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1023414044220 = 223359911912423
BaseRepresentation
bin11101110010010000011…
…10110000011000111100
310121211121111002002222000
432321020032300120330
5113231422443403340
62102052214422300
7133640103562431
oct16711016603074
93554544062860
101023414044220
11365033602967
12146417361990
137567a075889
1437767d13b88
151b94c0b0d30
hexee483b063c

1023414044220 has 96 divisors (see below), whose sum is σ = 3187169341440. Its totient is φ = 272634880320.

The previous prime is 1023414044207. The next prime is 1023414044249. The reversal of 1023414044220 is 224404143201.

1023414044220 is a `hidden beast` number, since 1 + 0 + 2 + 34 + 1 + 404 + 4 + 220 = 666.

It is a super-2 number, since 2×10234140442202 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 421072 + ... + 1491351.

It is an arithmetic number, because the mean of its divisors is an integer number (33199680640).

Almost surely, 21023414044220 is an apocalyptic number.

1023414044220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1023414044220 is an abundant number, since it is smaller than the sum of its proper divisors (2163755297220).

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

1023414044220 is a wasteful number, since it uses less digits than its factorization.

1023414044220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1913432 (or 1913424 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

Adding to 1023414044220 its reverse (224404143201), we get a palindrome (1247818187421).

The spelling of 1023414044220 in words is "one trillion, twenty-three billion, four hundred fourteen million, forty-four thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 90 108 135 180 270 540 991 1982 2973 3964 4955 5946 8919 9910 11892 14865 17838 19820 26757 29730 35676 44595 53514 59460 89190 107028 133785 178380 267570 535140 1912423 3824846 5737269 7649692 9562115 11474538 17211807 19124230 22949076 28686345 34423614 38248460 51635421 57372690 68847228 86059035 103270842 114745380 172118070 206541684 258177105 344236140 516354210 1032708420 1895211193 3790422386 5685633579 7580844772 9476055965 11371267158 17056900737 18952111930 22742534316 28428167895 34113801474 37904223860 51170702211 56856335790 68227602948 85284503685 102341404422 113712671580 170569007370 204682808844 255853511055 341138014740 511707022110 1023414044220