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1020253424124 = 22311291911395413
BaseRepresentation
bin11101101100010111101…
…01111100100111111100
310121112110012210222021110
432312023311330213330
5113203434334032444
62100410431402020
7133465555005534
oct16661365744774
93545405728243
101020253424124
11363761507240
12145894983310
137529531457c
143754825a4c4
151b814890cb9
hexed8bd7c9fc

1020253424124 has 96 divisors (see below), whose sum is σ = 2700628439040. Its totient is φ = 296943673600.

The previous prime is 1020253424123. The next prime is 1020253424129. The reversal of 1020253424124 is 4214243520201.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 1020253424091 and 1020253424100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1020253424123) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 33442 + ... + 1428854.

It is an arithmetic number, because the mean of its divisors is an integer number (28131546240).

Almost surely, 21020253424124 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1020253424124, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1350314219520).

1020253424124 is an abundant number, since it is smaller than the sum of its proper divisors (1680375014916).

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

1020253424124 is a wasteful number, since it uses less digits than its factorization.

1020253424124 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1395651 (or 1395649 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 30.

Adding to 1020253424124 its reverse (4214243520201), we get a palindrome (5234496944325).

The spelling of 1020253424124 in words is "one trillion, twenty billion, two hundred fifty-three million, four hundred twenty-four thousand, one hundred twenty-four".

Divisors: 1 2 3 4 6 11 12 22 29 33 44 58 66 87 116 132 174 191 319 348 382 573 638 764 957 1146 1276 1914 2101 2292 3828 4202 5539 6303 8404 11078 12606 16617 22156 25212 33234 60929 66468 121858 182787 243716 365574 731148 1395413 2790826 4186239 5581652 8372478 15349543 16744956 30699086 40466977 46048629 61398172 80933954 92097258 121400931 161867908 184194516 242801862 266523883 445136747 485603724 533047766 799571649 890273494 1066095532 1335410241 1599143298 1780546988 2670820482 2931762713 3198286596 5341640964 5863525426 7729192607 8795288139 11727050852 15458385214 17590576278 23187577821 30916770428 35181152556 46375155642 85021118677 92750311284 170042237354 255063356031 340084474708 510126712062 1020253424124