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211441201000 = 23532111002091
BaseRepresentation
bin1100010011101011100…
…0001010111101101000
3202012202200220220201121
43010322320022331220
511431012421413000
6241045034425024
721163465361101
oct3047270127550
9665680826647
10211441201000
1181743055917
1234b8b292174
1316c287824b3
14a33b7dd3a8
155777b14b1a
hex313ae0af68

211441201000 has 64 divisors (see below), whose sum is σ = 497117799360. Its totient is φ = 84175560000.

The previous prime is 211441200991. The next prime is 211441201061. The reversal of 211441201000 is 102144112.

It is a happy number.

211441201000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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, 290046 + ... + 712045.

It is an arithmetic number, because the mean of its divisors is an integer number (7767465615).

Almost surely, 2211441201000 is an apocalyptic number.

211441201000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

211441201000 is an abundant number, since it is smaller than the sum of its proper divisors (285676598360).

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

211441201000 is a wasteful number, since it uses less digits than its factorization.

211441201000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1002323 (or 1002309 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 211441201000 its reverse (102144112), we get a palindrome (211543345112).

The spelling of 211441201000 in words is "two hundred eleven billion, four hundred forty-one million, two hundred one thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 125 200 211 250 422 500 844 1000 1055 1688 2110 4220 5275 8440 10550 21100 26375 42200 52750 105500 211000 1002091 2004182 4008364 5010455 8016728 10020910 20041820 25052275 40083640 50104550 100209100 125261375 200418200 211441201 250522750 422882402 501045500 845764804 1002091000 1057206005 1691529608 2114412010 4228824020 5286030025 8457648040 10572060050 21144120100 26430150125 42288240200 52860300250 105720600500 211441201000