Search a number
-
+
1010200211020 = 22571113531675701
BaseRepresentation
bin11101011001101001001…
…11111110111001001100
310120120111120220211111101
432230310213332321030
5113022342223223040
62052025104232444
7132661463054410
oct16546447767114
93516446824441
101010200211020
1135a472757460
1214394a00b724
13743525b5370
1436c73004d40
151b426ec109a
hexeb349fee4c

1010200211020 has 384 divisors, whose sum is σ = 2919972851712. Its totient is φ = 283405824000.

The previous prime is 1010200210993. The next prime is 1010200211023. The reversal of 1010200211020 is 201120020101.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 1010200210988 and 1010200211006.

It is not an unprimeable number, because it can be changed into a prime (1010200211023) 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, 177194170 + ... + 177199870.

It is an arithmetic number, because the mean of its divisors is an integer number (7604095968).

Almost surely, 21010200211020 is an apocalyptic number.

1010200211020 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 1010200211020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1459986425856).

1010200211020 is an abundant number, since it is smaller than the sum of its proper divisors (1909772640692).

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

1010200211020 is a wasteful number, since it uses less digits than its factorization.

1010200211020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5961 (or 5959 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 1010200211020 its reverse (201120020101), we get a palindrome (1211320231121).

The spelling of 1010200211020 in words is "one trillion, ten billion, two hundred million, two hundred eleven thousand, twenty".