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212052251430 = 235587264301
BaseRepresentation
bin1100010101111101001…
…1001001001100100110
3202021100021201111100000
43011133103021030212
511433240334021210
6241225423402130
721214565253165
oct3053723111446
9667307644300
10212052251430
1181a26a71078
123511ba53346
1316cc5249ab6
14a398a213dc
1557b15b6ac0
hex315f4c9326

212052251430 has 48 divisors (see below), whose sum is σ = 571755706704. Its totient is φ = 56547266400.

The previous prime is 212052251393. The next prime is 212052251443. The reversal of 212052251430 is 34152250212.

212052251430 is a `hidden beast` number, since 2 + 1 + 2 + 0 + 5 + 225 + 1 + 430 = 666.

212052251430 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 (27).

It is a junction number, because it is equal to n+sod(n) for n = 212052251394 and 212052251403.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 43629721 + ... + 43634580.

It is an arithmetic number, because the mean of its divisors is an integer number (11911577223).

Almost surely, 2212052251430 is an apocalyptic number.

212052251430 is an abundant number, since it is smaller than the sum of its proper divisors (359703455274).

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

212052251430 is an equidigital number, since it uses as much as digits as its factorization.

212052251430 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 87264323 (or 87264311 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

The spelling of 212052251430 in words is "two hundred twelve billion, fifty-two million, two hundred fifty-one thousand, four hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 81 90 135 162 243 270 405 486 810 1215 2430 87264301 174528602 261792903 436321505 523585806 785378709 872643010 1308964515 1570757418 2356136127 2617929030 3926893545 4712272254 7068408381 7853787090 11780680635 14136816762 21205225143 23561361270 35342041905 42410450286 70684083810 106026125715 212052251430