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211423314420 = 223255322161773
BaseRepresentation
bin1100010011100111001…
…1111100000111110100
3202012201110021011221200
43010321303330013310
511430443332030140
6241043155212500
721163160343453
oct3047163740764
9665643234850
10211423314420
1181733a4941a
1234b852a7130
1316c24b5c016
14a3392a4b9a
155776280030
hex3139cfc1f4

211423314420 has 72 divisors (see below), whose sum is σ = 653417744616. Its totient is φ = 55315782912.

The previous prime is 211423314383. The next prime is 211423314433. The reversal of 211423314420 is 24413324112.

211423314420 is a `hidden beast` number, since 2 + 1 + 1 + 4 + 233 + 1 + 4 + 420 = 666.

211423314420 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 23922190224 + 187501124196 = 154668^2 + 433014^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11071347 + ... + 11090426.

It is an arithmetic number, because the mean of its divisors is an integer number (9075246453).

Almost surely, 2211423314420 is an apocalyptic number.

211423314420 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

211423314420 is an abundant number, since it is smaller than the sum of its proper divisors (441994430196).

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

211423314420 is a wasteful number, since it uses less digits than its factorization.

211423314420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22161841 (or 22161836 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 211423314420 its reverse (24413324112), we get a palindrome (235836638532).

The spelling of 211423314420 in words is "two hundred eleven billion, four hundred twenty-three million, three hundred fourteen thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 53 60 90 106 159 180 212 265 318 477 530 636 795 954 1060 1590 1908 2385 3180 4770 9540 22161773 44323546 66485319 88647092 110808865 132970638 199455957 221617730 265941276 332426595 398911914 443235460 664853190 797823828 997279785 1174573969 1329706380 1994559570 2349147938 3523721907 3989119140 4698295876 5872869845 7047443814 10571165721 11745739690 14094887628 17618609535 21142331442 23491479380 35237219070 42284662884 52855828605 70474438140 105711657210 211423314420