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211402322120 = 23511480459823
BaseRepresentation
bin1100010011100010001…
…1110111000011001000
3202012122222202122221002
43010320203313003020
511430422443301440
6241041125234132
721162514042433
oct3047043670310
9665588678832
10211402322120
1181723110610
1234b7a262948
1316c206bc042
14a33659c81a
1557744d5115
hex31388f70c8

211402322120 has 32 divisors (see below), whose sum is σ = 518896609920. Its totient is φ = 76873571520.

The previous prime is 211402322083. The next prime is 211402322123. The reversal of 211402322120 is 21223204112.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 211402322092 and 211402322101.

It is not an unprimeable number, because it can be changed into a prime (211402322123) 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 7 ways as a sum of consecutive naturals, for example, 240229472 + ... + 240230351.

It is an arithmetic number, because the mean of its divisors is an integer number (16215519060).

Almost surely, 2211402322120 is an apocalyptic number.

211402322120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

211402322120 is an abundant number, since it is smaller than the sum of its proper divisors (307494287800).

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

211402322120 is a wasteful number, since it uses less digits than its factorization.

211402322120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 480459845 (or 480459841 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

Adding to 211402322120 its reverse (21223204112), we get a palindrome (232625526232).

The spelling of 211402322120 in words is "two hundred eleven billion, four hundred two million, three hundred twenty-two thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 110 220 440 480459823 960919646 1921839292 2402299115 3843678584 4804598230 5285058053 9609196460 10570116106 19218392920 21140232212 26425290265 42280464424 52850580530 105701161060 211402322120