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10040124120 = 23351312894993
BaseRepresentation
bin10010101100111000…
…00010001011011000
3221220201021011001220
421112130002023120
5131030232432440
64340134412040
7503542434615
oct112634021330
927821234056
1010040124120
11429242a944
121b42501020
13c400c8660
146b360950c
153db6868d0
hex2567022d8

10040124120 has 128 divisors (see below), whose sum is σ = 32468990400. Its totient is φ = 2469003264.

The previous prime is 10040124113. The next prime is 10040124181. The reversal of 10040124120 is 2142104001.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 10040124120.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2008344 + ... + 2013336.

Almost surely, 210040124120 is an apocalyptic number.

10040124120 is a gapful number since it is divisible by the number (10) 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 10040124120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16234495200).

10040124120 is an abundant number, since it is smaller than the sum of its proper divisors (22428866280).

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

10040124120 is a wasteful number, since it uses less digits than its factorization.

10040124120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6309 (or 6305 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 10040124120 its reverse (2142104001), we get a palindrome (12182228121).

The spelling of 10040124120 in words is "ten billion, forty million, one hundred twenty-four thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 20 24 26 30 39 40 52 60 65 78 104 120 130 156 195 260 312 390 520 780 1289 1560 2578 3867 4993 5156 6445 7734 9986 10312 12890 14979 15468 16757 19335 19972 24965 25780 29958 30936 33514 38670 39944 49930 50271 51560 59916 64909 67028 74895 77340 83785 99860 100542 119832 129818 134056 149790 154680 167570 194727 199720 201084 251355 259636 299580 324545 335140 389454 402168 502710 519272 599160 649090 670280 778908 973635 1005420 1298180 1557816 1947270 2010840 2596360 3894540 6435977 7789080 12871954 19307931 25743908 32179885 38615862 51487816 64359770 77231724 83667701 96539655 128719540 154463448 167335402 193079310 251003103 257439080 334670804 386158620 418338505 502006206 669341608 772317240 836677010 1004012412 1255015515 1673354020 2008024824 2510031030 3346708040 5020062060 10040124120