Search a number
-
+
103213310100 = 22352344044367
BaseRepresentation
bin110000000011111111…
…1100010000010010100
3100212102010001102000220
41200013333202002110
53142340101410400
6115225431234340
710312502442345
oct1400777420224
9325363042026
10103213310100
113a85524a58a
1218005b189b0
13996b45b674
144dd1b120cc
152a413b67a0
hex1807fe2094

103213310100 has 36 divisors (see below), whose sum is σ = 298630511424. Its totient is φ = 27523549280.

The previous prime is 103213310099. The next prime is 103213310107. The reversal of 103213310100 is 1013312301.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 103213310100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103213310107) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 172021884 + ... + 172022483.

It is an arithmetic number, because the mean of its divisors is an integer number (8295291984).

Almost surely, 2103213310100 is an apocalyptic number.

103213310100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

103213310100 is an abundant number, since it is smaller than the sum of its proper divisors (195417201324).

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

103213310100 is a wasteful number, since it uses less digits than its factorization.

103213310100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 344044384 (or 344044377 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 15.

Adding to 103213310100 its reverse (1013312301), we get a palindrome (104226622401).

The spelling of 103213310100 in words is "one hundred three billion, two hundred thirteen million, three hundred ten thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 150 300 344044367 688088734 1032133101 1376177468 1720221835 2064266202 3440443670 4128532404 5160665505 6880887340 8601109175 10321331010 17202218350 20642662020 25803327525 34404436700 51606655050 103213310100