Search a number
-
+
101031505250 = 25313160119417
BaseRepresentation
bin101111000010111110…
…0100110110101100010
3100122210001121020102212
41132011330212311202
53123403031132000
6114225131442122
710204440424304
oct1360574466542
9318701536385
10101031505250
1139935718285
12176b72b6342
1396b142aa90
144c6604d974
152964a90c35
hex1785f26d62

101031505250 has 64 divisors (see below), whose sum is σ = 203817231072. Its totient is φ = 37278720000.

The previous prime is 101031505249. The next prime is 101031505259. The reversal of 101031505250 is 52505130101.

It is a happy number.

101031505250 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 16 ways, for example, as 15888350401 + 85143154849 = 126049^2 + 291793^2 .

It is not an unprimeable number, because it can be changed into a prime (101031505259) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5193542 + ... + 5212958.

Almost surely, 2101031505250 is an apocalyptic number.

101031505250 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

101031505250 is an abundant number, since it is smaller than the sum of its proper divisors (102785725822).

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

101031505250 is a wasteful number, since it uses less digits than its factorization.

101031505250 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21048 (or 21038 counting only the distinct ones).

The product of its (nonzero) digits is 750, while the sum is 23.

Adding to 101031505250 its reverse (52505130101), we get a palindrome (153536635351).

The spelling of 101031505250 in words is "one hundred one billion, thirty-one million, five hundred five thousand, two hundred fifty".

Divisors: 1 2 5 10 13 25 26 50 65 125 130 250 325 650 1601 1625 3202 3250 8005 16010 19417 20813 38834 40025 41626 80050 97085 104065 194170 200125 208130 252421 400250 485425 504842 520325 970850 1040650 1262105 2427125 2524210 2601625 4854250 5203250 6310525 12621050 31086617 31552625 62173234 63105250 155433085 310866170 404126021 777165425 808252042 1554330850 2020630105 3885827125 4041260210 7771654250 10103150525 20206301050 50515752625 101031505250