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111002106745300 = 22521713123804869
BaseRepresentation
bin11001001111010010110001…
…001001000101000111010100
3112120000200211200011221211211
4121033102301021011013110
5104022124303311322200
61032025355221111204
732244431453355301
oct3117226111050724
9476020750157754
10111002106745300
1132406802491001
1210548b50b58504
1349c25b8b7a144
141d5a7600ac0a8
15cc7645dc4aba
hex64f4b12451d4

111002106745300 has 108 divisors (see below), whose sum is σ = 257005491650460. Its totient is φ = 41470017305600.

The previous prime is 111002106745297. The next prime is 111002106745349. The reversal of 111002106745300 is 3547601200111.

It can be written as a sum of positive squares in 6 ways, for example, as 8497294960144 + 102504811785156 = 2915012^2 + 10124466^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 27271266 + ... + 31076134.

It is an arithmetic number, because the mean of its divisors is an integer number (2379680478245).

Almost surely, 2111002106745300 is an apocalyptic number.

111002106745300 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 111002106745300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128502745825230).

111002106745300 is an abundant number, since it is smaller than the sum of its proper divisors (146003384905160).

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

111002106745300 is a wasteful number, since it uses less digits than its factorization.

111002106745300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3805162 (or 3805024 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 31.

Adding to 111002106745300 its reverse (3547601200111), we get a palindrome (114549707945411).

The spelling of 111002106745300 in words is "one hundred eleven trillion, two billion, one hundred six million, seven hundred forty-five thousand, three hundred".

Divisors: 1 2 4 5 10 17 20 25 34 50 68 85 100 131 170 262 340 425 524 655 850 1310 1700 2227 2620 3275 4454 6550 8908 11135 13100 17161 22270 34322 44540 55675 68644 85805 111350 171610 222700 291737 343220 429025 583474 858050 1166948 1458685 1716100 2917370 3804869 5834740 7293425 7609738 14586850 15219476 19024345 29173700 38048690 64682773 76097380 95121725 129365546 190243450 258731092 323413865 380486900 498437839 646827730 996875678 1293655460 1617069325 1993751356 2492189195 3234138650 4984378390 6468277300 8473443263 9968756780 12460945975 16946886526 24921891950 33893773052 42367216315 49843783900 65295356909 84734432630 130590713818 169468865260 211836081575 261181427636 326476784545 423672163150 652953569090 847344326300 1110021067453 1305907138180 1632383922725 2220042134906 3264767845450 4440084269812 5550105337265 6529535690900 11100210674530 22200421349060 27750526686325 55501053372650 111002106745300