Search a number
-
+
100030103100 = 2232522937103583
BaseRepresentation
bin101110100101001000…
…0100011111000111100
3100120012021021201221100
41131022100203320330
53114330201244400
6113541520133100
710140560563434
oct1351220437074
9316167251840
10100030103100
1139471426aa4
1217477a67190
139581b1c625
144bad0592c4
152906bd4100
hex174a423e3c

100030103100 has 216 divisors, whose sum is σ = 333119928960. Its totient is φ = 25058557440.

The previous prime is 100030103099. The next prime is 100030103179. The reversal of 100030103100 is 1301030001.

It is a super-2 number, since 2×1000301031002 (a number of 23 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 913909 + ... + 1017491.

Almost surely, 2100030103100 is an apocalyptic number.

100030103100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100030103100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166559964480).

100030103100 is an abundant number, since it is smaller than the sum of its proper divisors (233089825860).

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

100030103100 is a wasteful number, since it uses less digits than its factorization.

100030103100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 103669 (or 103659 counting only the distinct ones).

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

Adding to 100030103100 its reverse (1301030001), we get a palindrome (101331133101).

The spelling of 100030103100 in words is "one hundred billion, thirty million, one hundred three thousand, one hundred".