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10452230334 = 23371319111949
BaseRepresentation
bin10011011110000000…
…00110000010111110
3222222102201022112000
421233000012002332
5132401232332314
64445055323130
7520005330510
oct115700060276
928872638460
1010452230334
114484014397
1220385204a6
13ca75b83a0
14712241bb0
1541293c209
hex26f0060be

10452230334 has 128 divisors (see below), whose sum is σ = 30092160000. Its totient is φ = 2611522944.

The previous prime is 10452230333. The next prime is 10452230339. The reversal of 10452230334 is 43303225401.

10452230334 is a `hidden beast` number, since 104 + 5 + 223 + 0 + 334 = 666.

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 = 10452230298 and 10452230307.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10452230333) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 37392 + ... + 149340.

It is an arithmetic number, because the mean of its divisors is an integer number (235095000).

Almost surely, 210452230334 is an apocalyptic number.

10452230334 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 10452230334, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15046080000).

10452230334 is an abundant number, since it is smaller than the sum of its proper divisors (19639929666).

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

10452230334 is a wasteful number, since it uses less digits than its factorization.

10452230334 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111999 (or 111993 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 27.

Adding to 10452230334 its reverse (43303225401), we get a palindrome (53755455735).

The spelling of 10452230334 in words is "ten billion, four hundred fifty-two million, two hundred thirty thousand, three hundred thirty-four".

Divisors: 1 2 3 6 7 9 13 14 18 19 21 26 27 38 39 42 54 57 63 78 91 114 117 126 133 171 182 189 234 247 266 273 342 351 378 399 494 513 546 702 741 798 819 1026 1197 1482 1638 1729 2223 2394 2457 3458 3591 4446 4914 5187 6669 7182 10374 13338 15561 31122 46683 93366 111949 223898 335847 671694 783643 1007541 1455337 1567286 2015082 2127031 2350929 2910674 3022623 4254062 4366011 4701858 6045246 6381093 7052787 8732022 10187359 12762186 13098033 14105574 14889217 19143279 20374718 21158361 26196066 27651403 29778434 30562077 38286558 39294099 42316722 44667651 55302806 57429837 61124154 78588198 82954209 89335302 91686231 114859674 134002953 165908418 183372462 193559821 248862627 268005906 275058693 387119642 402008859 497725254 550117386 580679463 746587881 804017718 1161358926 1493175762 1742038389 3484076778 5226115167 10452230334