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31434250200 = 23352101518717
BaseRepresentation
bin11101010001101000…
…001001011111011000
310000010201002100202220
4131101220021133120
51003334132001300
622235105024040
72161653501213
oct352150113730
9100121070686
1031434250200
11123708a6481
126113325020
132c6c576262
141742b1477a
15c3e9d6da0
hex751a097d8

31434250200 has 96 divisors (see below), whose sum is σ = 98411178960. Its totient is φ = 8299456000.

The previous prime is 31434250147. The next prime is 31434250207. The reversal of 31434250200 is 205243413.

It is a super-2 number, since 2×314342502002 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31434250207) 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, 198759 + ... + 319958.

Almost surely, 231434250200 is an apocalyptic number.

31434250200 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

31434250200 is an abundant number, since it is smaller than the sum of its proper divisors (66976928760).

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

31434250200 is a wasteful number, since it uses less digits than its factorization.

31434250200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 518837 (or 518828 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 24.

Adding to 31434250200 its reverse (205243413), we get a palindrome (31639493613).

The spelling of 31434250200 in words is "thirty-one billion, four hundred thirty-four million, two hundred fifty thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 101 120 150 200 202 300 303 404 505 600 606 808 1010 1212 1515 2020 2424 2525 3030 4040 5050 6060 7575 10100 12120 15150 20200 30300 60600 518717 1037434 1556151 2074868 2593585 3112302 4149736 5187170 6224604 7780755 10374340 12449208 12967925 15561510 20748680 25935850 31123020 38903775 51871700 52390417 62246040 77807550 103743400 104780834 155615100 157171251 209561668 261952085 311230200 314342502 419123336 523904170 628685004 785856255 1047808340 1257370008 1309760425 1571712510 2095616680 2619520850 3143425020 3929281275 5239041700 6286850040 7858562550 10478083400 15717125100 31434250200