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10142120220 = 22353135091061
BaseRepresentation
bin10010111001000010…
…00111100100011100
3222011211012002102020
421130201013210130
5131232340321340
64354220500140
7506221412421
oct113441074434
928154162366
1010142120220
114334a65041
121b706aa650
13c5828a88b
146c2d99d48
153e55d29d0
hex25c84791c

10142120220 has 96 divisors (see below), whose sum is σ = 28571538240. Its totient is φ = 2688092160.

The previous prime is 10142120203. The next prime is 10142120231. The reversal of 10142120220 is 2202124101.

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 10142120220.

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, 9558490 + ... + 9559550.

It is an arithmetic number, because the mean of its divisors is an integer number (297620190).

Almost surely, 210142120220 is an apocalyptic number.

10142120220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10142120220 is an abundant number, since it is smaller than the sum of its proper divisors (18429418020).

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

10142120220 is a wasteful number, since it uses less digits than its factorization.

10142120220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1895 (or 1893 counting only the distinct ones).

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

Adding to 10142120220 its reverse (2202124101), we get a palindrome (12344244321).

The spelling of 10142120220 in words is "ten billion, one hundred forty-two million, one hundred twenty thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 313 509 626 939 1018 1061 1252 1527 1565 1878 2036 2122 2545 3054 3130 3183 3756 4244 4695 5090 5305 6108 6260 6366 7635 9390 10180 10610 12732 15270 15915 18780 21220 30540 31830 63660 159317 318634 332093 477951 540049 637268 664186 796585 955902 996279 1080098 1328372 1593170 1620147 1660465 1911804 1992558 2160196 2389755 2700245 3186340 3240294 3320930 3985116 4779510 4981395 5400490 6480588 6641860 8100735 9559020 9962790 10800980 16201470 19925580 32402940 169035337 338070674 507106011 676141348 845176685 1014212022 1690353370 2028424044 2535530055 3380706740 5071060110 10142120220