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211452013200 = 24352176210011
BaseRepresentation
bin1100010011101110000…
…1011010101010010000
3202012210110021020021110
43010323201122222100
511431023203410300
6241050102253320
721163656312411
oct3047341325220
9665713236243
10211452013200
118174917021a
1234b92a27240
1316c2aa9994c
14a33d015808
155778a4d550
hex313b85aa90

211452013200 has 60 divisors (see below), whose sum is σ = 677351286128. Its totient is φ = 56387203200.

The previous prime is 211452013183. The next prime is 211452013207. The reversal of 211452013200 is 2310254112.

It is a tau number, because it is divible by the number of its divisors (60).

It is not an unprimeable number, because it can be changed into a prime (211452013207) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 88103806 + ... + 88106205.

Almost surely, 2211452013200 is an apocalyptic number.

211452013200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

211452013200 is an abundant number, since it is smaller than the sum of its proper divisors (465899272928).

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

211452013200 is a wasteful number, since it uses less digits than its factorization.

211452013200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 176210032 (or 176210021 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 21.

Adding to 211452013200 its reverse (2310254112), we get a palindrome (213762267312).

The spelling of 211452013200 in words is "two hundred eleven billion, four hundred fifty-two million, thirteen thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 48 50 60 75 80 100 120 150 200 240 300 400 600 1200 176210011 352420022 528630033 704840044 881050055 1057260066 1409680088 1762100110 2114520132 2643150165 2819360176 3524200220 4229040264 4405250275 5286300330 7048400440 8458080528 8810500550 10572600660 13215750825 14096800880 17621001100 21145201320 26431501650 35242002200 42290402640 52863003300 70484004400 105726006600 211452013200