Search a number
-
+
1021010210220 = 223571113158310739
BaseRepresentation
bin11101101101110001111…
…00110110110110101100
310121121101221211200122010
432312320330312312230
5113212012103211340
62101013504121220
7133523404410150
oct16667074666654
93547357750563
101021010210220
1136400a7118a0
12145a66306210
1375386046ab0
14375ba977060
151b85b02db80
hexedb8f36dac

1021010210220 has 384 divisors, whose sum is σ = 3841209630720. Its totient is φ = 195696184320.

The previous prime is 1021010210203. The next prime is 1021010210243. The reversal of 1021010210220 is 220120101201.

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 = 1021010210196 and 1021010210205.

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, 95069611 + ... + 95080349.

It is an arithmetic number, because the mean of its divisors is an integer number (10003150080).

Almost surely, 21021010210220 is an apocalyptic number.

1021010210220 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 1021010210220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1920604815360).

1021010210220 is an abundant number, since it is smaller than the sum of its proper divisors (2820199420500).

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

1021010210220 is a wasteful number, since it uses less digits than its factorization.

1021010210220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12365 (or 12363 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 1021010210220 its reverse (220120101201), we get a palindrome (1241130311421).

The spelling of 1021010210220 in words is "one trillion, twenty-one billion, ten million, two hundred ten thousand, two hundred twenty".