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10111124430 = 23351110731817
BaseRepresentation
bin10010110101010101…
…11000001111001110
3222002122212100012000
421122222320033032
5131201421440210
64351152253130
7505364065611
oct113252701716
928078770160
1010111124430
114319514490
121b622411a6
13c51a27584
146bcc0c178
153e2a0dac0
hex25aab83ce

10111124430 has 128 divisors (see below), whose sum is σ = 29690012160. Its totient is φ = 2428197120.

The previous prime is 10111124383. The next prime is 10111124437. The reversal of 10111124430 is 3442111101.

10111124430 is a `hidden beast` number, since 1 + 0 + 111 + 124 + 430 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10111124437) 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, 301882 + ... + 333698.

It is an arithmetic number, because the mean of its divisors is an integer number (231953220).

Almost surely, 210111124430 is an apocalyptic number.

10111124430 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 10111124430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14845006080).

10111124430 is an abundant number, since it is smaller than the sum of its proper divisors (19578887730).

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

10111124430 is a wasteful number, since it uses less digits than its factorization.

10111124430 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31951 (or 31945 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 10111124430 its reverse (3442111101), we get a palindrome (13553235531).

The spelling of 10111124430 in words is "ten billion, one hundred eleven million, one hundred twenty-four thousand, four hundred thirty".

Divisors: 1 2 3 5 6 9 10 11 15 18 22 27 30 33 45 54 55 66 90 99 107 110 135 165 198 214 270 297 321 330 495 535 594 642 963 990 1070 1177 1485 1605 1926 2354 2889 2970 3210 3531 4815 5778 5885 7062 9630 10593 11770 14445 17655 21186 28890 31779 31817 35310 52965 63558 63634 95451 105930 158895 159085 190902 286353 317790 318170 349987 477255 572706 699974 859059 954510 1049961 1431765 1718118 1749935 2099922 2863530 3149883 3404419 3499870 4295295 5249805 6299766 6808838 8590590 9449649 10213257 10499610 15749415 17022095 18899298 20426514 30639771 31498830 34044190 37448609 47248245 51066285 61279542 74897218 91919313 94496490 102132570 112345827 153198855 183838626 187243045 224691654 306397710 337037481 374486090 459596565 561729135 674074962 919193130 1011112443 1123458270 1685187405 2022224886 3370374810 5055562215 10111124430