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112341134301 = 3111937107167271
BaseRepresentation
bin110100010100000001…
…1011010101111011101
3101201222020122220212220
41220220003122233131
53320033312244201
6123335300215553
711054626612614
oct1505003325735
9351866586786
10112341134301
1143709706a50
121993299a5b9
13a794544c86
14561a0bc87b
152dc78e2036
hex1a280dabdd

112341134301 has 128 divisors (see below), whose sum is σ = 180034928640. Its totient is φ = 61571923200.

The previous prime is 112341134291. The next prime is 112341134309. The reversal of 112341134301 is 103431143211.

It is a happy number.

It is not a de Polignac number, because 112341134301 - 29 = 112341133789 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112341134309) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 414542796 + ... + 414543066.

It is an arithmetic number, because the mean of its divisors is an integer number (1406522880).

Almost surely, 2112341134301 is an apocalyptic number.

112341134301 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

112341134301 is a deficient number, since it is larger than the sum of its proper divisors (67693794339).

112341134301 is a wasteful number, since it uses less digits than its factorization.

112341134301 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 615.

The product of its (nonzero) digits is 864, while the sum is 24.

Adding to 112341134301 its reverse (103431143211), we get a palindrome (215772277512).

It can be divided in two parts, 112341 and 134301, that added together give a palindrome (246642).

The spelling of 112341134301 in words is "one hundred twelve billion, three hundred forty-one million, one hundred thirty-four thousand, three hundred one".

Divisors: 1 3 11 19 33 37 57 107 111 167 209 271 321 407 501 627 703 813 1177 1221 1837 2033 2109 2981 3173 3531 3959 5149 5511 6099 6179 7733 8943 9519 10027 11877 15447 17869 18537 22363 23199 28997 30081 34903 43549 45257 53607 56639 67089 67969 75221 86991 104709 110297 117401 130647 135771 169917 190513 196559 203907 225663 318967 330891 339511 352203 497827 550943 571539 589677 661153 827431 859883 956901 1018533 1072889 1291411 1493481 1652829 1674509 1983459 2095643 2482293 2579649 3218667 3734621 3874233 4842499 5023527 6060373 6286929 7272683 9458713 11203863 11801779 12561907 14527497 18181119 18419599 20384891 21818049 28376139 31815671 35405337 37685721 53267489 55258797 61154673 92007481 95447013 138180977 159802467 179172463 224233801 276022443 349972381 414542931 537517389 672701403 1012082291 1049917143 1970897093 3036246873 3404276797 5912691279 10212830391 37447044767 112341134301