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31424150200 = 235223101239283
BaseRepresentation
bin11101010001000001…
…100111101010111000
310000010000002020011211
4131101001213222320
51003324040301300
622234104332504
72161501604152
oct352101475270
9100100066154
1031424150200
1112366128173
12610ba74134
132c6a44b021
141741645ad2
15c3db8e4ba
hex751067ab8

31424150200 has 192 divisors, whose sum is σ = 77587891200. Its totient is φ = 11812416000.

The previous prime is 31424150159. The next prime is 31424150201. The reversal of 31424150200 is 205142413.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31424150201) 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 47 ways as a sum of consecutive naturals, for example, 111039259 + ... + 111039541.

It is an arithmetic number, because the mean of its divisors is an integer number (404103600).

Almost surely, 231424150200 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 31424150200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38793945600).

31424150200 is an abundant number, since it is smaller than the sum of its proper divisors (46163741000).

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

31424150200 is a wasteful number, since it uses less digits than its factorization.

31424150200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 662 (or 653 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 22.

Adding to 31424150200 its reverse (205142413), we get a palindrome (31629292613).

The spelling of 31424150200 in words is "thirty-one billion, four hundred twenty-four million, one hundred fifty thousand, two hundred".