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213146450430 = 2357104881681
BaseRepresentation
bin1100011010000010000…
…1001011100111111110
3202101011112122120011220
43012200201023213332
511443010442403210
6241530152054210
721253652635554
oct3064041134776
9671145576156
10213146450430
1182438683a71
1235386394366
131713ab49224
14a46008dbd4
1558276a3c70
hex31a084b9fe

213146450430 has 16 divisors (see below), whose sum is σ = 511551481104. Its totient is φ = 56839053440.

The previous prime is 213146450311. The next prime is 213146450431. The reversal of 213146450430 is 34054641312.

It is a happy number.

213146450430 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 213146450391 and 213146450400.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (213146450431) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 3552440811 + ... + 3552440870.

It is an arithmetic number, because the mean of its divisors is an integer number (31971967569).

Almost surely, 2213146450430 is an apocalyptic number.

213146450430 is an abundant number, since it is smaller than the sum of its proper divisors (298405030674).

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

213146450430 is a wasteful number, since it uses less digits than its factorization.

213146450430 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7104881691.

The product of its (nonzero) digits is 34560, while the sum is 33.

The spelling of 213146450430 in words is "two hundred thirteen billion, one hundred forty-six million, four hundred fifty thousand, four hundred thirty".

Divisors: 1 2 3 5 6 10 15 30 7104881681 14209763362 21314645043 35524408405 42629290086 71048816810 106573225215 213146450430