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1020211220 = 225719138153
BaseRepresentation
bin111100110011110…
…011000000010100
32122002201002200202
4330303303000110
54042133224340
6245122400032
734165436510
oct7463630024
92562632622
101020211220
11483978876
12245800018
131334957a2
14996cd140
155e874c15
hex3ccf3014

1020211220 has 48 divisors (see below), whose sum is σ = 2461390848. Its totient is φ = 347946240.

The previous prime is 1020211219. The next prime is 1020211229. The reversal of 1020211220 is 221120201.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1020211229) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7664 + ... + 45816.

It is an arithmetic number, because the mean of its divisors is an integer number (51278976).

Almost surely, 21020211220 is an apocalyptic number.

1020211220 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 1020211220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1230695424).

1020211220 is an abundant number, since it is smaller than the sum of its proper divisors (1441179628).

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

1020211220 is a wasteful number, since it uses less digits than its factorization.

1020211220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38360 (or 38358 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

The square root of 1020211220 is about 31940.7454515389. The cubic root of 1020211220 is about 1006.6921880484.

Adding to 1020211220 its reverse (221120201), we get a palindrome (1241331421).

The spelling of 1020211220 in words is "one billion, twenty million, two hundred eleven thousand, two hundred twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 140 191 382 764 955 1337 1910 2674 3820 5348 6685 13370 26740 38153 76306 152612 190765 267071 381530 534142 763060 1068284 1335355 2670710 5341420 7287223 14574446 29148892 36436115 51010561 72872230 102021122 145744460 204042244 255052805 510105610 1020211220