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211123321112 = 231110143375477
BaseRepresentation
bin1100010010011111101…
…1100011100100011000
3202011221112202221111102
43010213323203210120
511424340032233422
6240553321250532
721152555422424
oct3044773434430
9664845687442
10211123321112
118159a679a70
1234b00933a48
1316ba79642a2
14a30b4d3b84
155759c73192
hex3127ee3918

211123321112 has 64 divisors (see below), whose sum is σ = 436299035040. Its totient is φ = 94975744000.

The previous prime is 211123321091. The next prime is 211123321121.

211123321112 is nontrivially palindromic in base 10.

211123321112 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

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, 38544518 + ... + 38549994.

Almost surely, 2211123321112 is an apocalyptic number.

211123321112 is a gapful number since it is divisible by the number (22) 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 211123321112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (218149517520).

211123321112 is an abundant number, since it is smaller than the sum of its proper divisors (225175713928).

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

211123321112 is a wasteful number, since it uses less digits than its factorization.

211123321112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9932 (or 9928 counting only the distinct ones).

The product of its digits is 144, while the sum is 20.

It can be divided in two parts, 211123 and 321112, that added together give a palindrome (532235).

The spelling of 211123321112 in words is "two hundred eleven billion, one hundred twenty-three million, three hundred twenty-one thousand, one hundred twelve".

Divisors: 1 2 4 8 11 22 44 88 101 202 404 808 1111 2222 4337 4444 5477 8674 8888 10954 17348 21908 34696 43816 47707 60247 95414 120494 190828 240988 381656 438037 481976 553177 876074 1106354 1752148 2212708 3504296 4425416 4818407 6084947 9636814 12169894 19273628 23753749 24339788 38547256 47507498 48679576 95014996 190029992 261291239 522582478 1045164956 2090329912 2399128649 4798257298 9596514596 19193029192 26390415139 52780830278 105561660556 211123321112