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10214000524 = 22713414391559
BaseRepresentation
bin10011000001100110…
…10100011110001100
3222100211102222122201
421200303110132030
5131404241004044
64405305251244
7511053400120
oct114063243614
928324388581
1010214000524
11437159a852
121b90793b24
13c6a1371c0
146cc74b580
153eba807d4
hex260cd478c

10214000524 has 96 divisors (see below), whose sum is σ = 22601779200. Its totient is φ = 3930647040.

The previous prime is 10214000521. The next prime is 10214000551. The reversal of 10214000524 is 42500041201.

It is not an unprimeable number, because it can be changed into a prime (10214000521) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6550857 + ... + 6552415.

It is an arithmetic number, because the mean of its divisors is an integer number (235435200).

Almost surely, 210214000524 is an apocalyptic number.

10214000524 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

10214000524 is the 63919-th heptagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10214000524, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11300889600).

10214000524 is an abundant number, since it is smaller than the sum of its proper divisors (12387778676).

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

10214000524 is a wasteful number, since it uses less digits than its factorization.

10214000524 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2063 (or 2061 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 19.

Adding to 10214000524 its reverse (42500041201), we get a palindrome (52714041725).

The spelling of 10214000524 in words is "ten billion, two hundred fourteen million, five hundred twenty-four", and thus it is an aban number.

Divisors: 1 2 4 7 13 14 26 28 41 52 82 91 164 182 287 364 439 533 574 878 1066 1148 1559 1756 2132 3073 3118 3731 5707 6146 6236 7462 10913 11414 12292 14924 17999 20267 21826 22828 35998 39949 40534 43652 63919 71996 79898 81068 125993 127838 141869 159796 233987 251986 255676 283738 447433 467974 503972 567476 684401 830947 894866 935948 1368802 1637909 1661894 1789732 2737604 3275818 3323788 4790807 5816629 6551636 8897213 9581614 11633258 17794426 19163228 23266516 28060441 35588852 56120882 62280491 112241764 124560982 196423087 249121964 364785733 392846174 729571466 785692348 1459142932 2553500131 5107000262 10214000524