Search a number
-
+
2141132222034 = 2321367713515713
BaseRepresentation
bin11111001010000101011…
…011001110111001010010
321120200122012000120100200
4133022011123032321102
5240040014322101114
64315342250200030
7310456152412161
oct37120533167122
97520565016320
102141132222034
1175605a358113
122a6b70a23016
13126ba5879520
14758ba6073d8
153aa682ec409
hex1f2856cee52

2141132222034 has 48 divisors (see below), whose sum is σ = 5003355134232. Its totient is φ = 657836734464.

The previous prime is 2141132222017. The next prime is 2141132222051. The reversal of 2141132222034 is 4302222311412.

2141132222034 is a `hidden beast` number, since 2 + 1 + 411 + 3 + 22 + 220 + 3 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (2141132222017) and next prime (2141132222051).

It can be written as a sum of positive squares in 4 ways, for example, as 2098722997809 + 42409224225 = 1448697^2 + 205935^2 .

It is a junction number, because it is equal to n+sod(n) for n = 2141132221989 and 2141132222007.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6599439 + ... + 6916274.

Almost surely, 22141132222034 is an apocalyptic number.

2141132222034 is an abundant number, since it is smaller than the sum of its proper divisors (2862222912198).

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

2141132222034 is a wasteful number, since it uses less digits than its factorization.

2141132222034 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13516411 (or 13516408 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 2141132222034 its reverse (4302222311412), we get a palindrome (6443354533446).

The spelling of 2141132222034 in words is "two trillion, one hundred forty-one billion, one hundred thirty-two million, two hundred twenty-two thousand, thirty-four".

Divisors: 1 2 3 6 9 13 18 26 39 78 117 234 677 1354 2031 4062 6093 8801 12186 17602 26403 52806 79209 158418 13515713 27031426 40547139 81094278 121641417 175704269 243282834 351408538 527112807 1054225614 1581338421 3162676842 9150137701 18300275402 27450413103 54900826206 82351239309 118951790113 164702478618 237903580226 356855370339 713710740678 1070566111017 2141132222034