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1124252110242 = 23513924376829
BaseRepresentation
bin10000010111000010101…
…001011100110110100010
310222110220001200121200000
4100113002221130312202
5121404432020011432
62220250240240430
7144140005156212
oct20270251346642
93873801617600
101124252110242
113a387a009408
12161a79910116
138202a3a5671
143c5b23ac242
151e39eb9157c
hex105c2a5cda2

1124252110242 has 96 divisors (see below), whose sum is σ = 2545687435200. Its totient is φ = 371847526848.

The previous prime is 1124252110229. The next prime is 1124252110361. The reversal of 1124252110242 is 2420112524211.

1124252110242 is a `hidden beast` number, since 1 + 1 + 2 + 425 + 211 + 0 + 24 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

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, 164625684 + ... + 164632512.

It is an arithmetic number, because the mean of its divisors is an integer number (26517577450).

Almost surely, 21124252110242 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1124252110242, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1272843717600).

1124252110242 is an abundant number, since it is smaller than the sum of its proper divisors (1421435324958).

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

1124252110242 is a wasteful number, since it uses less digits than its factorization.

1124252110242 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9422 (or 9410 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 27.

Adding to 1124252110242 its reverse (2420112524211), we get a palindrome (3544364634453).

The spelling of 1124252110242 in words is "one trillion, one hundred twenty-four billion, two hundred fifty-two million, one hundred ten thousand, two hundred forty-two".

Divisors: 1 2 3 6 9 18 27 54 81 139 162 243 278 417 486 834 1251 2437 2502 3753 4874 6829 7311 7506 11259 13658 14622 20487 21933 22518 33777 40974 43866 61461 65799 67554 122922 131598 184383 197397 338743 368766 394794 553149 592191 677486 949231 1016229 1106298 1184382 1659447 1898462 2032458 2847693 3048687 3318894 5695386 6097374 8543079 9146061 16642273 17086158 18292122 25629237 27438183 33284546 49926819 51258474 54876366 76887711 82314549 99853638 149780457 153775422 164629098 230663133 299560914 449341371 461326266 898682742 1348024113 2313275947 2696048226 4044072339 4626551894 6939827841 8088144678 13879655682 20819483523 41638967046 62458450569 124916901138 187375351707 374750703414 562126055121 1124252110242