Search a number
-
+
30412334432100 = 223521011003707407
BaseRepresentation
bin1101110101000111011000…
…11000111111111101100100
310222200101112212200012102110
412322203230120333331210
512441233430103311400
6144403122241041020
76256134666261525
oct672435430777544
9128611485605373
1030412334432100
119765886a36895
1234b2145326170
1313c7b422a730a
14771d7174484c
1537b1644a3e50
hex1ba8ec63ff64

30412334432100 has 72 divisors (see below), whose sum is σ = 88864239074688. Its totient is φ = 8029659248000.

The previous prime is 30412334432071. The next prime is 30412334432101. The reversal of 30412334432100 is 123443321403.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (30412334432101) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 501823404 + ... + 501884003.

It is an arithmetic number, because the mean of its divisors is an integer number (1234225542704).

Almost surely, 230412334432100 is an apocalyptic number.

30412334432100 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

30412334432100 is an abundant number, since it is smaller than the sum of its proper divisors (58451904642588).

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

30412334432100 is a wasteful number, since it uses less digits than its factorization.

30412334432100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1003707525 (or 1003707518 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 30.

Adding to 30412334432100 its reverse (123443321403), we get a palindrome (30535777753503).

The spelling of 30412334432100 in words is "thirty trillion, four hundred twelve billion, three hundred thirty-four million, four hundred thirty-two thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 101 150 202 300 303 404 505 606 1010 1212 1515 2020 2525 3030 5050 6060 7575 10100 15150 30300 1003707407 2007414814 3011122221 4014829628 5018537035 6022244442 10037074070 12044488884 15055611105 20074148140 25092685175 30111222210 50185370350 60222444420 75278055525 100370740700 101374448107 150556111050 202748896214 301112222100 304123344321 405497792428 506872240535 608246688642 1013744481070 1216493377284 1520616721605 2027488962140 2534361202675 3041233443210 5068722405350 6082466886420 7603083608025 10137444810700 15206167216050 30412334432100