Search a number
-
+
10202001120052 = 2278919720781223
BaseRepresentation
bin1001010001110101011010…
…1001110001101100110100
31100010022010222222100222021
42110131112221301230310
52314122144241320202
633410422402042524
72102033045466460
oct224352651615464
940108128870867
1010202001120052
11328370a737345
121189271649444
13590076c247b1
14273acacbb4a0
1512a59ddeba37
hex94756a71b34

10202001120052 has 48 divisors (see below), whose sum is σ = 20737999054080. Its totient is φ = 4301214204672.

The previous prime is 10202001119983. The next prime is 10202001120053. The reversal of 10202001120052 is 25002110020201.

It is a happy number.

10202001120052 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10202001120053) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9899688 + ... + 10881535.

It is an arithmetic number, because the mean of its divisors is an integer number (432041646960).

Almost surely, 210202001120052 is an apocalyptic number.

It is an amenable number.

10202001120052 is an abundant number, since it is smaller than the sum of its proper divisors (10535997934028).

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

10202001120052 is a wasteful number, since it uses less digits than its factorization.

10202001120052 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20781520 (or 20781518 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 16.

Adding to 10202001120052 its reverse (25002110020201), we get a palindrome (35204111140253).

The spelling of 10202001120052 in words is "ten trillion, two hundred two billion, one million, one hundred twenty thousand, fifty-two".

Divisors: 1 2 4 7 14 28 89 178 197 356 394 623 788 1246 1379 2492 2758 5516 17533 35066 70132 122731 245462 490924 20781223 41562446 83124892 145468561 290937122 581874244 1849528847 3699057694 4093900931 7398115388 8187801862 12946701929 16375603724 25893403858 28657306517 51786807716 57314613034 114629226068 364357182859 728714365718 1457428731436 2550500280013 5101000560026 10202001120052