Search a number
-
+
1020200125340 = 22511101160728571
BaseRepresentation
bin11101101100010001010…
…10101000001110011100
310121112022111112010002102
432312020222220032130
5113203332213002330
62100401245144232
7133464336661514
oct16661052501634
93545274463072
101020200125340
11363734413060
1214587ab5b078
1375287272826
1437541144844
151b80ed63945
hexed88aa839c

1020200125340 has 96 divisors (see below), whose sum is σ = 2361877636608. Its totient is φ = 367067360000.

The previous prime is 1020200125337. The next prime is 1020200125349. The reversal of 1020200125340 is 435210020201.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1020200125349) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 35693255 + ... + 35721825.

It is an arithmetic number, because the mean of its divisors is an integer number (24602892048).

Almost surely, 21020200125340 is an apocalyptic number.

1020200125340 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 1020200125340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1180938818304).

1020200125340 is an abundant number, since it is smaller than the sum of its proper divisors (1341677511268).

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

1020200125340 is a wasteful number, since it uses less digits than its factorization.

1020200125340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30299 (or 30297 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 20.

Adding to 1020200125340 its reverse (435210020201), we get a palindrome (1455410145541).

The spelling of 1020200125340 in words is "one trillion, twenty billion, two hundred million, one hundred twenty-five thousand, three hundred forty".

Divisors: 1 2 4 5 10 11 20 22 44 55 101 110 202 220 404 505 1010 1111 1607 2020 2222 3214 4444 5555 6428 8035 11110 16070 17677 22220 28571 32140 35354 57142 70708 88385 114284 142855 162307 176770 285710 314281 324614 353540 571420 628562 649228 811535 1257124 1571405 1623070 1785377 2885671 3142810 3246140 3570754 5771342 6285620 7141508 8926885 11542684 14428355 17853770 28856710 31742381 35707540 45913597 57713420 63484762 91827194 126969524 158711905 183654388 229567985 317423810 459135970 505049567 634847620 918271940 1010099134 2020198268 2525247835 4637273297 5050495670 9274546594 10100991340 18549093188 23186366485 46372732970 51010006267 92745465940 102020012534 204040025068 255050031335 510100062670 1020200125340