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111023014340 = 225723152322639
BaseRepresentation
bin110011101100101111…
…1001100000111000100
3101121120101101111020002
41213121133030013010
53304333342424330
6123000412300432
711010153023360
oct1473137140704
9347511344202
10111023014340
11430a2662a07
1219625471718
13a614434534
1455330022a0
152d4bd22e45
hex19d97cc1c4

111023014340 has 96 divisors (see below), whose sum is σ = 278235095040. Its totient is φ = 36384518016.

The previous prime is 111023014327. The next prime is 111023014343. The reversal of 111023014340 is 43410320111.

It is a super-2 number, since 2×1110230143402 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (111023014343) 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 31 ways as a sum of consecutive naturals, for example, 4892741 + ... + 4915379.

It is an arithmetic number, because the mean of its divisors is an integer number (2898282240).

Almost surely, 2111023014340 is an apocalyptic number.

111023014340 is a gapful number since it is divisible by the number (10) 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 111023014340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139117547520).

111023014340 is an abundant number, since it is smaller than the sum of its proper divisors (167212080700).

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

111023014340 is a wasteful number, since it uses less digits than its factorization.

111023014340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24201 (or 24199 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

Adding to 111023014340 its reverse (43410320111), we get a palindrome (154433334451).

The spelling of 111023014340 in words is "one hundred eleven billion, twenty-three million, fourteen thousand, three hundred forty".

Divisors: 1 2 4 5 7 10 14 20 23 28 35 46 70 92 115 140 161 230 322 460 644 805 1523 1610 3046 3220 6092 7615 10661 15230 21322 22639 30460 35029 42644 45278 53305 70058 90556 106610 113195 140116 158473 175145 213220 226390 245203 316946 350290 452780 490406 520697 633892 700580 792365 980812 1041394 1226015 1584730 2082788 2452030 2603485 3169460 3644879 4904060 5206970 7289758 10413940 14579516 18224395 34479197 36448790 68958394 72897580 137916788 172395985 241354379 344791970 482708758 689583940 793021531 965417516 1206771895 1586043062 2413543790 3172086124 3965107655 4827087580 5551150717 7930215310 11102301434 15860430620 22204602868 27755753585 55511507170 111023014340