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1020221120 = 26523138617
BaseRepresentation
bin111100110011110…
…101011011000000
32122002201121021102
4330303311123000
54042134033440
6245122513532
734165510412
oct7463653300
92562647242
101020221120
11483985256
122458058a8
1313349a149
14996d29b2
155e877b15
hex3ccf56c0

1020221120 has 56 divisors (see below), whose sum is σ = 2535045984. Its totient is φ = 390342656.

The previous prime is 1020221113. The next prime is 1020221123. The reversal of 1020221120 is 211220201.

It is a happy number.

It is a super-2 number, since 2×10202211202 = 2081702267388108800, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1020221123) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 61949 + ... + 76668.

Almost surely, 21020221120 is an apocalyptic number.

1020221120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1020221120 is an abundant number, since it is smaller than the sum of its proper divisors (1514824864).

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

1020221120 is a wasteful number, since it uses less digits than its factorization.

1020221120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 138657 (or 138647 counting only the distinct ones).

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

The square root of 1020221120 is about 31940.9004256298. The cubic root of 1020221120 is about 1006.6954443089.

Adding to 1020221120 its reverse (211220201), we get a palindrome (1231441321).

The spelling of 1020221120 in words is "one billion, twenty million, two hundred twenty-one thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 23 32 40 46 64 80 92 115 160 184 230 320 368 460 736 920 1472 1840 3680 7360 138617 277234 554468 693085 1108936 1386170 2217872 2772340 3188191 4435744 5544680 6376382 8871488 11089360 12752764 15940955 22178720 25505528 31881910 44357440 51011056 63763820 102022112 127527640 204044224 255055280 510110560 1020221120