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5011110312 = 2331319244491
BaseRepresentation
bin1001010101010111…
…10111100110101000
3110221020021210001020
410222223313212220
540230321012222
62145125252440
7235115510025
oct45253674650
913836253036
105011110312
11214170638a
12b7a264120
1361b24b940
1435775454c
151e4ded65c
hex12aaf79a8

5011110312 has 96 divisors (see below), whose sum is σ = 14239219680. Its totient is φ = 1460695680.

The previous prime is 5011110287. The next prime is 5011110319. The reversal of 5011110312 is 2130111105.

It is a super-2 number, since 2×50111103122 = 50222453118065474688, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 5011110291 and 5011110300.

It is not an unprimeable number, because it can be changed into a prime (5011110319) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 90387 + ... + 134877.

It is an arithmetic number, because the mean of its divisors is an integer number (148325205).

Almost surely, 25011110312 is an apocalyptic number.

5011110312 is a gapful number since it is divisible by the number (52) 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 5011110312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7119609840).

5011110312 is an abundant number, since it is smaller than the sum of its proper divisors (9228109368).

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

5011110312 is a wasteful number, since it uses less digits than its factorization.

5011110312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44551 (or 44528 counting only the distinct ones).

The product of its (nonzero) digits is 30, while the sum is 15.

The square root of 5011110312 is about 70789.1962943499. The cubic root of 5011110312 is about 1711.2415674616.

Adding to 5011110312 its reverse (2130111105), we get a palindrome (7141221417).

The spelling of 5011110312 in words is "five billion, eleven million, one hundred ten thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 12 13 19 24 26 38 39 52 57 76 78 104 114 152 156 228 247 312 361 456 494 722 741 988 1083 1444 1482 1976 2166 2888 2964 4332 4693 5928 8664 9386 14079 18772 28158 37544 44491 56316 88982 112632 133473 177964 266946 355928 533892 578383 845329 1067784 1156766 1690658 1735149 2313532 2535987 3381316 3470298 4627064 5071974 6762632 6940596 10143948 10989277 13881192 16061251 20287896 21978554 32122502 32967831 43957108 48183753 64245004 65935662 87914216 96367506 128490008 131871324 192735012 208796263 263742648 385470024 417592526 626388789 835185052 1252777578 1670370104 2505555156 5011110312