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211054450112 = 2611730941017
BaseRepresentation
bin1100010010001111010…
…0110101010111000000
3202011202202011221020122
43010203310311113000
511424214414400422
6240542421155412
721151061140352
oct3044364652700
9664682157218
10211054450112
118156480a190
1234aa185bb68
1316b965cc60c
14a3022c70d2
155753bbbd42
hex3123d355c0

211054450112 has 56 divisors (see below), whose sum is σ = 456958567920. Its totient is φ = 95918376960.

The previous prime is 211054450021. The next prime is 211054450151.

It is a happy number.

211054450112 is nontrivially palindromic in base 10.

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 5125028 + ... + 5166044.

Almost surely, 2211054450112 is an apocalyptic number.

211054450112 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

211054450112 is an abundant number, since it is smaller than the sum of its proper divisors (245904117808).

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

211054450112 is a wasteful number, since it uses less digits than its factorization.

211054450112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48349 (or 48339 counting only the distinct ones).

The product of its (nonzero) digits is 1600, while the sum is 26.

It can be divided in two parts, 211054 and 450112, that added together give a palindrome (661166).

The spelling of 211054450112 in words is "two hundred eleven billion, fifty-four million, four hundred fifty thousand, one hundred twelve".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 176 352 704 7309 14618 29236 41017 58472 80399 82034 116944 160798 164068 233888 321596 328136 451187 467776 643192 656272 902374 1286384 1312544 1804748 2572768 2625088 3609496 5145536 7218992 14437984 28875968 299793253 599586506 1199173012 2398346024 3297725783 4796692048 6595451566 9593384096 13190903132 19186768192 26381806264 52763612528 105527225056 211054450112