Search a number
-
+
100131020030 = 2523446397547
BaseRepresentation
bin101110101000001000…
…1100001110011111110
3100120110022011211221102
41131100101201303332
53120032020120110
6113555523133102
710143224425046
oct1352021416376
9316408154842
10100131020030
1139513394418
12174a5814192
1395999c45a2
144bbc608726
1529109ba5a5
hex1750461cfe

100131020030 has 32 divisors (see below), whose sum is σ = 188116245504. Its totient is φ = 38302022176.

The previous prime is 100131019981. The next prime is 100131020107. The reversal of 100131020030 is 30020131001.

It is a super-2 number, since 2×1001310200302 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 100131019993 and 100131020020.

It is a congruent number.

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, 977717 + ... + 1075263.

It is an arithmetic number, because the mean of its divisors is an integer number (5878632672).

Almost surely, 2100131020030 is an apocalyptic number.

100131020030 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

100131020030 is a deficient number, since it is larger than the sum of its proper divisors (87985225474).

100131020030 is a wasteful number, since it uses less digits than its factorization.

100131020030 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102040.

The product of its (nonzero) digits is 18, while the sum is 11.

Adding to 100131020030 its reverse (30020131001), we get a palindrome (130151151031).

The spelling of 100131020030 in words is "one hundred billion, one hundred thirty-one million, twenty thousand, thirty".

Divisors: 1 2 5 10 23 46 115 230 4463 8926 22315 44630 97547 102649 195094 205298 487735 513245 975470 1026490 2243581 4487162 11217905 22435810 435352261 870704522 2176761305 4353522610 10013102003 20026204006 50065510015 100131020030