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112100011212 = 22372946018067
BaseRepresentation
bin110100001100110101…
…1100110110011001100
3101201100102221121012010
41220121223212303030
53314040100324322
6123255324141220
711045641242060
oct1503153466314
9351312847163
10112100011212
11435a5596672
1219886097810
13a7565bcba7
1455d6073aa0
152db166320c
hex1a19ae6ccc

112100011212 has 48 divisors (see below), whose sum is σ = 309241416960. Its totient is φ = 30924140352.

The previous prime is 112100011211. The next prime is 112100011217. The reversal of 112100011212 is 212110001211.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is not an unprimeable number, because it can be changed into a prime (112100011211) 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 15 ways as a sum of consecutive naturals, for example, 23006598 + ... + 23011469.

It is an arithmetic number, because the mean of its divisors is an integer number (6442529520).

Almost surely, 2112100011212 is an apocalyptic number.

112100011212 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

112100011212 is an abundant number, since it is smaller than the sum of its proper divisors (197141405748).

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

112100011212 is a wasteful number, since it uses less digits than its factorization.

112100011212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46018110 (or 46018108 counting only the distinct ones).

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

Adding to 112100011212 its reverse (212110001211), we get a palindrome (324210012423).

The spelling of 112100011212 in words is "one hundred twelve billion, one hundred million, eleven thousand, two hundred twelve".

Divisors: 1 2 3 4 6 7 12 14 21 28 29 42 58 84 87 116 174 203 348 406 609 812 1218 2436 46018067 92036134 138054201 184072268 276108402 322126469 552216804 644252938 966379407 1288505876 1334523943 1932758814 2669047886 3865517628 4003571829 5338095772 8007143658 9341667601 16014287316 18683335202 28025002803 37366670404 56050005606 112100011212