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431220303020 = 2251343187320593
BaseRepresentation
bin1100100011001101011…
…10111010010010101100
31112020001111002002102002
412101212232322102230
524031114344144040
6530033323351432
743104020045423
oct6214656722254
91466044062362
10431220303020
1115697468a121
126b6a6982578
1331882785c20
1416c2a7042ba
15b33c71da15
hex6466bba4ac

431220303020 has 96 divisors (see below), whose sum is σ = 998482132032. Its totient is φ = 155426439168.

The previous prime is 431220303011. The next prime is 431220303023. The reversal of 431220303020 is 20303022134.

It is a super-2 number, since 2×4312203030202 (a number of 24 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 = 431220302983 and 431220303001.

It is not an unprimeable number, because it can be changed into a prime (431220303023) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 20929844 + ... + 20950436.

It is an arithmetic number, because the mean of its divisors is an integer number (10400855542).

Almost surely, 2431220303020 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 431220303020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (499241066016).

431220303020 is an abundant number, since it is smaller than the sum of its proper divisors (567261829012).

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

431220303020 is a wasteful number, since it uses less digits than its factorization.

431220303020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22531 (or 22529 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 20.

Adding to 431220303020 its reverse (20303022134), we get a palindrome (451523325154).

The spelling of 431220303020 in words is "four hundred thirty-one billion, two hundred twenty million, three hundred three thousand, twenty".

Divisors: 1 2 4 5 10 13 20 26 43 52 65 86 130 172 215 260 430 559 860 1118 1873 2236 2795 3746 5590 7492 9365 11180 18730 20593 24349 37460 41186 48698 80539 82372 97396 102965 121745 161078 205930 243490 267709 322156 402695 411860 486980 535418 805390 885499 1047007 1070836 1338545 1610780 1770998 2094014 2677090 3541996 4188028 4427495 5235035 5354180 8854990 10470070 11511487 17709980 20940140 23022974 38570689 46045948 57557435 77141378 115114870 154282756 192853445 230229740 385706890 501418957 771413780 1002837914 1658539627 2005675828 2507094785 3317079254 5014189570 6634158508 8292698135 10028379140 16585396270 21561015151 33170792540 43122030302 86244060604 107805075755 215610151510 431220303020