Search a number
-
+
31431122331021 = 3274143128233077
BaseRepresentation
bin1110010010110001000001…
…11000011010010110001101
311010021210012221211210001200
413021120200320122112031
513104431414304043041
6150503131441300113
76422552340446220
oct711304070322615
9133253187753050
1031431122331021
11a01895616a276
12363768b334639
13146cc32aaa2ba
147a93bb0b35b7
153978e035a1b6
hex1c9620e1a58d

31431122331021 has 48 divisors (see below), whose sum is σ = 53275140592128. Its totient is φ = 17481920659200.

The previous prime is 31431122331017. The next prime is 31431122331023. The reversal of 31431122331021 is 12013322113413.

31431122331021 is a `hidden beast` number, since 3 + 1 + 431 + 1 + 223 + 3 + 1 + 0 + 2 + 1 = 666.

It is not a de Polignac number, because 31431122331021 - 22 = 31431122331017 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31431122331023) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 13003266 + ... + 15229811.

It is an arithmetic number, because the mean of its divisors is an integer number (1109898762336).

Almost surely, 231431122331021 is an apocalyptic number.

It is an amenable number.

31431122331021 is a deficient number, since it is larger than the sum of its proper divisors (21844018261107).

31431122331021 is a wasteful number, since it uses less digits than its factorization.

31431122331021 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28233562 (or 28233559 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

Adding to 31431122331021 its reverse (12013322113413), we get a palindrome (43444444444434).

The spelling of 31431122331021 in words is "thirty-one trillion, four hundred thirty-one billion, one hundred twenty-two million, three hundred thirty-one thousand, twenty-one".

Divisors: 1 3 7 9 21 41 63 123 287 369 431 861 1293 2583 3017 3879 9051 17671 27153 53013 123697 159039 371091 1113273 28233077 84699231 197631539 254097693 592894617 1157556157 1778683851 3472668471 8102893099 10418005413 12168456187 24308679297 36505368561 72926037891 85179193309 109516105683 255537579927 498906703667 766612739781 1496720111001 3492346925669 4490160333003 10477040777007 31431122331021