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1000111212 = 22353133191
BaseRepresentation
bin111011100111000…
…111110001101100
32120200212220200000
4323213013301230
54022012024322
6243123504300
733532543062
oct7347076154
92520786600
101000111212
1147359a3a1
1223ab28090
1312c2789a9
1496b7a032
155cc043ac
hex3b9c7c6c

1000111212 has 72 divisors (see below), whose sum is σ = 2706342912. Its totient is φ = 322606800.

The previous prime is 1000111201. The next prime is 1000111213. The reversal of 1000111212 is 2121110001.

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 = 1000111194 and 1000111203.

It is not an unprimeable number, because it can be changed into a prime (1000111213) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 13537 + ... + 46727.

It is an arithmetic number, because the mean of its divisors is an integer number (37588096).

Almost surely, 21000111212 is an apocalyptic number.

1000111212 is a gapful number since it is divisible by the number (12) 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 1000111212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1353171456).

1000111212 is an abundant number, since it is smaller than the sum of its proper divisors (1706231700).

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

1000111212 is a wasteful number, since it uses less digits than its factorization.

1000111212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33241 (or 33227 counting only the distinct ones).

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

The square root of 1000111212 is about 31624.5349689130. The cubic root of 1000111212 is about 1000.0370692925.

Adding to 1000111212 its reverse (2121110001), we get a palindrome (3121221213).

The spelling of 1000111212 in words is "one billion, one hundred eleven thousand, two hundred twelve".

Divisors: 1 2 3 4 6 9 12 18 27 31 36 54 62 81 93 108 124 162 186 243 279 324 372 486 558 837 972 1116 1674 2511 3348 5022 7533 10044 15066 30132 33191 66382 99573 132764 199146 298719 398292 597438 896157 1028921 1194876 1792314 2057842 2688471 3086763 3584628 4115684 5376942 6173526 8065413 9260289 10753884 12347052 16130826 18520578 27780867 32261652 37041156 55561734 83342601 111123468 166685202 250027803 333370404 500055606 1000111212