Search a number
-
+
1020242422332 = 2232761435715233
BaseRepresentation
bin11101101100010110010…
…11111110101000111100
310121112102110010000122200
432312023023332220330
5113203424030003312
62100405355511500
7133465362334410
oct16661313765074
93545373100580
101020242422332
11363756282451
12145891158590
1375292c61a33
14375469d4d40
151b81391b0dc
hexed8b2fea3c

1020242422332 has 144 divisors (see below), whose sum is σ = 2996568748992. Its totient is φ = 286634557440.

The previous prime is 1020242422223. The next prime is 1020242422337. The reversal of 1020242422332 is 2332242420201.

1020242422332 is a `hidden beast` number, since 1 + 0 + 2 + 0 + 2 + 424 + 2 + 233 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 1020242422296 and 1020242422305.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1020242422337) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 66968188 + ... + 66983420.

Almost surely, 21020242422332 is an apocalyptic number.

1020242422332 is a gapful number since it is divisible by the number (12) 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 1020242422332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1498284374496).

1020242422332 is an abundant number, since it is smaller than the sum of its proper divisors (1976326326660).

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

1020242422332 is a wasteful number, since it uses less digits than its factorization.

1020242422332 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19668 (or 19663 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 27.

Adding to 1020242422332 its reverse (2332242420201), we get a palindrome (3352484842533).

The spelling of 1020242422332 in words is "one trillion, twenty billion, two hundred forty-two million, four hundred twenty-two thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 61 63 84 122 126 183 244 252 366 427 549 732 854 1098 1281 1708 2196 2562 3843 4357 5124 7686 8714 13071 15233 15372 17428 26142 30466 30499 39213 45699 52284 60932 60998 78426 91398 91497 106631 121996 137097 156852 182796 182994 213262 265777 274194 274491 319893 365988 426524 531554 548388 548982 639786 797331 929213 959679 1063108 1097964 1279572 1594662 1858426 1860439 1919358 2391993 2787639 3189324 3716852 3720878 3838716 4783986 5575278 5581317 6504491 7441756 8362917 9567972 11150556 11162634 13008982 16725834 16743951 19513473 22325268 26017964 33451668 33487902 39026946 58540419 66370181 66975804 78053892 117080838 132740362 199110543 234161676 265480724 398221086 464591267 597331629 796442172 929182534 1194663258 1393773801 1858365068 2389326516 2787547602 4048581041 4181321403 5575095204 8097162082 8362642806 12145743123 16194324164 16725285612 24291486246 28340067287 36437229369 48582972492 56680134574 72874458738 85020201861 113360269148 145748917476 170040403722 255060605583 340080807444 510121211166 1020242422332