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211332002120 = 2357170773679
BaseRepresentation
bin1100010011010001011…
…1100111000101001000
3202012111002110001000122
43010310113213011020
511430301443031440
6241030134122412
721161001244031
oct3046427470510
9665432401018
10211332002120
1181697451108
1234b5a7b0408
1316c0bc6a985
14a32b0d5a88
15576d2447b5
hex31345e7148

211332002120 has 32 divisors (see below), whose sum is σ = 475510089600. Its totient is φ = 84530474688.

The previous prime is 211332002087. The next prime is 211332002149. The reversal of 211332002120 is 21200233112.

It is a super-2 number, since 2×2113320021202 (a number of 23 digits) contains 22 as substring.

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, 2831441 + ... + 2905119.

It is an arithmetic number, because the mean of its divisors is an integer number (14859690300).

Almost surely, 2211332002120 is an apocalyptic number.

211332002120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

211332002120 is an abundant number, since it is smaller than the sum of its proper divisors (264178087480).

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

211332002120 is a wasteful number, since it uses less digits than its factorization.

211332002120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 145397 (or 145393 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 17.

Adding to 211332002120 its reverse (21200233112), we get a palindrome (232532235232).

The spelling of 211332002120 in words is "two hundred eleven billion, three hundred thirty-two million, two thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 71707 73679 143414 147358 286828 294716 358535 368395 573656 589432 717070 736790 1434140 1473580 2868280 2947160 5283300053 10566600106 21133200212 26416500265 42266400424 52833000530 105666001060 211332002120