Search a number
-
+
107047130112 = 2103213893489
BaseRepresentation
bin110001110110010000…
…0011001010000000000
3101020022022001122101200
41203230200121100000
53223213031130422
6121102103301200
710506504410226
oct1435440312000
9336268048350
10107047130112
114144235027a
12188b5a4a800
13a12c807710
145276d68b16
152bb7c632ac
hex18ec819400

107047130112 has 132 divisors (see below), whose sum is σ = 332873273460. Its totient is φ = 32937541632.

The previous prime is 107047130107. The next prime is 107047130147. The reversal of 107047130112 is 211031740701.

107047130112 is a `hidden beast` number, since 10 + 70 + 471 + 3 + 0 + 112 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 49861103616 + 57186026496 = 223296^2 + 239136^2 .

It is a super-2 number, since 2×1070471301122 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 326937 + ... + 566552.

Almost surely, 2107047130112 is an apocalyptic number.

107047130112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

107047130112 is an abundant number, since it is smaller than the sum of its proper divisors (225826143348).

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

107047130112 is a wasteful number, since it uses less digits than its factorization.

107047130112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 893528 (or 893507 counting only the distinct ones).

The product of its (nonzero) digits is 1176, while the sum is 27.

Adding to 107047130112 its reverse (211031740701), we get a palindrome (318078870813).

The spelling of 107047130112 in words is "one hundred seven billion, forty-seven million, one hundred thirty thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 32 36 39 48 52 64 72 78 96 104 117 128 144 156 192 208 234 256 288 312 384 416 468 512 576 624 768 832 936 1024 1152 1248 1536 1664 1872 2304 2496 3072 3328 3744 4608 4992 6656 7488 9216 9984 13312 14976 19968 29952 39936 59904 119808 893489 1786978 2680467 3573956 5360934 7147912 8041401 10721868 11615357 14295824 16082802 21443736 23230714 28591648 32165604 34846071 42887472 46461428 57183296 64331208 69692142 85774944 92922856 104538213 114366592 128662416 139384284 171549888 185845712 209076426 228733184 257324832 278768568 343099776 371691424 418152852 457466368 514649664 557537136 686199552 743382848 836305704 914932736 1029299328 1115074272 1372399104 1486765696 1672611408 2058598656 2230148544 2744798208 2973531392 3345222816 4117197312 4460297088 5947062784 6690445632 8234394624 8920594176 11894125568 13380891264 17841188352 26761782528 35682376704 53523565056 107047130112