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210022120014 = 23761251326597
BaseRepresentation
bin1100001110011001001…
…0110011101001001110
3202002002210200010120120
43003212102303221032
511420111130320024
6240252142525410
721113354364540
oct3034622635116
9662083603516
10210022120014
1181085014313
1234853b96866
1316a607829c5
14a245161690
1556e3251479
hex30e64b3a4e

210022120014 has 64 divisors (see below), whose sum is σ = 489865646592. Its totient is φ = 58787280000.

The previous prime is 210022119997. The next prime is 210022120037. The reversal of 210022120014 is 410021220012.

210022120014 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 210022119975 and 210022120002.

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 31 ways as a sum of consecutive naturals, for example, 479764 + ... + 806360.

It is an arithmetic number, because the mean of its divisors is an integer number (7654150728).

Almost surely, 2210022120014 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 210022120014, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (244932823296).

210022120014 is an abundant number, since it is smaller than the sum of its proper divisors (279843526578).

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

210022120014 is a wasteful number, since it uses less digits than its factorization.

210022120014 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 326921.

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 210022120014 its reverse (410021220012), we get a palindrome (620043340026).

The spelling of 210022120014 in words is "two hundred ten billion, twenty-two million, one hundred twenty thousand, fourteen".

Divisors: 1 2 3 6 7 14 21 42 61 122 183 251 366 427 502 753 854 1281 1506 1757 2562 3514 5271 10542 15311 30622 45933 91866 107177 214354 321531 326597 643062 653194 979791 1959582 2286179 4572358 6858537 13717074 19922417 39844834 59767251 81975847 119534502 139456919 163951694 245927541 278913838 418370757 491855082 573830929 836741514 1147661858 1721492787 3442985574 5000526667 10001053334 15001580001 30003160002 35003686669 70007373338 105011060007 210022120014