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1051315220 = 225195574967
BaseRepresentation
bin111110101010011…
…100110000010100
32201021020100100202
4332222130300110
54123114041340
6252153200032
735024013644
oct7652346024
92637210322
101051315220
1149a49275a
12254100018
13139a66117
149d8a8524
156246ac15
hex3ea9cc14

1051315220 has 48 divisors (see below), whose sum is σ = 2328600960. Its totient is φ = 397597824.

The previous prime is 1051315193. The next prime is 1051315231. The reversal of 1051315220 is 225131501.

It is a happy number.

1051315220 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×10513152202 = 2210527383607296800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 1051315192 and 1051315201.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 209177 + ... + 214143.

It is an arithmetic number, because the mean of its divisors is an integer number (48512520).

Almost surely, 21051315220 is an apocalyptic number.

1051315220 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 1051315220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1164300480).

1051315220 is an abundant number, since it is smaller than the sum of its proper divisors (1277285740).

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

1051315220 is a wasteful number, since it uses less digits than its factorization.

1051315220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5552 (or 5550 counting only the distinct ones).

The product of its (nonzero) digits is 300, while the sum is 20.

The square root of 1051315220 is about 32423.9914261030. The cubic root of 1051315220 is about 1016.8205558804.

Adding to 1051315220 its reverse (225131501), we get a palindrome (1276446721).

The spelling of 1051315220 in words is "one billion, fifty-one million, three hundred fifteen thousand, two hundred twenty".

Divisors: 1 2 4 5 10 19 20 38 76 95 190 380 557 1114 2228 2785 4967 5570 9934 10583 11140 19868 21166 24835 42332 49670 52915 94373 99340 105830 188746 211660 377492 471865 943730 1887460 2766619 5533238 11066476 13833095 27666190 52565761 55332380 105131522 210263044 262828805 525657610 1051315220