Search a number
-
+
111120201112100 = 225271937159710459
BaseRepresentation
bin11001010001000000110000…
…000111010101101000100100
3112120102222122212120101000212
4121101000300013111220210
5104031043132441041400
61032155525441154552
732256112113046625
oct3121006007255044
9476388585511025
10111120201112100
11324518a36a2754
1210567a0a62ba58
134a0078930a8ab
141d623642c1a4c
15cca758908335
hex6510301d5a24

111120201112100 has 144 divisors (see below), whose sum is σ = 244964712504960. Its totient is φ = 43743688934400.

The previous prime is 111120201112097. The next prime is 111120201112183. The reversal of 111120201112100 is 1211102021111.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 10624356671 + ... + 10624367129.

It is an arithmetic number, because the mean of its divisors is an integer number (1701143836840).

Almost surely, 2111120201112100 is an apocalyptic number.

111120201112100 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 111120201112100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122482356252480).

111120201112100 is an abundant number, since it is smaller than the sum of its proper divisors (133844511392860).

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

111120201112100 is a wasteful number, since it uses less digits than its factorization.

111120201112100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13078 (or 13071 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 14.

Adding to 111120201112100 its reverse (1211102021111), we get a palindrome (112331303133211).

The spelling of 111120201112100 in words is "one hundred eleven trillion, one hundred twenty billion, two hundred one million, one hundred twelve thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 71 100 142 284 355 710 937 1420 1597 1775 1874 3194 3550 3748 4685 6388 7100 7985 9370 10459 15970 18740 20918 23425 31940 39925 41836 46850 52295 66527 79850 93700 104590 113387 133054 159700 209180 226774 261475 266108 332635 453548 522950 566935 665270 742589 1045900 1133870 1330540 1485178 1496389 1663175 2267740 2834675 2970356 2992778 3326350 3712945 5669350 5985556 6652700 7425890 7481945 9800083 11338700 14851780 14963890 16703023 18564725 19600166 29927780 33406046 37129450 37409725 39200332 49000415 66812092 74258900 74819450 83515115 98000830 106243619 149638900 167030230 196001660 212487238 245002075 334060460 417575575 424974476 490004150 531218095 695805893 835151150 980008300 1062436190 1185914633 1391611786 1670302300 2124872380 2371829266 2656090475 2783223572 3479029465 4743658532 5312180950 5929573165 6958058930 10624361900 11859146330 13916117860 15650732551 17395147325 23718292660 29647865825 31301465102 34790294650 59295731650 62602930204 69580589300 78253662755 118591463300 156507325510 313014651020 391268313775 782536627550 1111202011121 1565073255100 2222404022242 4444808044484 5556010055605 11112020111210 22224040222420 27780050278025 55560100556050 111120201112100