Search a number
-
+
100003110210 = 232519713072683
BaseRepresentation
bin101110100100010100…
…1100101110101000010
3100120010101111100122200
41131020221211311002
53114301244011320
6113535113414030
710140112261113
oct1351051456502
9316111440580
10100003110210
113945816a923
121746aa0a316
13957935b2c3
144ba963020a
152904651290
hex1748a65d42

100003110210 has 192 divisors, whose sum is σ = 278555397120. Its totient is φ = 24817726080.

The previous prime is 100003110143. The next prime is 100003110241. The reversal of 100003110210 is 12011300001.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 100003110192 and 100003110201.

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 95 ways as a sum of consecutive naturals, for example, 37271529 + ... + 37274211.

It is an arithmetic number, because the mean of its divisors is an integer number (1450809360).

Almost surely, 2100003110210 is an apocalyptic number.

100003110210 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 100003110210, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139277698560).

100003110210 is an abundant number, since it is smaller than the sum of its proper divisors (178552286910).

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

100003110210 is a wasteful number, since it uses less digits than its factorization.

100003110210 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3093 (or 3090 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 9.

Adding to 100003110210 its reverse (12011300001), we get a palindrome (112014410211).

The spelling of 100003110210 in words is "one hundred billion, three million, one hundred ten thousand, two hundred ten".