Search a number
-
+
30504350100 = 22352714525881
BaseRepresentation
bin11100011010001100…
…110111000110010100
32220201220022112122110
4130122030313012110
5444433103200400
622002530031020
72126632461210
oct343214670624
986656275573
1030504350100
1111a33a017a4
125ab3a18470
132b51a11203
141695413940
15bd8050e50
hex71a337194

30504350100 has 72 divisors (see below), whose sum is σ = 100867724608. Its totient is φ = 6972422400.

The previous prime is 30504350087. The next prime is 30504350141. The reversal of 30504350100 is 105340503.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7260841 + ... + 7265040.

Almost surely, 230504350100 is an apocalyptic number.

30504350100 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

30504350100 is an abundant number, since it is smaller than the sum of its proper divisors (70363374508).

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

30504350100 is a wasteful number, since it uses less digits than its factorization.

30504350100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14525905 (or 14525898 counting only the distinct ones).

The product of its (nonzero) digits is 900, while the sum is 21.

Adding to 30504350100 its reverse (105340503), we get a palindrome (30609690603).

The spelling of 30504350100 in words is "thirty billion, five hundred four million, three hundred fifty thousand, one hundred".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 25 28 30 35 42 50 60 70 75 84 100 105 140 150 175 210 300 350 420 525 700 1050 2100 14525881 29051762 43577643 58103524 72629405 87155286 101681167 145258810 174310572 203362334 217888215 290517620 305043501 363147025 406724668 435776430 508405835 610087002 726294050 871552860 1016811670 1089441075 1220174004 1452588100 1525217505 2033623340 2178882150 2542029175 3050435010 4357764300 5084058350 6100870020 7626087525 10168116700 15252175050 30504350100