Search a number
-
+
1022012330120 = 235173063749057
BaseRepresentation
bin11101101111101001010…
…11101001000010001000
310121200222210111122200222
432313310223221002020
5113221040124030440
62101301143045212
7133560263320415
oct16676453510210
93550883448628
101022012330120
11364484353361
121460a5a40808
13754b5846b52
1437673ab710c
151b8b8ecd2b5
hexedf4ae9088

1022012330120 has 64 divisors (see below), whose sum is σ = 2434923186480. Its totient is φ = 384737181696.

The previous prime is 1022012330117. The next prime is 1022012330161. The reversal of 1022012330120 is 210332102201.

1022012330120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 956949584644 + 65062745476 = 978238^2 + 255074^2 .

It is a Harshad number since it is a multiple of its sum of digits (17).

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, 20808632 + ... + 20857688.

Almost surely, 21022012330120 is an apocalyptic number.

1022012330120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1022012330120 is an abundant number, since it is smaller than the sum of its proper divisors (1412910856360).

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

1022012330120 is a wasteful number, since it uses less digits than its factorization.

1022012330120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 79722 (or 79718 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 17.

Adding to 1022012330120 its reverse (210332102201), we get a palindrome (1232344432321).

The spelling of 1022012330120 in words is "one trillion, twenty-two billion, twelve million, three hundred thirty thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 17 20 34 40 68 85 136 170 340 680 30637 49057 61274 98114 122548 153185 196228 245096 245285 306370 392456 490570 520829 612740 833969 981140 1041658 1225480 1667938 1962280 2083316 2604145 3335876 4166632 4169845 5208290 6671752 8339690 10416580 16679380 20833160 33358760 1502959309 3005918618 6011837236 7514796545 12023674472 15029593090 25550308253 30059186180 51100616506 60118372360 102201233012 127751541265 204402466024 255503082530 511006165060 1022012330120