Search a number
-
+
30012032100 = 22352139719713
BaseRepresentation
bin11011111100110110…
…110100010001100100
32212110120221012022110
4123330312310101210
5442431040011400
621442022001020
72111504030601
oct337466642144
985416835273
1030012032100
1111801011a16
125996b76170
132aa3a1889b
141649c9b6a8
15ba9c03e50
hex6fcdb4464

30012032100 has 72 divisors (see below), whose sum is σ = 87459645280. Its totient is φ = 7945620480.

The previous prime is 30012032093. The next prime is 30012032107. The reversal of 30012032100 is 123021003.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (30012032093) and next prime (30012032107).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is not an unprimeable number, because it can be changed into a prime (30012032107) 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 23 ways as a sum of consecutive naturals, for example, 318157 + ... + 401556.

Almost surely, 230012032100 is an apocalyptic number.

30012032100 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

30012032100 is an abundant number, since it is smaller than the sum of its proper divisors (57447613180).

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

30012032100 is a wasteful number, since it uses less digits than its factorization.

30012032100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 719869 (or 719862 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

Adding to 30012032100 its reverse (123021003), we get a palindrome (30135053103).

The spelling of 30012032100 in words is "thirty billion, twelve million, thirty-two thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 139 150 278 300 417 556 695 834 1390 1668 2085 2780 3475 4170 6950 8340 10425 13900 20850 41700 719713 1439426 2159139 2878852 3598565 4318278 7197130 8636556 10795695 14394260 17992825 21591390 35985650 43182780 53978475 71971300 100040107 107956950 200080214 215913900 300120321 400160428 500200535 600240642 1000401070 1200481284 1500601605 2000802140 2501002675 3001203210 5002005350 6002406420 7503008025 10004010700 15006016050 30012032100