Search a number
-
+
111001000212 = 22332344686393
BaseRepresentation
bin110011101100000101…
…1001101100100010100
3101121111211222001112000
41213120023031210110
53304312224001322
6122554304355300
711006464635264
oct1473013154424
9347454861460
10111001000212
1143091197413
121961a015b30
13a60c9c741b
1455301117a4
152d49e253ac
hex19d82cd914

111001000212 has 48 divisors (see below), whose sum is σ = 300292567680. Its totient is φ = 35391622464.

The previous prime is 111001000211. The next prime is 111001000241. The reversal of 111001000212 is 212000100111.

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 = 111001000194 and 111001000203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (111001000211) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 22340713 + ... + 22345680.

It is an arithmetic number, because the mean of its divisors is an integer number (6256095160).

Almost surely, 2111001000212 is an apocalyptic number.

111001000212 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

111001000212 is an abundant number, since it is smaller than the sum of its proper divisors (189291567468).

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

111001000212 is a wasteful number, since it uses less digits than its factorization.

111001000212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44686429 (or 44686421 counting only the distinct ones).

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

Adding to 111001000212 its reverse (212000100111), we get a palindrome (323001100323).

The spelling of 111001000212 in words is "one hundred eleven billion, one million, two hundred twelve", and thus it is an aban number.

Divisors: 1 2 3 4 6 9 12 18 23 27 36 46 54 69 92 108 138 207 276 414 621 828 1242 2484 44686393 89372786 134059179 178745572 268118358 402177537 536236716 804355074 1027787039 1206532611 1608710148 2055574078 2413065222 3083361117 4111148156 4826130444 6166722234 9250083351 12333444468 18500166702 27750250053 37000333404 55500500106 111001000212