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3413131310 = 2517193189383
BaseRepresentation
bin1100101101110000…
…0100000000101110
322210212102000221202
43023130010000232
523442230200220
61322403125502
7150403065101
oct31334040056
98725360852
103413131310
1114a1695086
127b3073892
13425172a34
14245428738
1514e99d275
hexcb70402e

3413131310 has 128 divisors (see below), whose sum is σ = 7166361600. Its totient is φ = 1161768960.

The previous prime is 3413131303. The next prime is 3413131333. The reversal of 3413131310 is 131313143.

It is a super-2 number, since 2×34131313102 = 23298930678604632200, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 8911379 + ... + 8911761.

It is an arithmetic number, because the mean of its divisors is an integer number (55987200).

Almost surely, 23413131310 is an apocalyptic number.

3413131310 is an abundant number, since it is smaller than the sum of its proper divisors (3753230290).

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

3413131310 is a wasteful number, since it uses less digits than its factorization.

3413131310 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 546.

The product of its (nonzero) digits is 324, while the sum is 20.

The square root of 3413131310 is about 58422.0104926217. The cubic root of 3413131310 is about 1505.6279407431.

Adding to 3413131310 its reverse (131313143), we get a palindrome (3544444453).

The spelling of 3413131310 in words is "three billion, four hundred thirteen million, one hundred thirty-one thousand, three hundred ten".

Divisors: 1 2 5 10 17 19 31 34 38 62 85 89 95 155 170 178 190 310 323 383 445 527 589 646 766 890 1054 1178 1513 1615 1691 1915 2635 2759 2945 3026 3230 3382 3830 5270 5518 5890 6511 7277 7565 8455 10013 11873 13022 13795 14554 15130 16910 20026 23746 27590 28747 32555 34087 36385 46903 50065 52421 57494 59365 65110 68174 72770 93806 100130 104842 118730 123709 143735 170435 201841 225587 234515 247418 262105 287470 340870 403682 451174 469030 524210 579479 618545 647653 891157 1009205 1056697 1127935 1158958 1237090 1295306 1782314 2018410 2113394 2255870 2897395 3238265 3834979 4455785 5283485 5794790 6476530 7669958 8911570 10566970 11010101 17963849 19174895 20077243 22020202 35927698 38349790 40154486 55050505 89819245 100386215 110101010 179638490 200772430 341313131 682626262 1706565655 3413131310