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10514252124 = 22324710695813
BaseRepresentation
bin10011100101011001…
…01100000101011100
31000010202102100102100
421302230230011130
5133013122031444
64455152525100
7521360445165
oct116254540534
930122370370
1010514252124
114506026272
122055250790
13cb73c267c
1471a58876c
154180dde69
hex272b2c15c

10514252124 has 72 divisors (see below), whose sum is σ = 27173240640. Its totient is φ = 3426383232.

The previous prime is 10514252101. The next prime is 10514252183. The reversal of 10514252124 is 42125241501.

It is a happy number.

10514252124 is a `hidden beast` number, since 1 + 0 + 514 + 25 + 2 + 124 = 666.

It is a super-2 number, since 2×105142521242 (a number of 21 digits) contains 22 as substring.

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, 1805842 + ... + 1811654.

It is an arithmetic number, because the mean of its divisors is an integer number (377406120).

Almost surely, 210514252124 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10514252124, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13586620320).

10514252124 is an abundant number, since it is smaller than the sum of its proper divisors (16658988516).

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

10514252124 is a wasteful number, since it uses less digits than its factorization.

10514252124 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6939 (or 6934 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 27.

Adding to 10514252124 its reverse (42125241501), we get a palindrome (52639493625).

The spelling of 10514252124 in words is "ten billion, five hundred fourteen million, two hundred fifty-two thousand, one hundred twenty-four".

Divisors: 1 2 3 4 6 9 12 18 36 47 94 141 188 282 423 564 846 1069 1692 2138 3207 4276 5813 6414 9621 11626 12828 17439 19242 23252 34878 38484 50243 52317 69756 100486 104634 150729 200972 209268 273211 301458 452187 546422 602916 819633 904374 1092844 1639266 1808748 2458899 3278532 4917798 6214097 9835596 12428194 18642291 24856388 37284582 55926873 74569164 111853746 223707492 292062559 584125118 876187677 1168250236 1752375354 2628563031 3504750708 5257126062 10514252124