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1211000001112 = 2311229353122207
BaseRepresentation
bin10001100111110101001…
…110011001001001011000
311021202210200011001202001
4101213311032121021120
5124320112000013422
62324154204450344
7153330465112066
oct21476516311130
94252720131661
101211000001112
11427644a25800
121768495499b4
138a2735129c5
14428813d9036
152177a77a227
hex119f5399258

1211000001112 has 96 divisors (see below), whose sum is σ = 2589208675200. Its totient is φ = 529963427840.

The previous prime is 1211000001061. The next prime is 1211000001163. The reversal of 1211000001112 is 2111000001121.

It is an interprime number because it is at equal distance from previous prime (1211000001061) and next prime (1211000001163).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9848313 + ... + 9970519.

It is an arithmetic number, because the mean of its divisors is an integer number (26970923700).

Almost surely, 21211000001112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1211000001112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1294604337600).

1211000001112 is an abundant number, since it is smaller than the sum of its proper divisors (1378208674088).

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

1211000001112 is a wasteful number, since it uses less digits than its factorization.

1211000001112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 122617 (or 122602 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 10.

Adding to 1211000001112 its reverse (2111000001121), we get a palindrome (3322000002233).

Subtracting 1211000001112 from its reverse (2111000001121), we obtain a palindrome (900000000009).

The spelling of 1211000001112 in words is "one trillion, two hundred eleven billion, one thousand, one hundred twelve".

Divisors: 1 2 4 8 11 22 29 44 58 88 116 121 232 242 319 353 484 638 706 968 1276 1412 2552 2824 3509 3883 7018 7766 10237 14036 15532 20474 28072 31064 40948 42713 81896 85426 112607 122207 170852 225214 244414 341704 450428 488828 900856 977656 1238677 1344277 2477354 2688554 3544003 4954708 5377108 7088006 9909416 10754216 14176012 14787047 28352024 29574094 38984033 43139071 59148188 77968066 86278142 118296376 155936132 172556284 311872264 345112568 428824363 474529781 857648726 949059562 1251033059 1715297452 1898119124 2502066118 3430594904 3796238248 5004132236 5219827591 10008264472 10439655182 13761363649 20879310364 27522727298 41758620728 55045454596 110090909192 151375000139 302750000278 605500000556 1211000001112