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10534111224 = 23371310914421
BaseRepresentation
bin10011100111110000…
…11100011111111000
31000012010210021222120
421303320130133320
5133033213024344
64501142321240
7522021316350
oct116370343770
930163707876
1010534111224
11451625a74a
12205ba29220
13cbb556910
1471d077b60
15419c13219
hex273e1c7f8

10534111224 has 128 divisors (see below), whose sum is σ = 32449697280. Its totient is φ = 2775052800.

The previous prime is 10534111223. The next prime is 10534111229. The reversal of 10534111224 is 42211143501.

It is a super-2 number, since 2×105341112242 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 10534111194 and 10534111203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10534111223) 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, 2380534 + ... + 2384954.

It is an arithmetic number, because the mean of its divisors is an integer number (253513260).

Almost surely, 210534111224 is an apocalyptic number.

10534111224 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10534111224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16224848640).

10534111224 is an abundant number, since it is smaller than the sum of its proper divisors (21915586056).

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

10534111224 is a wasteful number, since it uses less digits than its factorization.

10534111224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5541 (or 5537 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 24.

Adding to 10534111224 its reverse (42211143501), we get a palindrome (52745254725).

The spelling of 10534111224 in words is "ten billion, five hundred thirty-four million, one hundred eleven thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 7 8 12 13 14 21 24 26 28 39 42 52 56 78 84 91 104 156 168 182 273 312 364 546 728 1091 1092 2182 2184 3273 4364 4421 6546 7637 8728 8842 13092 13263 14183 15274 17684 22911 26184 26526 28366 30548 30947 35368 42549 45822 53052 56732 57473 61096 61894 85098 91644 92841 99281 106104 113464 114946 123788 170196 172419 183288 185682 198562 229892 247576 297843 340392 344838 371364 397124 402311 459784 595686 689676 742728 794248 804622 1191372 1206933 1379352 1609244 2382744 2413866 3218488 4823311 4827732 9646622 9655464 14469933 19293244 28939866 33763177 38586488 57879732 62703043 67526354 101289531 115759464 125406086 135052708 188109129 202579062 250812172 270105416 376218258 405158124 438921301 501624344 752436516 810316248 877842602 1316763903 1504873032 1755685204 2633527806 3511370408 5267055612 10534111224