Search a number
-
+
53131355150401 = 11219311814118809
BaseRepresentation
bin11000001010010100110111…
…00011001101100001000001
320222010022022111022120002101
430011022123203031201001
523431001003404303101
6305000112501350401
714122420340141323
oct1405123343154101
9228108274276071
1053131355150401
1115a2497693a500
125b61267408401
13238535ab02138
14d197dd965613
1562210619d401
hex30529b8cd841

53131355150401 has 48 divisors (see below), whose sum is σ = 63807945510400. Its totient is φ = 44038295136000.

The previous prime is 53131355150381. The next prime is 53131355150413. The reversal of 53131355150401 is 10405155313135.

It is not a de Polignac number, because 53131355150401 - 213 = 53131355142209 is a prime.

It is not an unprimeable number, because it can be changed into a prime (53131355150491) 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 47 ways as a sum of consecutive naturals, for example, 10840285 + ... + 14959093.

Almost surely, 253131355150401 is an apocalyptic number.

It is an amenable number.

53131355150401 is a deficient number, since it is larger than the sum of its proper divisors (10676590359999).

53131355150401 is a wasteful number, since it uses less digits than its factorization.

53131355150401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4119062 (or 4119051 counting only the distinct ones).

The product of its (nonzero) digits is 67500, while the sum is 37.

The spelling of 53131355150401 in words is "fifty-three trillion, one hundred thirty-one billion, three hundred fifty-five million, one hundred fifty thousand, four hundred one".

Divisors: 1 11 19 31 121 181 209 341 589 1991 2299 3439 3751 5611 6479 21901 37829 61721 71269 106609 416119 678931 1172699 4118809 12899689 45306899 78257371 127683079 498375889 745504429 860831081 1404513869 2425978501 8200548719 9469141891 14164584151 15449652559 23110637299 26685763511 90206035909 155810425661 254217010289 293543398621 439102108681 1713914682271 2796387113179 4830123195491 53131355150401