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1021365936240 = 243513327360877
BaseRepresentation
bin11101101110011100010…
…01110110000001110000
310121122022202012102222220
432313032021312001300
5113213224134424430
62101113052401040
7133535254133226
oct16671611660160
93548282172886
101021365936240
11364182498041
12145b45476180
1375411956370
1437611cd4b16
151b87c399110
hexedce276070

1021365936240 has 80 divisors (see below), whose sum is σ = 3409790905248. Its totient is φ = 251413152768.

The previous prime is 1021365936181. The next prime is 1021365936257. The reversal of 1021365936240 is 426395631201.

1021365936240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×10213659362402 (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1021365936192 and 1021365936201.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 163677319 + ... + 163683558.

Almost surely, 21021365936240 is an apocalyptic number.

1021365936240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1021365936240 is an abundant number, since it is smaller than the sum of its proper divisors (2388424969008).

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

1021365936240 is a wasteful number, since it uses less digits than its factorization.

1021365936240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 327360906 (or 327360900 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 42.

The spelling of 1021365936240 in words is "one trillion, twenty-one billion, three hundred sixty-five million, nine hundred thirty-six thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 16 20 24 26 30 39 40 48 52 60 65 78 80 104 120 130 156 195 208 240 260 312 390 520 624 780 1040 1560 3120 327360877 654721754 982082631 1309443508 1636804385 1964165262 2618887016 3273608770 3928330524 4255691401 4910413155 5237774032 6547217540 7856661048 8511382802 9820826310 12767074203 13094435080 15713322096 17022765604 19641652620 21278457005 25534148406 26188870160 34045531208 39283305240 42556914010 51068296812 63835371015 68091062416 78566610480 85113828020 102136593624 127670742030 170227656040 204273187248 255341484060 340455312080 510682968120 1021365936240