Search a number
-
+
1021433040420 = 22351329671016673
BaseRepresentation
bin11101101110100100010…
…01110100111000100100
310121122111102110200121220
432313102021310320210
5113213343324243140
62101123450540340
7133540030406232
oct16672211647044
93548442420556
101021433040420
11364207360441
12145b63a376b0
137542281ca90
143761aba1952
151b883201bd0
hexedd2274e24

1021433040420 has 384 divisors, whose sum is σ = 3266283363840. Its totient is φ = 236733235200.

The previous prime is 1021433040413. The next prime is 1021433040437. The reversal of 1021433040420 is 240403341201.

1021433040420 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 153066204 + ... + 153072876.

It is an arithmetic number, because the mean of its divisors is an integer number (8505946260).

Almost surely, 21021433040420 is an apocalyptic number.

1021433040420 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 1021433040420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1633141681920).

1021433040420 is an abundant number, since it is smaller than the sum of its proper divisors (2244850323420).

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

1021433040420 is a wasteful number, since it uses less digits than its factorization.

1021433040420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6895 (or 6893 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 1021433040420 its reverse (240403341201), we get a palindrome (1261836381621).

The spelling of 1021433040420 in words is "one trillion, twenty-one billion, four hundred thirty-three million, forty thousand, four hundred twenty".