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1331255304350 = 2521719759110859
BaseRepresentation
bin10011010111110100111…
…111111110000010011110
311201021012110201102102222
4103113310333332002132
5133302402324214400
62455323101145342
7165115514244566
oct23276477760236
94637173642388
101331255304350
11473644a05a34
1219600a85b252
13986c957857a
144860c5dbda6
1524967d61185
hex135f4ffe09e

1331255304350 has 96 divisors (see below), whose sum is σ = 2760396537600. Its totient is φ = 474694387200.

The previous prime is 1331255304349. The next prime is 1331255304359. The reversal of 1331255304350 is 534035521331.

It is a happy number.

It is a super-2 number, since 2×13312553043502 (a number of 25 digits) contains 22 as substring.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 1331255304350.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1331255304359) 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, 122589221 + ... + 122600079.

It is an arithmetic number, because the mean of its divisors is an integer number (28754130600).

Almost surely, 21331255304350 is an apocalyptic number.

1331255304350 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1331255304350 is an abundant number, since it is smaller than the sum of its proper divisors (1429141233250).

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

1331255304350 is a wasteful number, since it uses less digits than its factorization.

1331255304350 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18498 (or 18493 counting only the distinct ones).

The product of its (nonzero) digits is 81000, while the sum is 35.

The spelling of 1331255304350 in words is "one trillion, three hundred thirty-one billion, two hundred fifty-five million, three hundred four thousand, three hundred fifty".

Divisors: 1 2 5 10 17 19 25 34 38 50 85 95 170 190 323 425 475 646 850 950 1615 3230 7591 8075 10859 15182 16150 21718 37955 54295 75910 108590 129047 144229 184603 189775 206321 258094 271475 288458 369206 379550 412642 542950 645235 721145 923015 1031605 1290470 1442290 1846030 2063210 2451893 3226175 3507457 3605725 4615075 4903786 5158025 6452350 7014914 7211450 9230150 10316050 12259465 17537285 24518930 35074570 61297325 82430669 87686425 122594650 164861338 175372850 412153345 824306690 1401321373 1566182711 2060766725 2802642746 3132365422 4121533450 7006606865 7830913555 14013213730 15661827110 26625106087 35033034325 39154567775 53250212174 70066068650 78309135550 133125530435 266251060870 665627652175 1331255304350