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1221023020 = 225727132183
BaseRepresentation
bin100100011000111…
…0101010100101100
310011002120101200211
41020301311110230
510000040214040
6321054432204
742154344610
oct11061652454
93132511624
101221023020
11577265738
122a0b02664
13165c75439
14b8243340
15722de8ea
hex48c7552c

1221023020 has 48 divisors (see below), whose sum is σ = 2941360128. Its totient is φ = 417078720.

The previous prime is 1221023017. The next prime is 1221023159. The reversal of 1221023020 is 203201221.

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, 21849 + ... + 54031.

It is an arithmetic number, because the mean of its divisors is an integer number (61278336).

Almost surely, 21221023020 is an apocalyptic number.

1221023020 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 1221023020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1470680064).

1221023020 is an abundant number, since it is smaller than the sum of its proper divisors (1720337108).

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

1221023020 is a wasteful number, since it uses less digits than its factorization.

1221023020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32470 (or 32468 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 13.

The square root of 1221023020 is about 34943.1398131307. The cubic root of 1221023020 is about 1068.8283153628.

Adding to 1221023020 its reverse (203201221), we get a palindrome (1424224241).

The spelling of 1221023020 in words is "one billion, two hundred twenty-one million, twenty-three thousand, twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 140 271 542 1084 1355 1897 2710 3794 5420 7588 9485 18970 32183 37940 64366 128732 160915 225281 321830 450562 643660 901124 1126405 2252810 4505620 8721593 17443186 34886372 43607965 61051151 87215930 122102302 174431860 244204604 305255755 610511510 1221023020