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111002311020 = 223537103485447
BaseRepresentation
bin110011101100001000…
…0001101100101101100
3101121111221102122121110
41213120100031211230
53304313042423040
6122554352432020
711006512035006
oct1473020154554
9347457378543
10111002311020
1143091a02227
121961a548610
13a610065c53
145530373376
152d4a0d3980
hex19d840d96c

111002311020 has 96 divisors (see below), whose sum is σ = 322306403328. Its totient is φ = 28520923392.

The previous prime is 111002310989. The next prime is 111002311027. The reversal of 111002311020 is 20113200111.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 111002310987 and 111002311005.

It is not an unprimeable number, because it can be changed into a prime (111002311027) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 14064 + ... + 471383.

It is an arithmetic number, because the mean of its divisors is an integer number (3357358368).

Almost surely, 2111002311020 is an apocalyptic number.

111002311020 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 111002311020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161153201664).

111002311020 is an abundant number, since it is smaller than the sum of its proper divisors (211304092308).

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

111002311020 is a wasteful number, since it uses less digits than its factorization.

111002311020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 485599 (or 485597 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 12.

Adding to 111002311020 its reverse (20113200111), we get a palindrome (131115511131).

The spelling of 111002311020 in words is "one hundred eleven billion, two million, three hundred eleven thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 37 60 74 103 111 148 185 206 222 309 370 412 444 515 555 618 740 1030 1110 1236 1545 2060 2220 3090 3811 6180 7622 11433 15244 19055 22866 38110 45732 57165 76220 114330 228660 485447 970894 1456341 1941788 2427235 2912682 4854470 5825364 7281705 9708940 14563410 17961539 29126820 35923078 50001041 53884617 71846156 89807695 100002082 107769234 150003123 179615390 200004164 215538468 250005205 269423085 300006246 359230780 500010410 538846170 600012492 750015615 1000020820 1077692340 1500031230 1850038517 3000062460 3700077034 5550115551 7400154068 9250192585 11100231102 18500385170 22200462204 27750577755 37000770340 55501155510 111002311020