Search a number
-
+
1031210200020 = 22357111319878641
BaseRepresentation
bin11110000000110001110…
…10101110101111010100
310122120201210220212012010
433000120322232233110
5113343404302400040
62105421553224220
7134334231034560
oct17003072565724
93576653825163
101031210200020
11368374302130
12147a32262070
13763202b6a10
1437ca74b86a0
151bc56742e80
hexf018eaebd4

1031210200020 has 384 divisors, whose sum is σ = 3879173394432. Its totient is φ = 197672140800.

The previous prime is 1031210200003. The next prime is 1031210200021. The reversal of 1031210200020 is 200020121301.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 1031210199969 and 1031210200005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1031210200021) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 119334900 + ... + 119343540.

It is an arithmetic number, because the mean of its divisors is an integer number (10102014048).

Almost surely, 21031210200020 is an apocalyptic number.

1031210200020 is a gapful number since it is divisible by the number (10) 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 1031210200020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1939586697216).

1031210200020 is an abundant number, since it is smaller than the sum of its proper divisors (2847963194412).

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

1031210200020 is a wasteful number, since it uses less digits than its factorization.

1031210200020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10671 (or 10669 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

Adding to 1031210200020 its reverse (200020121301), we get a palindrome (1231230321321).

The spelling of 1031210200020 in words is "one trillion, thirty-one billion, two hundred ten million, two hundred thousand, twenty".