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111021102120 = 23352383484639
BaseRepresentation
bin110011101100101011…
…1111001010000101000
3101121120020210100011010
41213121113321100220
53304332400231440
6123000303303520
711010130540365
oct1473127712050
9347506710133
10111021102120
11430a1577265
12196248aaba0
13a613c15046
145532a6546c
152d4ba96580
hex19d95f9428

111021102120 has 128 divisors (see below), whose sum is σ = 351732326400. Its totient is φ = 27977182464.

The previous prime is 111021102113. The next prime is 111021102131. The reversal of 111021102120 is 21201120111.

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 = 111021102096 and 111021102105.

It is an unprimeable number.

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, 13240 + ... + 471399.

It is an arithmetic number, because the mean of its divisors is an integer number (2747908800).

Almost surely, 2111021102120 is an apocalyptic number.

111021102120 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 111021102120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175866163200).

111021102120 is an abundant number, since it is smaller than the sum of its proper divisors (240711224280).

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

111021102120 is a wasteful number, since it uses less digits than its factorization.

111021102120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 484759 (or 484755 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 111021102120 its reverse (21201120111), we get a palindrome (132222222231).

The spelling of 111021102120 in words is "one hundred eleven billion, twenty-one million, one hundred two thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 23 24 30 40 46 60 69 83 92 115 120 138 166 184 230 249 276 332 345 415 460 498 552 664 690 830 920 996 1245 1380 1660 1909 1992 2490 2760 3320 3818 4980 5727 7636 9545 9960 11454 15272 19090 22908 28635 38180 45816 57270 76360 114540 229080 484639 969278 1453917 1938556 2423195 2907834 3877112 4846390 5815668 7269585 9692780 11146697 11631336 14539170 19385560 22293394 29078340 33440091 40225037 44586788 55733485 58156680 66880182 80450074 89173576 111466970 120675111 133760364 160900148 167200455 201125185 222933940 241350222 267520728 321800296 334400910 402250370 445867880 482700444 603375555 668801820 804500740 925175851 965400888 1206751110 1337603640 1609001480 1850351702 2413502220 2775527553 3700703404 4625879255 4827004440 5551055106 7401406808 9251758510 11102110212 13877637765 18503517020 22204220424 27755275530 37007034040 55510551060 111021102120