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1301098266340 = 225292442117497
BaseRepresentation
bin10010111011101111011…
…111111111111011100100
311121101100202221011102021
4102323233133333323210
5132304122124010330
62433414415152524
7163000266534145
oct22735737777344
94541322834367
101301098266340
1146187a062a24
121901b3215744
13959017bbc92
1446d8b395acc
1523ca056767a
hex12eef7ffee4

1301098266340 has 72 divisors (see below), whose sum is σ = 2830574538792. Its totient is φ = 502350750720.

The previous prime is 1301098266319. The next prime is 1301098266371. The reversal of 1301098266340 is 436628901031.

It can be written as a sum of positive squares in 12 ways, for example, as 445014404836 + 856083861504 = 667094^2 + 925248^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 74352472 + ... + 74369968.

It is an arithmetic number, because the mean of its divisors is an integer number (39313535261).

Almost surely, 21301098266340 is an apocalyptic number.

1301098266340 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 1301098266340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1415287269396).

1301098266340 is an abundant number, since it is smaller than the sum of its proper divisors (1529476272452).

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

1301098266340 is a wasteful number, since it uses less digits than its factorization.

1301098266340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21985 (or 21954 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 43.

The spelling of 1301098266340 in words is "one trillion, three hundred one billion, ninety-eight million, two hundred sixty-six thousand, three hundred forty".

Divisors: 1 2 4 5 10 20 29 58 116 145 290 580 841 1682 3364 4205 4421 8410 8842 16820 17497 17684 22105 34994 44210 69988 87485 88420 128209 174970 256418 349940 507413 512836 641045 1014826 1282090 2029652 2537065 2564180 3718061 5074130 7436122 10148260 14714977 14872244 18590305 29429954 37180610 58859908 73574885 74361220 77354237 147149770 154708474 294299540 309416948 386771185 773542370 1547084740 2243272873 4486545746 8973091492 11216364365 22432728730 44865457460 65054913317 130109826634 260219653268 325274566585 650549133170 1301098266340