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32003134020 = 22355111346049
BaseRepresentation
bin11101110011100010…
…010001001001000100
310001121100112122200000
4131303202101021010
51011020300242040
622411350121300
72212032102504
oct356342211104
9101540478600
1032003134020
1112632a312a0
126251950230
133030398ac0
1417984bba04
15c7490a130
hex773891244

32003134020 has 288 divisors, whose sum is σ = 118274083200. Its totient is φ = 7161384960.

The previous prime is 32003134019. The next prime is 32003134069. The reversal of 32003134020 is 2043130023.

32003134020 is a `hidden beast` number, since 320 + 0 + 3 + 1 + 340 + 2 + 0 = 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 = 32003133984 and 32003134002.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 671956 + ... + 718004.

It is an arithmetic number, because the mean of its divisors is an integer number (410673900).

Almost surely, 232003134020 is an apocalyptic number.

32003134020 is a gapful number since it is divisible by the number (30) 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 32003134020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59137041600).

32003134020 is an abundant number, since it is smaller than the sum of its proper divisors (86270949180).

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

32003134020 is a wasteful number, since it uses less digits than its factorization.

32003134020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46097 (or 46083 counting only the distinct ones).

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

Adding to 32003134020 its reverse (2043130023), we get a palindrome (34046264043).

The spelling of 32003134020 in words is "thirty-two billion, three million, one hundred thirty-four thousand, twenty".