Search a number
-
+
31413020121 = 3271729330551
BaseRepresentation
bin11101010000010111…
…001010010111011001
310000002020010202120200
4131100113022113121
51003313213120441
622233030012413
72161305160020
oct352027122731
9100066122520
1031413020121
111235a915a5a
1261081a7109
132c68051c92
14173dd898b7
15c3cbe17b6
hex7505ca5d9

31413020121 has 24 divisors (see below), whose sum is σ = 54906793344. Its totient is φ = 16894396800.

The previous prime is 31413020069. The next prime is 31413020137. The reversal of 31413020121 is 12102031413.

31413020121 is a `hidden beast` number, since 31 + 413 + 0 + 201 + 21 = 666.

It is not a de Polignac number, because 31413020121 - 230 = 30339278297 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 31413020094 and 31413020103.

It is not an unprimeable number, because it can be changed into a prime (31413020021) 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, 14664205 + ... + 14666346.

It is an arithmetic number, because the mean of its divisors is an integer number (2287783056).

Almost surely, 231413020121 is an apocalyptic number.

It is an amenable number.

31413020121 is a deficient number, since it is larger than the sum of its proper divisors (23493773223).

31413020121 is a wasteful number, since it uses less digits than its factorization.

31413020121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29330581 (or 29330578 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 31413020121 its reverse (12102031413), we get a palindrome (43515051534).

The spelling of 31413020121 in words is "thirty-one billion, four hundred thirteen million, twenty thousand, one hundred twenty-one".

Divisors: 1 3 7 9 17 21 51 63 119 153 357 1071 29330551 87991653 205313857 263974959 498619367 615941571 1495858101 1847824713 3490335569 4487574303 10471006707 31413020121