Search a number
-
+
104104030212 = 2232713283112289
BaseRepresentation
bin110000011110100010…
…1010111000000000100
3100221201012002200022200
41200331011113000010
53201201112431322
6115454050354500
710343536441110
oct1407505270004
9327635080280
10104104030212
1140172013806
121821428ba30
139a80b561a0
145078134740
152a946ad8ac
hex183d157004

104104030212 has 144 divisors (see below), whose sum is σ = 325026549120. Its totient is φ = 27358746624.

The previous prime is 104104030193. The next prime is 104104030241. The reversal of 104104030212 is 212030401401.

104104030212 is a `hidden beast` number, since 1 + 0 + 410 + 40 + 3 + 0 + 212 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 870964 + ... + 983252.

Almost surely, 2104104030212 is an apocalyptic number.

104104030212 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 104104030212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162513274560).

104104030212 is an abundant number, since it is smaller than the sum of its proper divisors (220922518908).

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

104104030212 is a wasteful number, since it uses less digits than its factorization.

104104030212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 112602 (or 112597 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 104104030212 its reverse (212030401401), we get a palindrome (316134431613).

The spelling of 104104030212 in words is "one hundred four billion, one hundred four million, thirty thousand, two hundred twelve".

Divisors: 1 2 3 4 6 7 9 12 13 14 18 21 26 28 36 39 42 52 63 78 84 91 117 126 156 182 234 252 273 283 364 468 546 566 819 849 1092 1132 1638 1698 1981 2547 3276 3396 3679 3962 5094 5943 7358 7924 10188 11037 11886 14716 17829 22074 23772 25753 33111 35658 44148 51506 66222 71316 77259 103012 112289 132444 154518 224578 231777 309036 336867 449156 463554 673734 786023 927108 1010601 1347468 1459757 1572046 2021202 2358069 2919514 3144092 4042404 4379271 4716138 5839028 7074207 8758542 9432276 10218299 13137813 14148414 17517084 20436598 26275626 28296828 30654897 31777787 40873196 52551252 61309794 63555574 91964691 95333361 122619588 127111148 183929382 190666722 222444509 286000083 367858764 381333444 413111231 444889018 572000166 667333527 826222462 889778036 1144000332 1239333693 1334667054 1652444924 2002000581 2478667386 2669334108 2891778617 3718001079 4004001162 4957334772 5783557234 7436002158 8008002324 8675335851 11567114468 14872004316 17350671702 26026007553 34701343404 52052015106 104104030212