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431311221030 = 23547716476659
BaseRepresentation
bin1100100011011000010…
…01101111000100100110
31112020021211011012110210
412101230021233010212
524031311133033110
6530050332200250
743106202613464
oct6215411570446
91466254135423
10431311221030
11156a10a38178
126b711309086
1331898569971
1416c3880d834
15b3456cc520
hex646c26f126

431311221030 has 128 divisors (see below), whose sum is σ = 1073879285760. Its totient is φ = 110795511680.

The previous prime is 431311221023. The next prime is 431311221031. The reversal of 431311221030 is 30122113134.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 431311220988 and 431311221006.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (431311221031) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 64767841 + ... + 64774499.

It is an arithmetic number, because the mean of its divisors is an integer number (8389681920).

Almost surely, 2431311221030 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 431311221030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (536939642880).

431311221030 is an abundant number, since it is smaller than the sum of its proper divisors (642568064730).

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

431311221030 is a wasteful number, since it uses less digits than its factorization.

431311221030 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7434.

The product of its (nonzero) digits is 432, while the sum is 21.

Adding to 431311221030 its reverse (30122113134), we get a palindrome (461433334164).

The spelling of 431311221030 in words is "four hundred thirty-one billion, three hundred eleven million, two hundred twenty-one thousand, thirty".

Divisors: 1 2 3 5 6 10 15 30 47 71 94 141 142 213 235 282 355 426 470 647 705 710 1065 1294 1410 1941 2130 3235 3337 3882 6470 6659 6674 9705 10011 13318 16685 19410 19977 20022 30409 33295 33370 39954 45937 50055 60818 66590 91227 91874 99885 100110 137811 152045 182454 199770 229685 275622 304090 312973 456135 459370 472789 625946 689055 912270 938919 945578 1378110 1418367 1564865 1877838 2159039 2363945 2836734 3129730 4308373 4318078 4694595 4727890 6477117 7091835 8616746 9389190 10795195 12925119 12954234 14183670 21541865 21590390 22221083 25850238 32385585 43083730 44442166 64625595 64771170 66663249 111105415 129251190 133326498 202493531 222210830 305894483 333316245 404987062 607480593 611788966 666632490 917683449 1012467655 1214961186 1529472415 1835366898 2024935310 3037402965 3058944830 4588417245 6074805930 9176834490 14377040701 28754081402 43131122103 71885203505 86262244206 143770407010 215655610515 431311221030