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1002111010110 = 232576412481517
BaseRepresentation
bin11101001010100100111…
…10001000010100111110
310112210121211122211221200
432211102132020110332
5112404310404310420
62044210300440330
7132254150020320
oct16452236102476
93483554584850
101002111010110
11356aa15a4051
12142270b490a6
137366373cc52
143670695b610
151b101c55b90
hexe95278853e

1002111010110 has 96 divisors (see below), whose sum is σ = 2982347888832. Its totient is φ = 228696514560.

The previous prime is 1002111010027. The next prime is 1002111010123. The reversal of 1002111010110 is 110101112001.

1002111010110 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 1002111010092 and 1002111010101.

It is a congruent number.

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, 836929 + ... + 1644588.

It is an arithmetic number, because the mean of its divisors is an integer number (31066123842).

Almost surely, 21002111010110 is an apocalyptic number.

1002111010110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1002111010110 is an abundant number, since it is smaller than the sum of its proper divisors (1980236878722).

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

1002111010110 is a wasteful number, since it uses less digits than its factorization.

1002111010110 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2482178 (or 2482175 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 9.

Adding to 1002111010110 its reverse (110101112001), we get a palindrome (1112212122111).

The spelling of 1002111010110 in words is "one trillion, two billion, one hundred eleven million, ten thousand, one hundred ten".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 30 35 42 45 63 70 90 105 126 210 315 630 641 1282 1923 3205 3846 4487 5769 6410 8974 9615 11538 13461 19230 22435 26922 28845 40383 44870 57690 67305 80766 134610 201915 403830 2481517 4963034 7444551 12407585 14889102 17370619 22333653 24815170 34741238 37222755 44667306 52111857 74445510 86853095 104223714 111668265 156335571 173706190 223336530 260559285 312671142 521118570 781677855 1563355710 1590652397 3181304794 4771957191 7953261985 9543914382 11134566779 14315871573 15906523970 22269133558 23859785955 28631743146 33403700337 47719571910 55672833895 66807400674 71579357865 100211101011 111345667790 143158715730 167018501685 200422202022 334037003370 501055505055 1002111010110