptic number.

2031424401300 is a gapful number since it is divisible by the number (20) 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 2031424401300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3365300606976).

2031424401300 is an abundant number, since it is smaller than the sum of its proper divisors (4699176812652).

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

2031424401300 is a wasteful number, since it uses less digits than its factorization.

2031424401300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1923678 (or 1923671 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 2031424401300 its reverse (31044241302), we get a palindrome (2062468642602).

The spelling of 2031424401300 in words is "two trillion, thirty-one billion, four hundred twenty-four million, four hundred one thousand, three hundred".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 25 28 30 35 42 50 60 70 75 84 100 105 140 150 175 210 300 350 420 503 525 700 1006 1050 1509 2012 2100 2515 3018 3521 5030 6036 7042 7545 10060 10563 12575 14084 15090 17605 21126 25150 30180 35210 37725 42252 50300 52815 70420 75450 88025 105630 150900 176050 211260 264075 352100 528150 1056300 1923151 3846302 5769453 7692604 9615755 11538906 13462057 19231510 23077812 26924114 28847265 38463020 40386171 48078775 53848228 57694530 67310285 80772342 96157550 115389060 134620570 144236325 161544684 192315100 201930855 269241140 288472650 336551425 403861710 576945300 673102850 807723420 967344953 1009654275 1346205700 1934689906 2019308550 2902034859 3869379812 4038617100 4836724765 5804069718 6771414671 9673449530 11608139436 13542829342 14510174295 19346899060 20314244013 24183623825 27085658684 29020348590 33857073355 40628488026 48367247650 58040697180 67714146710 72550871475 81256976052 96734495300 101571220065 135428293420 145101742950 169285366775 203142440130 290203485900 338570733550 406284880260 507856100325 677141467100 1015712200650 2031424401300