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211001100112 = 241157114471451
BaseRepresentation
bin1100010010000010100…
…1010100011101010000
3202011122000210110210201
43010200221110131100
511424112240200422
6240533233504544
721146542521115
oct3044051243520
9664560713721
10211001100112
1181537690580
1234a87a12154
1316b8854047a
14a2d919a90c
15574e17e727
hex3120a54750

211001100112 has 80 divisors (see below), whose sum is σ = 447377508864. Its totient is φ = 95609520000.

The previous prime is 211001100097. The next prime is 211001100113.

211001100112 is nontrivially palindromic in base 10.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (211001100113) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 145416987 + ... + 145418437.

Almost surely, 2211001100112 is an apocalyptic number.

211001100112 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

211001100112 is an abundant number, since it is smaller than the sum of its proper divisors (236376408752).

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

211001100112 is a wasteful number, since it uses less digits than its factorization.

211001100112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3488 (or 3482 counting only the distinct ones).

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

It can be divided in two parts, 211001 and 100112, that multiplied together give a palindrome (21123732112).

The spelling of 211001100112 in words is "two hundred eleven billion, one million, one hundred thousand, one hundred twelve".

Divisors: 1 2 4 8 11 16 22 44 88 176 571 1142 1447 1451 2284 2894 2902 4568 5788 5804 6281 9136 11576 11608 12562 15917 15961 23152 23216 25124 31834 31922 50248 63668 63844 100496 127336 127688 254672 255376 826237 828521 1652474 1657042 2099597 3304948 3314084 4199194 6609896 6628168 8398388 9088607 9113731 13219792 13256336 16796776 18177214 18227462 23095567 33593552 36354428 36454924 46191134 72708856 72909848 92382268 145417712 145819696 184764536 369529072 1198869887 2397739774 4795479548 9590959096 13187568757 19181918192 26375137514 52750275028 105500550056 211001100112