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10210332114 = 23237103251593
BaseRepresentation
bin10011000001001010…
…10100110111010010
3222100120112121112200
421200211110313102
5131402321111424
64405054504030
7511010251053
oct114045246722
928316477480
1010210332114
11436a514704
121b8b505016
13c69451548
146cc07472a
153eb5a88c9
hex260954dd2

10210332114 has 96 divisors (see below), whose sum is σ = 23071112064. Its totient is φ = 3260736000.

The previous prime is 10210332091. The next prime is 10210332149. The reversal of 10210332114 is 41123301201.

10210332114 is a `hidden beast` number, since 10 + 210 + 332 + 114 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 17217802 + ... + 17218394.

It is an arithmetic number, because the mean of its divisors is an integer number (240324084).

Almost surely, 210210332114 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10210332114, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11535556032).

10210332114 is an abundant number, since it is smaller than the sum of its proper divisors (12860779950).

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

10210332114 is a wasteful number, since it uses less digits than its factorization.

10210332114 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 992 (or 989 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 10210332114 its reverse (41123301201), we get a palindrome (51333633315).

The spelling of 10210332114 in words is "ten billion, two hundred ten million, three hundred thirty-two thousand, one hundred fourteen".

Divisors: 1 2 3 6 9 18 37 74 103 111 206 222 251 309 333 502 593 618 666 753 927 1186 1506 1779 1854 2259 3558 3811 4518 5337 7622 9287 10674 11433 18574 21941 22866 25853 27861 34299 43882 51706 55722 61079 65823 68598 77559 83583 122158 131646 148843 155118 167166 183237 197469 232677 297686 366474 394938 446529 465354 549711 893058 956561 1099422 1339587 1913122 2259923 2679174 2869683 4519846 5507191 5739366 6779769 8609049 11014382 13559538 15330829 16521573 17218098 20339307 30661658 33043146 40678614 45992487 49564719 91984974 99129438 137977461 275954922 567240673 1134481346 1701722019 3403444038 5105166057 10210332114