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1032320021220 = 22355212411527
BaseRepresentation
bin11110000010110110001…
…00010111001011100100
310122200121011020121200000
433001123010113023210
5113403142411134340
62110124040421300
7134403565254105
oct17013304271344
93580534217600
101032320021220
11368893815234
121480a1a77830
13764691c5a57
1437d70a523ac
151bcbddb8d30
hexf05b1172e4

1032320021220 has 72 divisors (see below), whose sum is σ = 3247347440064. Its totient is φ = 275285337696.

The previous prime is 1032320021203. The next prime is 1032320021221. The reversal of 1032320021220 is 221200232301.

1032320021220 is a `hidden beast` number, since 103 + 2 + 320 + 0 + 21 + 220 = 666.

It is a super-2 number, since 2×10323200212202 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 1032320021193 and 1032320021202.

It is not an unprimeable number, because it can be changed into a prime (1032320021221) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 106200904 + ... + 106210623.

Almost surely, 21032320021220 is an apocalyptic number.

1032320021220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1032320021220 is an abundant number, since it is smaller than the sum of its proper divisors (2215027418844).

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

1032320021220 is a wasteful number, since it uses less digits than its factorization.

1032320021220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 212411551 (or 212411537 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 1032320021220 its reverse (221200232301), we get a palindrome (1253520253521).

The spelling of 1032320021220 in words is "one trillion, thirty-two billion, three hundred twenty million, twenty-one thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 81 90 108 135 162 180 243 270 324 405 486 540 810 972 1215 1620 2430 4860 212411527 424823054 637234581 849646108 1062057635 1274469162 1911703743 2124115270 2548938324 3186172905 3823407486 4248230540 5735111229 6372345810 7646814972 9558518715 11470222458 12744691620 17205333687 19117037430 22940444916 28675556145 34410667374 38234074860 51616001061 57351112290 68821334748 86026668435 103232002122 114702224580 172053336870 206464004244 258080005305 344106673740 516160010610 1032320021220