Search a number
-
+
1003132331010 = 232513185083319
BaseRepresentation
bin11101001100011110101…
…10001010010000000010
310112220021000110022211200
432212033112022100002
5112413403334043020
62044455503122030
7132321361061265
oct16461726122002
93486230408750
101003132331010
1135747605a607
121424b6ba3316
1373797203844
14367a2458cdc
151b161749590
hexe98f58a402

1003132331010 has 48 divisors (see below), whose sum is σ = 2628053588160. Its totient is φ = 265459952160.

The previous prime is 1003132330997. The next prime is 1003132331059. The reversal of 1003132331010 is 101332313001.

It is a happy number.

1003132331010 is a `hidden beast` number, since 1 + 0 + 0 + 31 + 323 + 310 + 1 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a Curzon number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 42529870 + ... + 42553449.

It is an arithmetic number, because the mean of its divisors is an integer number (54751116420).

Almost surely, 21003132331010 is an apocalyptic number.

1003132331010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1003132331010 is an abundant number, since it is smaller than the sum of its proper divisors (1624921257150).

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

1003132331010 is a wasteful number, since it uses less digits than its factorization.

1003132331010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85083463 (or 85083460 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

Adding to 1003132331010 its reverse (101332313001), we get a palindrome (1104464644011).

The spelling of 1003132331010 in words is "one trillion, three billion, one hundred thirty-two million, three hundred thirty-one thousand, ten".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 131 262 393 655 786 1179 1310 1965 2358 3930 5895 11790 85083319 170166638 255249957 425416595 510499914 765749871 850833190 1276249785 1531499742 2552499570 3828749355 7657498710 11145914789 22291829578 33437744367 55729573945 66875488734 100313233101 111459147890 167188721835 200626466202 334377443670 501566165505 1003132331010