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1004323210220 = 2251126742114713
BaseRepresentation
bin11101001110101100101…
…01000000001111101100
310120000100000022021000002
432213112111000033230
5112423323220211340
62045214003523432
7132363031301321
oct16472625001754
93500300267002
101004323210220
11357a272a6800
12142789989578
1373926b536b5
1436876692b48
151b1d1082715
hexe9d65403ec

1004323210220 has 144 divisors (see below), whose sum is σ = 2358593225184. Its totient is φ = 358878643200.

The previous prime is 1004323210207. The next prime is 1004323210223. The reversal of 1004323210220 is 220123234001.

1004323210220 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×10043232102202 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 1004323210192 and 1004323210201.

It is not an unprimeable number, because it can be changed into a prime (1004323210223) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 68253584 + ... + 68268296.

Almost surely, 21004323210220 is an apocalyptic number.

1004323210220 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 1004323210220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1179296612592).

1004323210220 is an abundant number, since it is smaller than the sum of its proper divisors (1354270014964).

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

1004323210220 is a wasteful number, since it uses less digits than its factorization.

1004323210220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15232 (or 15219 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 1004323210220 its reverse (220123234001), we get a palindrome (1224446444221).

The spelling of 1004323210220 in words is "one trillion, four billion, three hundred twenty-three million, two hundred ten thousand, two hundred twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 67 110 121 134 220 242 268 335 421 484 605 670 737 842 1210 1340 1474 1684 2105 2420 2948 3685 4210 4631 7370 8107 8420 9262 14713 14740 16214 18524 23155 28207 29426 32428 40535 46310 50941 56414 58852 73565 81070 92620 101882 112828 141035 147130 161843 162140 203764 254705 282070 294260 310277 323686 509410 564140 620554 647372 809215 985771 1018820 1241108 1551385 1618430 1780273 1971542 3102770 3236860 3413047 3560546 3943084 4928855 6194173 6205540 6826094 7121092 8901365 9857710 10843481 12388346 13652188 17065235 17802730 19715420 21686962 24776692 30970865 34130470 35605460 43373924 54217405 61941730 68135903 68260940 108434810 119278291 123883460 136271806 216869620 238556582 272543612 340679515 415009591 477113164 596391455 681359030 749494933 830019182 1192782910 1362718060 1498989866 1660038364 2075047955 2385565820 2997979732 3747474665 4150095910 4565105501 7494949330 8300191820 9130211002 14989898660 18260422004 22825527505 45651055010 50216160511 91302110020 100432321022 200864642044 251080802555 502161605110 1004323210220