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111410311012 = 227112137334651
BaseRepresentation
bin110011111000010010…
…0100110111101100100
3101122120101011012101021
41213300210212331210
53311132014423022
6123103045340524
711022565006240
oct1476044467544
9348511135337
10111410311012
1143281241700
1219713107744
13a676748970
14556c61b420
152d70d277c7
hex19f0926f64

111410311012 has 144 divisors (see below), whose sum is σ = 267379267456. Its totient is φ = 39517632000.

The previous prime is 111410311009. The next prime is 111410311049. The reversal of 111410311012 is 210113014111.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 3197887 + ... + 3232537.

Almost surely, 2111410311012 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 111410311012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133689633728).

111410311012 is an abundant number, since it is smaller than the sum of its proper divisors (155968956444).

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

111410311012 is a wasteful number, since it uses less digits than its factorization.

111410311012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34770 (or 34757 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 16.

Adding to 111410311012 its reverse (210113014111), we get a palindrome (321523325123).

The spelling of 111410311012 in words is "one hundred eleven billion, four hundred ten million, three hundred eleven thousand, twelve".

Divisors: 1 2 4 7 11 13 14 22 26 28 44 52 73 77 91 121 143 146 154 182 242 286 292 308 364 484 511 572 803 847 949 1001 1022 1573 1606 1694 1898 2002 2044 3146 3212 3388 3796 4004 5621 6292 6643 8833 10439 11011 11242 13286 17666 20878 22022 22484 26572 34651 35332 41756 44044 61831 69302 73073 114829 123662 138604 146146 229658 242557 247324 292292 381161 450463 459316 485114 762322 803803 900926 970228 1524644 1607606 1801852 2529523 2668127 3153241 3215212 4192771 4955093 5059046 5336254 6306482 8385542 9910186 10118092 10672508 12612964 16771084 17706661 19820372 27824753 29349397 32883799 34685651 35413322 54506023 55649506 58698794 65767598 69371302 70826644 109012046 111299012 117397588 131535196 138742604 194773271 218024092 230186593 306072283 361721789 381542161 389546542 460373186 612144566 723443578 763084322 779093084 920746372 1224289132 1446887156 1526168644 2142505981 2532052523 3978939679 4285011962 5064105046 7957879358 8570023924 10128210092 15915758716 27852577753 55705155506 111410311012