Search a number
-
+
100320030306 = 23314912468311
BaseRepresentation
bin101110101101110001…
…0100010111001100010
3100120221110211120022000
41131123202202321202
53120423411432211
6114030354224430
710151011121316
oct1353342427142
9316843746260
10100320030306
1139600050661
1217538b85116
1395c9c016a2
144bd9769b46
1529223a3656
hex175b8a2e62

100320030306 has 32 divisors (see below), whose sum is σ = 224429616000. Its totient is φ = 33215577840.

The previous prime is 100320030299. The next prime is 100320030313. The reversal of 100320030306 is 603030023001.

It is a happy number.

100320030306 is a `hidden beast` number, since 10 + 0 + 320 + 0 + 30 + 306 = 666.

It is an interprime number because it is at equal distance from previous prime (100320030299) and next prime (100320030313).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6226110 + ... + 6242201.

It is an arithmetic number, because the mean of its divisors is an integer number (7013425500).

Almost surely, 2100320030306 is an apocalyptic number.

100320030306 is an abundant number, since it is smaller than the sum of its proper divisors (124109585694).

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

100320030306 is a wasteful number, since it uses less digits than its factorization.

100320030306 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12468471 (or 12468465 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

Adding to 100320030306 its reverse (603030023001), we get a palindrome (703350053307).

The spelling of 100320030306 in words is "one hundred billion, three hundred twenty million, thirty thousand, three hundred six".

Divisors: 1 2 3 6 9 18 27 54 149 298 447 894 1341 2682 4023 8046 12468311 24936622 37404933 74809866 112214799 224429598 336644397 673288794 1857778339 3715556678 5573335017 11146670034 16720005051 33440010102 50160015153 100320030306