Search a number
-
+
1032310002100 = 225213794084617
BaseRepresentation
bin11110000010110100111…
…10001001000110110100
310122200120110101121000111
433001122132021012310
5113403132330031400
62110123041552404
7134403414144616
oct17013236110664
93580513347014
101032310002100
113688890a1773
1214809a645704
13764670c8590
1437d6d5a4db6
151bcbd08a3ba
hexf05a7891b4

1032310002100 has 36 divisors (see below), whose sum is σ = 2412429069484. Its totient is φ = 381160615680.

The previous prime is 1032310002083. The next prime is 1032310002109. The reversal of 1032310002100 is 12000132301.

It can be written as a sum of positive squares in 6 ways, for example, as 40955235876 + 991354766224 = 202374^2 + 995668^2 .

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1032310002109) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 397041009 + ... + 397043608.

Almost surely, 21032310002100 is an apocalyptic number.

1032310002100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1032310002100 is an abundant number, since it is smaller than the sum of its proper divisors (1380119067384).

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

1032310002100 is a wasteful number, since it uses less digits than its factorization.

1032310002100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 794084644 (or 794084637 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 13.

Adding to 1032310002100 its reverse (12000132301), we get a palindrome (1044310134401).

The spelling of 1032310002100 in words is "one trillion, thirty-two billion, three hundred ten million, two thousand, one hundred".

Divisors: 1 2 4 5 10 13 20 25 26 50 52 65 100 130 260 325 650 1300 794084617 1588169234 3176338468 3970423085 7940846170 10323100021 15881692340 19852115425 20646200042 39704230850 41292400084 51615500105 79408461700 103231000210 206462000420 258077500525 516155001050 1032310002100