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100121222110 = 25713613794759
BaseRepresentation
bin101110100111110110…
…0001001101111011110
3100120102121202001201111
41131033230021233132
53120022013101420
6113554533132234
710143045226510
oct1351754115736
9316377661644
10100121222110
1139508902068
12174a248a07a
1395979739c0
144bbb1b7bb0
15290ebd245a
hex174fb09bde

100121222110 has 128 divisors (see below), whose sum is σ = 226085529600. Its totient is φ = 31078494720.

The previous prime is 100121222093. The next prime is 100121222141. The reversal of 100121222110 is 11222121001.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 21035911 + ... + 21040669.

It is an arithmetic number, because the mean of its divisors is an integer number (1766293200).

Almost surely, 2100121222110 is an apocalyptic number.

100121222110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

100121222110 is an abundant number, since it is smaller than the sum of its proper divisors (125964307490).

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

100121222110 is a wasteful number, since it uses less digits than its factorization.

100121222110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5226.

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 100121222110 its reverse (11222121001), we get a palindrome (111343343111).

The spelling of 100121222110 in words is "one hundred billion, one hundred twenty-one million, two hundred twenty-two thousand, one hundred ten".

Divisors: 1 2 5 7 10 13 14 26 35 61 65 70 91 122 130 182 305 379 427 455 610 758 793 854 910 1586 1895 2135 2653 3790 3965 4270 4759 4927 5306 5551 7930 9518 9854 11102 13265 23119 23795 24635 26530 27755 33313 34489 46238 47590 49270 55510 61867 66626 68978 115595 123734 161833 166565 172445 231190 290299 300547 309335 323666 333130 344890 433069 580598 601094 618670 809165 866138 1451495 1502735 1618330 1803661 2032093 2103829 2165345 2902990 3005470 3607322 3773887 4064186 4207658 4330690 7547774 9018305 10160465 10519145 12625627 18036610 18869435 20320930 21038290 23447593 25251254 26417209 37738870 46895186 52834418 63128135 110023321 117237965 126256270 132086045 164133151 220046642 234475930 264172090 328266302 550116605 770163247 820665755 1100233210 1430303173 1540326494 1641331510 2860606346 3850816235 7151515865 7701632470 10012122211 14303031730 20024244422 50060611055 100121222110