Search a number
-
+
10150531625133 = 325774220946309
BaseRepresentation
bin1001001110110101101011…
…0101001111000010101101
31022221101022000001010021200
42103231122311033002231
52312301242044001013
633331031224120113
72065231431140124
oct223553265170255
938841260033250
1010150531625133
1132638a8529a89
12117b2a8606039
135882638b3663
14271407348abb
1512908a535e73
hex93b5ad4f0ad

10150531625133 has 24 divisors (see below), whose sum is σ = 14687954681400. Its totient is φ = 6754987229184.

The previous prime is 10150531625093. The next prime is 10150531625173. The reversal of 10150531625133 is 33152613505101.

10150531625133 is a `hidden beast` number, since 1 + 0 + 1 + 50 + 5 + 31 + 62 + 513 + 3 = 666.

It is an interprime number because it is at equal distance from previous prime (10150531625093) and next prime (10150531625173).

It can be written as a sum of positive squares in 4 ways, for example, as 7880046208164 + 2270485416969 = 2807142^2 + 1506813^2 .

It is not a de Polignac number, because 10150531625133 - 210 = 10150531624109 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10150531625173) 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, 219168183 + ... + 219214491.

It is an arithmetic number, because the mean of its divisors is an integer number (611998111725).

Almost surely, 210150531625133 is an apocalyptic number.

It is an amenable number.

10150531625133 is a deficient number, since it is larger than the sum of its proper divisors (4537423056267).

10150531625133 is a wasteful number, since it uses less digits than its factorization.

10150531625133 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 89101 (or 89098 counting only the distinct ones).

The product of its (nonzero) digits is 40500, while the sum is 36.

The spelling of 10150531625133 in words is "ten trillion, one hundred fifty billion, five hundred thirty-one million, six hundred twenty-five thousand, one hundred thirty-three".

Divisors: 1 3 9 577 1731 5193 42209 46309 126627 138927 379881 416781 24354593 26720293 73063779 80160879 219191337 240482637 1954656581 5863969743 17591909229 1127836847237 3383510541711 10150531625133