Search a number
-
+
83123333332138 = 21143683128650391
BaseRepresentation
bin10010111001100110101000…
…110000010111110010101010
3101220022111212000112201122101
4102321212220300113302222
541343343041313112023
6452442155425244014
723336314455316351
oct2271465060276252
9356274760481571
1083123333332138
1124538453710790
1293a5a3819360a
13374c65c32c358
1416752957a8998
15992366abc1ad
hex4b99a8c17caa

83123333332138 has 32 divisors (see below), whose sum is σ = 139387039114752. Its totient is φ = 36850617711600.

The previous prime is 83123333332133. The next prime is 83123333332159.

83123333332138 is nontrivially palindromic in base 10.

It is a super-3 number, since 3×831233333321383 (a number of 43 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (83123333332133) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 63679078 + ... + 64971313.

It is an arithmetic number, because the mean of its divisors is an integer number (4355844972336).

Almost surely, 283123333332138 is an apocalyptic number.

83123333332138 is a deficient number, since it is larger than the sum of its proper divisors (56263705782614).

83123333332138 is a wasteful number, since it uses less digits than its factorization.

83123333332138 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 128651130.

The product of its digits is 1679616, while the sum is 46.

The spelling of 83123333332138 in words is "eighty-three trillion, one hundred twenty-three billion, three hundred thirty-three million, three hundred thirty-two thousand, one hundred thirty-eight".

Divisors: 1 2 11 22 43 86 473 683 946 1366 7513 15026 29369 58738 323059 646118 128650391 257300782 1415154301 2830308602 5531966813 11063933626 60851634943 87868217053 121703269886 175736434106 966550387583 1933100775166 3778333333279 7556666666558 41561666666069 83123333332138