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120000211110 = 232513102564283
BaseRepresentation
bin110111111000010010…
…0011110100010100110
3102110202000120100002100
41233300210132202212
53431230023223420
6131043300552530
711445500651613
oct1576044364246
9373660510070
10120000211110
1146989a9979a
121b30b9b2746
13b41525c4a0
145b4539d50a
1531c4ee8190
hex1bf091e8a6

120000211110 has 48 divisors (see below), whose sum is σ = 336000594384. Its totient is φ = 29538513216.

The previous prime is 120000211087. The next prime is 120000211117. The reversal of 120000211110 is 11112000021.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 120000211092 and 120000211101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120000211117) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 51280972 + ... + 51283311.

It is an arithmetic number, because the mean of its divisors is an integer number (7000012383).

Almost surely, 2120000211110 is an apocalyptic number.

120000211110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

120000211110 is an abundant number, since it is smaller than the sum of its proper divisors (216000383274).

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

120000211110 is a wasteful number, since it uses less digits than its factorization.

120000211110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102564309 (or 102564306 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 120000211110 its reverse (11112000021), we get a palindrome (131112211131).

The spelling of 120000211110 in words is "one hundred twenty billion, two hundred eleven thousand, one hundred ten".

Divisors: 1 2 3 5 6 9 10 13 15 18 26 30 39 45 65 78 90 117 130 195 234 390 585 1170 102564283 205128566 307692849 512821415 615385698 923078547 1025642830 1333335679 1538464245 1846157094 2666671358 3076928490 4000007037 4615392735 6666678395 8000014074 9230785470 12000021111 13333356790 20000035185 24000042222 40000070370 60000105555 120000211110