Search a number
-
+
103314221400 = 233521319697127
BaseRepresentation
bin110000000111000000…
…0011110100101011000
3100212200010221020022110
41200032000132211120
53143041420041100
6115243434152320
710315136251365
oct1401600364530
9325603836273
10103314221400
113a8a7203755
12180338826a0
139986330bb0
14500129d46c
152a4a19b250
hex180e01e958

103314221400 has 192 divisors, whose sum is σ = 363064262400. Its totient is φ = 24092674560.

The previous prime is 103314221399. The next prime is 103314221401. The reversal of 103314221400 is 4122413301.

It is an interprime number because it is at equal distance from previous prime (103314221399) and next prime (103314221401).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103314221401) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 200364 + ... + 496763.

It is an arithmetic number, because the mean of its divisors is an integer number (1890959700).

Almost surely, 2103314221400 is an apocalyptic number.

103314221400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

103314221400 is an abundant number, since it is smaller than the sum of its proper divisors (259750041000).

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

103314221400 is a wasteful number, since it uses less digits than its factorization.

103314221400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 697178 (or 697169 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

Adding to 103314221400 its reverse (4122413301), we get a palindrome (107436634701).

The spelling of 103314221400 in words is "one hundred three billion, three hundred fourteen million, two hundred twenty-one thousand, four hundred".