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1321200041300 = 225233739204749
BaseRepresentation
bin10011001110011101101…
…010001011110101010100
311200022020200222010122222
4103032131222023311110
5133121304202310200
62450541222041512
7164311366025066
oct23163552136524
94608220863588
101321200041300
1146a354a85a87
12194083279298
13977862ac289
1447d36db1736
152457a1d8d85
hex1339da8bd54

1321200041300 has 36 divisors (see below), whose sum is σ = 2875511593500. Its totient is φ = 526911813120.

The previous prime is 1321200041299. The next prime is 1321200041327. The reversal of 1321200041300 is 31400021231.

It can be written as a sum of positive squares in 6 ways, for example, as 52972704964 + 1268227336336 = 230158^2 + 1126156^2 .

It is a super-3 number, since 3×13212000413003 (a number of 37 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 19568675 + ... + 19636074.

Almost surely, 21321200041300 is an apocalyptic number.

1321200041300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1321200041300 is an abundant number, since it is smaller than the sum of its proper divisors (1554311552200).

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

1321200041300 is a wasteful number, since it uses less digits than its factorization.

1321200041300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39205100 (or 39205093 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 17.

Adding to 1321200041300 its reverse (31400021231), we get a palindrome (1352600062531).

The spelling of 1321200041300 in words is "one trillion, three hundred twenty-one billion, two hundred million, forty-one thousand, three hundred".

Divisors: 1 2 4 5 10 20 25 50 100 337 674 1348 1685 3370 6740 8425 16850 33700 39204749 78409498 156818996 196023745 392047490 784094980 980118725 1960237450 3920474900 13212000413 26424000826 52848001652 66060002065 132120004130 264240008260 330300010325 660600020650 1321200041300