Search a number
-
+
100233003420 = 2233511149911257
BaseRepresentation
bin101110101011001011…
…0100100000110011100
3100120201102002010212000
41131112112210012130
53120234122102140
6114014005042300
710145603320524
oct1352626440634
9316642063760
10100233003420
1139565a10010
12175139b6390
1395b4b80aa4
144bcbd94684
152919912a30
hex17565a419c

100233003420 has 192 divisors, whose sum is σ = 340441920000. Its totient is φ = 24280542720.

The previous prime is 100233003419. The next prime is 100233003443. The reversal of 100233003420 is 24300332001.

100233003420 is a `hidden beast` number, since 1 + 0 + 0 + 23 + 300 + 342 + 0 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 100233003393 and 100233003402.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 8898432 + ... + 8909688.

It is an arithmetic number, because the mean of its divisors is an integer number (1773135000).

Almost surely, 2100233003420 is an apocalyptic number.

100233003420 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 100233003420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170220960000).

100233003420 is an abundant number, since it is smaller than the sum of its proper divisors (240208916580).

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

100233003420 is a wasteful number, since it uses less digits than its factorization.

100233003420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12785 (or 12777 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

Adding to 100233003420 its reverse (24300332001), we get a palindrome (124533335421).

The spelling of 100233003420 in words is "one hundred billion, two hundred thirty-three million, three thousand, four hundred twenty".