Search a number
-
+
1001003023100 = 225231322904201
BaseRepresentation
bin11101001000100000110…
…11011111101011111100
310112200202121210021111202
432210100123133223330
5112400023233214400
62043504320435032
7132214534210433
oct16442033375374
93480677707452
101001003023100
11356583124003
12142001a78a78
1373518023a32
143663d74011a
151b0898434d5
hexe9106dfafc

1001003023100 has 36 divisors (see below), whose sum is σ = 2242246778688. Its totient is φ = 387485040000.

The previous prime is 1001003023061. The next prime is 1001003023151. The reversal of 1001003023100 is 13203001001.

It is a super-2 number, since 2×10010030231002 (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 161449001 + ... + 161455200.

Almost surely, 21001003023100 is an apocalyptic number.

1001003023100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1001003023100 is an abundant number, since it is smaller than the sum of its proper divisors (1241243755588).

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

1001003023100 is a wasteful number, since it uses less digits than its factorization.

1001003023100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 322904246 (or 322904239 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 11.

Adding to 1001003023100 its reverse (13203001001), we get a palindrome (1014206024101).

The spelling of 1001003023100 in words is "one trillion, one billion, three million, twenty-three thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 31 50 62 100 124 155 310 620 775 1550 3100 322904201 645808402 1291616804 1614521005 3229042010 6458084020 8072605025 10010030231 16145210050 20020060462 32290420100 40040120924 50050151155 100100302310 200200604620 250250755775 500501511550 1001003023100