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31432020030 = 234531432677
BaseRepresentation
bin11101010001011111…
…101001000000111110
310000010112220001120000
4131101133221000332
51003333044120110
622234545135130
72161625522235
oct352137510076
9100115801500
1031432020030
111236a612964
12611262a4a6
132c6bc75128
1417426d3b1c
15c3e6e61c0
hex7517e903e

31432020030 has 240 divisors, whose sum is σ = 89451609984. Its totient is φ = 7911146880.

The previous prime is 31432020013. The next prime is 31432020031. The reversal of 31432020030 is 3002023413.

31432020030 is a `hidden beast` number, since 3 + 1 + 432 + 0 + 200 + 30 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 31432019985 and 31432020012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31432020031) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 46428052 + ... + 46428728.

Almost surely, 231432020030 is an apocalyptic number.

31432020030 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 31432020030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44725804992).

31432020030 is an abundant number, since it is smaller than the sum of its proper divisors (58019589954).

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

31432020030 is a wasteful number, since it uses less digits than its factorization.

31432020030 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 813 (or 761 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

Adding to 31432020030 its reverse (3002023413), we get a palindrome (34434043443).

The spelling of 31432020030 in words is "thirty-one billion, four hundred thirty-two million, twenty thousand, thirty".