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211123030440 = 233572391051619
BaseRepresentation
bin1100010010011111101…
…0011100100110101000
3202011221112020011202210
43010213322130212220
511424334443433230
6240553311125120
721152553102120
oct3044772344650
9664845204683
10211123030440
118159a4a0643
1234b008137a0
1316ba7891baa
14a30b459c80
155759c16eb0
hex3127e9c9a8

211123030440 has 128 divisors (see below), whose sum is σ = 726879744000. Its totient is φ = 48054736128.

The previous prime is 211123030423. The next prime is 211123030441. The reversal of 211123030440 is 44030321112.

211123030440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is not an unprimeable number, because it can be changed into a prime (211123030441) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 325050 + ... + 726569.

It is an arithmetic number, because the mean of its divisors is an integer number (5678748000).

Almost surely, 2211123030440 is an apocalyptic number.

211123030440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

211123030440 is an abundant number, since it is smaller than the sum of its proper divisors (515756713560).

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

211123030440 is a wasteful number, since it uses less digits than its factorization.

211123030440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1051879 (or 1051875 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

Adding to 211123030440 its reverse (44030321112), we get a palindrome (255153351552).

The spelling of 211123030440 in words is "two hundred eleven billion, one hundred twenty-three million, thirty thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 28 30 35 40 42 56 60 70 84 105 120 140 168 210 239 280 420 478 717 840 956 1195 1434 1673 1912 2390 2868 3346 3585 4780 5019 5736 6692 7170 8365 9560 10038 13384 14340 16730 20076 25095 28680 33460 40152 50190 66920 100380 200760 1051619 2103238 3154857 4206476 5258095 6309714 7361333 8412952 10516190 12619428 14722666 15774285 21032380 22083999 25238856 29445332 31548570 36806665 42064760 44167998 58890664 63097140 73613330 88335996 110419995 126194280 147226660 176671992 220839990 251336941 294453320 441679980 502673882 754010823 883359960 1005347764 1256684705 1508021646 1759358587 2010695528 2513369410 3016043292 3518717174 3770054115 5026738820 5278075761 6032086584 7037434348 7540108230 8796792935 10053477640 10556151522 14074868696 15080216460 17593585870 21112303044 26390378805 30160432920 35187171740 42224606088 52780757610 70374343480 105561515220 211123030440